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0 Bulacan State University College of Industrial Technology Academic Year 2023-2024 BEVEL GEAR "Research in Kinetics and Dynamics and Machineries" Researchers: SA...

0 Bulacan State University College of Industrial Technology Academic Year 2023-2024 BEVEL GEAR "Research in Kinetics and Dynamics and Machineries" Researchers: SACDALAN, Gabriel L. RAGASA, Nina Grace Instructor: Ms. Marjorie O. Pagdanganan 1 Definition: Technical Definition: Bevel gears are a type of mechanical gear system characterized by conical-shaped teeth arranged on intersecting shafts, enabling the transmission of motion and power between non-parallel shafts. These gears are designed to connect shafts at various angles, facilitating torque and speed transfer in machinery. Bevel gears exhibit versatility in applications, including but not limited to automotive differentials, marine propulsion systems, and various industrial machinery. Their operational efficiency is contingent upon precise design considerations, size measurements, and material choices, with maintenance practices such as lubrication and periodic inspections playing a crucial role in ensuring optimal performance and longevity. A bevel gear is a specialized type commonly used in mechanical power transmission systems, characterized by its conical shape and ability to transfer motion between intersecting shafts at different angles. Bevel gears are crucial components in various machinery, offering efficient and reliable means of transmitting rotational power and torque between shafts that are not parallel. Key Components: 1. Gear Teeth: Like other gears, bevel gears have teeth that engage with each other to transmit motion. The shape and arrangement of these teeth are designed to ensure smooth and efficient power transfer. 2 2. Cone Geometry: The defining feature of bevel gears is their conical shape, with the gear teeth cut along the surface of a cone. This design allows bevel gears to transfer motion between shafts at different angles, enabling them to change the direction of rotation. Types of Bevel Gears: 1. Straight Bevel Gears: o The most common type of bevel gear. o The teeth are straight and taper towards the apex of the cone. o Suitable for applications where the intersecting shafts form a 90-degree angle. 3 2. Spiral Bevel Gears: o Features curved teeth that spiral around the gear. o Offers smoother operation and reduced noise compared to straight bevel gears. o Ideal for high-speed and high-torque applications. 3. Zerol Bevel Gears: o A hybrid between straight and spiral bevel gears. o It combines the advantages of both types, providing some of the benefits of spiral gears without the complexities. 4 4. Hypoid Gears: o Similar to spiral bevel gears but with an offset shaft distance. o Enables more excellent torque transmission and efficiency in specific applications, such as automotive differentials. 5 Applications: 1. Automotive Industry: o Bevel gears are widely used in the automotive industry for applications such as differential systems and power transmission in rear-wheel and all-wheel drive vehicles. 2. Industrial Machinery: o Found in various industrial machines for conveying rotational motion between intersecting shafts, especially when the shafts are not parallel. 3. Marine Applications: o They are used in marine propulsion systems to transfer power between the engine and the propeller shaft, accommodating the non-parallel orientation of these components. 4. Aerospace: o Bevel gears are used in aircraft systems for actuating control surfaces and transferring power between non-parallel shafts. Design Considerations: 6 Pitch Cone Angle: The angle of the cone formed by the gear teeth affects the gear's performance and load-bearing capacity. Tooth Profile: The design of the gear teeth influences factors such as noise, efficiency, and load-carrying capacity. Materials: Bevel gears are often made from steel, alloy, or plastics, depending on the application's requirements. Overall, bevel gears are crucial in power transmission systems, providing an efficient and versatile solution for transmitting motion between intersecting shafts at various angles. The specific type of bevel gear choice depends on the application's requirements, including the angle between shafts, torque, and speed considerations. Introduction: Bevel gears are essential components in mechanical engineering, with their conical shape allowing for versatile and indispensable power transmission systems. They redirect rotational forces along intersecting shafts, overcoming angular misalignments. This research explores the intricate design intricacies, diverse typologies, and multifaceted applications of bevel gears in contemporary engineering landscapes. 7 At the heart of bevel gear dynamics lies the meticulously crafted anatomy of gear teeth and the conical pitch surfaces they adorn. The pitch cone angle is a fundamental parameter that governs the interplay between mechanical efficiency and load-bearing capabilities. Understanding the implications of pitch cone angles on gear performance is crucial for optimizing power transmission systems for diverse industrial applications. Bevel gears come in various specialized configurations tailored to specific operational demands. Straight bevel gears are linear and taper towards the cone's apex, making them ideal for applications requiring a 90-degree intersection of shafts. Spiral bevel gears have curved teeth spiraling along the gear's surface, making them indispensable in high-speed and high-torque scenarios. Zerol bevel gears combine the virtues of straight and spiral gears, offering a nuanced solution for applications requiring a delicate balance of attributes. Hypoid gears are a subtype of spiral bevel gears that cater to scenarios where an offset shaft distance becomes a defining factor. In the automotive domain, hypoid gears optimize torque transmission in vehicles with diverse wheel speeds. This taxonomy underscores the adaptability of bevel gears across a spectrum of engineering exigencies. Bevel gears are ubiquitous across varied industrial domains, including the automotive sector, industrial machinery, marine propulsion systems, and aerospace applications. They form the backbone of differential systems in the automotive landscape, manage torque differentials between drive wheels, and ensure the harmony of complex machinery in industrial applications. In marine applications, these gears navigate the seas, precisely 8 linking engines to propellers. Moreover, the aerospace sector integrates bevel gears in critical systems, enabling the articulate actuation of control surfaces and harmonizing non- parallel shafts with finesse. Design considerations extend beyond typologies to encompass critical parameters such as tooth profile and material selection. Tooth profile design factors include noise reduction, operational smoothness, and load-carrying capacity. Material selection ranges from traditional steel alloys to advanced polymers, aligning their characteristics with the specific demands of diverse applications. This research aims to unravel the nuances that define bevel gear design, classify their variations, and underscore their pivotal role across industries. By navigating this landscape, we aspire to enhance mechanical systems' efficiency, reliability, and performance by propelling the understanding and utilization of bevel gears to new frontiers in contemporary engineering. Size and Measurements of Bevel Gears: Bevel gears, integral to diverse mechanical systems, exhibit a nuanced array of size and measurement specifications that are pivotal in determining their functional efficiency and compatibility within specific applications. The geometric intricacies of these gears, characterized by conical profiles and intermeshing teeth, demand precise considerations for size, pitch, and other critical dimensions. This exploration delves into the key 9 parameters governing the size and measurements of bevel gears, shedding light on the design intricacies that define their performance characteristics. 1. Pitch Diameter: The pitch diameter represents a fundamental dimension of a bevel gear and is crucial in defining its size. For straight bevel gears, the pitch diameter is located at the midpoint of the gear teeth, while for spiral bevel gears, it is influenced by the helix angle. The pitch diameter forms the basis for calculating the gear ratio and is instrumental in determining the contact ratio, influencing the smoothness of gear operation. 2. Cone Distance: The cone distance, also known as the distance between gear cones, is a vital measurement that dictates the axial positioning of bevel gears. This dimension becomes particularly significant in applications where precise axial alignment is essential, influencing factors such as load distribution and gear engagement. In the context of hypoid gears, the cone distance takes on added importance due to the offset shaft configuration. 3. Cone Angle: The cone angle is a defining geometric parameter of bevel gears, representing the angle formed by the gear cone. This measurement is critical in determining the type of bevel gear and plays a pivotal role in the overall design. The cone angle significantly impacts the gear's load-carrying capacity, efficiency, and contact pattern, making it a key consideration in gear design. 10 4. Face Width: The face width, or axial width, of a bevel gear refers to the dimension parallel to the axis of rotation. This measurement influences the gear's ability to transmit torque and withstand radial loads. Proper consideration of face width is crucial in ensuring optimal load distribution across the gear teeth, preventing premature wear and enhancing the overall durability of the gear. 5. Tooth Profile: The tooth profile of bevel gears is a critical dimension that defines the shape and geometry of individual teeth. Common tooth profiles include straight, spiral, and helical variations, each with distinct advantages in terms of load distribution, noise reduction, and efficiency. The selection of an appropriate tooth profile is contingent upon the specific requirements of the application, balancing factors such as smooth operation and torque transmission. 6. Module and Diametral Pitch: Bevel gears, like other types of gears, are characterized by module (for metric systems) or diametral pitch (for imperial systems). These parameters define the size and spacing of the gear teeth and are crucial for ensuring compatibility between meshing gears. The module and diametral pitch influence the overall design, meshing characteristics, and load-carrying capacity of bevel gears. 11 Overall, the size and measurements of bevel gears are a combination of several parameters that are interconnected with their functional performance. These gears are used in various industries such as automotive and aerospace machinery, making it essential for engineers and designers to have a comprehensive understanding of their dimensions to improve the performance, durability, and efficiency of mechanical power transmission systems. Purpose In Industry: Bevel gears are adaptable components that play an important role in various industries by effectively transmitting power between crossing shafts at varied angles. The distinct design of these gears makes them essential in various applications across several industries. Here is a more in-depth look at the use of bevel gears in several industries: Automotive Industry: Bevel gears are essential components of vehicle differentials. They allow torque to be sent from the driveshaft to the wheels, allowing smooth turning and guaranteeing that wheels may rotate at varied rates while maintaining balanced torque distribution. Aerospace Industry: Bevel gears, notably in helicopter engineering, are used in the aerospace industry to transmit power from the engine to the main rotor. Bevel gears accommodate the intricate angular connections inherent in helicopter power transmission systems. 12 Mining and Construction: Bevel gears are used in heavy machinery such as excavators and bulldozers in the mining and construction sectors. These gears transfer power from the engine to numerous components, ensuring effective operation in rugged terrain. Marine Industry: Bevel gears are essential in maritime propulsion systems, delivering power from the engine to the propeller shaft. Their capacity to tolerate angular power transfer is beneficial when the engine and propeller are not perfectly aligned. Power Generation: Bevel gears transmit power between the turbine and the generator in hydroelectric power plants. In these power production systems, their flexibility in angular transmission is critical. Industrial Machinery: Bevel gears are used in a variety of industrial machinery, including milling machines and lathes. They allow for accurate angular power transfer, improving these devices' precision and efficiency. Railway Industry: 13 Bevel gears are used in train gear systems in the railway sector. They are essential in the gearbox between the engine and the wheels, assisting to the locomotive's smooth functioning and power transmission. Textile Industry: Bevel gears are used in textile technology to help transfer power between different components in spinning and weaving machines. Their dependability is critical to the accuracy of these procedures. Oil and Gas Industry: Bevel gears are critical components of oil and gas drilling equipment. They improve angular power transfer in various drilling rig components, aiding the success of exploration and extraction operations. Robotics: Bevel gears are often used in robotic arms and manipulators in robotics. Their role is critical in effectively conveying electricity while allowing movement and orientation flexibility, adding to various robotic systems. Overall, the broad usage of bevel gears throughout industries highlights their significance in providing accurate, dependable, and efficient power transfer in situations where crossing shafts work at various angles. Bevel gears' flexibility and versatility make them essential in the complex machinery and systems that power current industrial operations. 14 Materials: Bevel Gear Material Selection Process: Selecting the appropriate technical material for producing bevel gears is time-consuming and complex. The final product's performance, durability, and cost-effectiveness are significantly influenced by the material used. Several meticulous phases are usually included in the material selection process: 1. Developing Selection Criteria: The first step is to develop selection criteria that outline the precise design needs. A complete set of criteria is evaluated for bevel gears, which includes mechanical features, manufacturing properties, environmental concerns, economic elements, and availability difficulties. o Mechanical characteristics: Because gears play an important part in power transmission, mechanical characteristics are crucial. Density, strength, ductility, and wear resistance are all important considerations. o Processing Ease: The ease with which a material may be processed substantially impacts cost-effectiveness. Machinability, castability, and malleability are all critical considerations. 15 o Environmental Properties: In this day and age, determining a material's environmental impact is critical. Embodied energy and CO2 footprints are indicators of a material's environmental sustainability. o Economic Considerations: Material costs are critical in determining the overall cost-effectiveness of the finished product. o Material Availability: Considering the material's local availability reduces transportation costs and time, contributing to the overall efficiency of the manufacturing process. 2. Materials for Shortlisting: A shortlist is formed from the vast diversity of accessible materials after a comprehensive literature assessment and analysis of related items. This condensed list generally comprises three or four elements that show possible application appropriateness. 3. Materials should be evaluated based on the following selection criteria: Each shortlisted item is rigorously evaluated against the defined selection criteria. A quantitative evaluation is made more accessible by assigning points or marks based on achievement in each criterion. 4. Choosing the Best Material: 16 Materials are then graded based on their total scores, with the top-ranked material frequently being chosen for manufacture. Practical issues such as material availability, on the other hand, may impact the ultimate selection. 5. Gear Material Selection Procedure: 5.1 Criteria for Selection: Mechanical Characteristics: o Thickness o Fortitude o Fertility o Resistance to wear and tear Manufacturing Characteristics: o Manufacturability Environmental Qualities: o Physical Energy o CO2 Emissions Economic Considerations: o Price per pound 17 Accessibility: o Local accessibility 5.2 Material Selection: Alloy Steel, Bronze, and Aluminum Alloy are three typical materials used in gear production that have been shortlisted for in-depth assessment. 5.3 Material Assessment: Mechanical Characteristics: o Alloy steel has a high density, exceptional strength, outstanding ductility, and high wear resistance. o Bronze has a moderate density, excellent strength, ductility, and wear resistance. o Aluminum Alloy has Low density, high strength, ductility, and wear resistance. Manufacturing Characteristics: o Alloy Steel: High machinability. o Bronze: Excellent machinability o Aluminum Alloy: Excellent machinability 18 Environmental Qualities: o Alloy steel has a low embodied energy and a low CO2 footprint. o Bronze: Low embodied energy, low CO2 footprints o Aluminum Alloy: Has a low embodied energy but a high CO2 footprint. Economic Considerations: o Low-cost alloy steel o Bronze: Moderately priced o Aluminum Alloy: Low cost Accessibility: o All materials are widely available in the local area. 5.4 Selection: According to the complete examination, Alloy Steel is the best material for gear production. Its high yield strength, outstanding wear resistance, low embodied energy, low CO2 footprints, and low cost make it the best choice for creating long-lasting and low- priced bevel gears. Overall, the material selection process is a sophisticated journey that involves methodical examination against numerous criteria to ensure the end product's best performance and cost-effectiveness. Alloy Steel is the better material for producing high- performance bevel gears in this scenario. Bevel Gear Manufacturing Procedure: 19 1. Design: o Begin the production process with a rigorous design step that defines gear requirements. The number of teeth, module (gear size), pressure angle, and pitch diameter are determined. o Consider the tooth profile, with straight, spiral, or hypoid teeth available, depending on the specific needs and intended application of the bevel gears. 2. Material Choice: o Conduct a thorough selection procedure to determine the best material for the bevel gears. Consider the previously listed criteria, including mechanical qualities, manufacturing features, environmental effects, economic considerations, and local availability. o Alloy steel is used for toughness, bronze for wear resistance, and aluminum alloy for lightweight purposes. 3. Preparing the Blank: o Begin the physical metamorphosis by creating a blank from the material of choice. It may be necessary to cut or forge a raw metal bar or sheet into a preliminary form resembling the final gear. 4. Machining rough: 20 o Use machining procedures like milling or turning to remove extra material from the blank and refine its shape to match the final intended form closely. o This step is critical in defining the bevel gear's basic geometry, which sets the scene for further precision machining. 5. Cutting Gear Tooth: o Bevel gears are distinguished by their tooth geometry. To meticulously manufacture the gear teeth, use different cutting procedures such as gear hobbing, gear shaping, or gear milling. o Gear hobbing is gradually shaping the teeth with a hob tool while rotating. Gear shaping uses a shaped cutting tool, whereas gear milling uses a revolving cutter to produce the teeth precisely. 6. Treatment with Heat: o To improve the mechanical qualities of the machined gears, subject them to a regulated heat treatment process. Quenching and tempering are two processes that lead to enhanced hardness, strength, and durability. 7. Finishing Methods: o After heat treatment, finishing procedures should be used to produce the desired surface finish and dimensional precision. o Grinding or lapping techniques can improve accuracy, minimize surface roughness, and guarantee that the gears fulfill strict quality requirements. 21 8. Inspection: o Perform a thorough check of the gears that are produced. Dimensional tests, hardness testing, and visual inspections ensure that the gears satisfy the prescribed tolerances and quality requirements. 9. Assembly: o Proceed with the assembly method if the bevel gears are part of a more extensive assembly. Ensure appropriate gear alignment and engagement to avoid difficulties like misalignment or excessive backlash, which are critical for optimal performance in the end application. 10. Optional Surface Coating: o Depending on the intended application, consider adding extra surface finishes such as plating or coating. This can improve corrosion resistance or reduce friction, increasing durability and performance in particular situations. 11. Quality Assurance: o Make quality control a priority, with final tests to ensure that the manufactured bevel gears meet all needed specifications and industry standards. This involves a thorough examination of both dimensions and material attributes. 12. Shipping and packaging: 22 o Finish the manufacturing process by securely packing the bevel gears for shipment to end users or the next step of the manufacturing chain. Specific manufacturing techniques for bevel gears may evolve due to gear type, production scale, and technological improvements such as CNC machining and computer-aided design (CAD). These technologies aid in the overall precision and efficiency of the bevel gear manufacturing process. Instruction Bevel Gears: A Comprehensive Instruction Guide: Understanding how to handle, install, and repair bevel gears improves performance and guarantees the machinery's lifespan. The full instructions that follow give a complete tutorial for dealing with bevel gears: 1. Understanding Equipment Specifications: o Investigate the characteristics of the bevel gear's design by closely examining the specs supplied. Take note of the number of teeth, pitch diameter, pressure angle, and any other special features stated by the manufacturer. 2. Handling and Inspection: o Perform a thorough check before installation. Examine the gear surface for any evident damage, abnormalities, or deformities. 23 o Use extreme caution when handling the gears to avoid any collision or falling that might damage their accuracy and operational efficiency. 3.Storage Techniques: o Keep bevel gears in a regulated, dry, and clean environment. Preventing moisture and contaminant exposure is critical for preserving the integrity of the gear components. o For ideal storage conditions, follow the manufacturer's instructions if the gears have particular coatings or treatments. 4.Installation Instructions: o Ensure that shafts are precisely aligned during the installation procedure. Misalignment can cause greater friction, wear, and overall inefficiency. o Follow the manufacturer's instructions for mounting operations and use appropriate fasteners with the required torque levels. 5. Lubrication: o Use the prescribed lubricant with a well-defined lubrication schedule. Lubrication is critical for decreasing friction, minimizing wear, and ensuring smooth gear functioning. o Consider the working circumstances and select lubricants that resist the application's temperature and environmental elements. 24 6. During Operation Inspection: o Establish a schedule for frequent inspections of the machinery while it is in use. Watch for strange noises, vibrations, or temperature changes, which might signal problems like misalignment or inadequate lubrication. 7. Maintenance Plan: o Stick to the manufacturer's suggested maintenance regimen. Periodic inspections, lubrication checks, and, if necessary, replacement of worn components may be required. o Maintain meticulous records of maintenance operations, including dates, tasks completed, and any observations made during inspections. 8. Load and torque restrictions: o Use the bevel gears within the manufacturer's recommended load and torque limitations. Overloading can result in rapid wear and, eventually, gear failure. 9. Considerations for Temperature: o Be aware of the environment's working temperature conditions. Extreme temperatures can affect gear performance, requiring specialist lubricants or other cooling measures. 10. Replacement Gear: 25 o Replace bevel gears that exhibit wear, corrosion, or malfunction symptoms during routine inspections as soon as possible. Delaying replacement may result in more severe system damage. 11. Consult the manufacturer's instructions: o Review the manufacturer's extensive recommendations, technical documentation, and instructional materials. Manufacturers frequently provide installation, operating, and maintenance guidelines suited to their goods. 12. Precautions for Safety: o When dealing with bevel gears, prioritize safety by adhering to all manufacturer directions, precautions, and appropriate industry requirements. o Use suitable personal protection equipment and tools in compliance with safety rules. By diligently following these thorough instructions, users contribute to the dependability, efficiency, and safety of mechanical systems that employ bevel gears. In times of doubt or difficulty, seek specific advice from the manufacturer or a competent specialist. Bevel Gear Evaluation: 1. Efficiency: 26 Compared to other gear types, bevel gears have a high efficiency in power transfer. This efficiency is critical in applications where energy loss is minimized. To guarantee optimal power transfer, evaluate the gear meshing and tooth engagement. 2. Maximum Load Capacity: Examine the material qualities, tooth design, and overall structural integrity of the bevel gears to determine their load-carrying capabilities. Consider the gear's module, face width, and tooth shape to assess its capacity to bear the predicted torque and forces in the specific application. 3. Vibration and Noise: Spiral bevel gears, in particular, are designed to lower noise and vibration levels. Conduct tests to evaluate and compare noise and vibration characteristics, focusing on the gears' ability to provide smooth and quiet operation. Consider the gear meshing patterns and tooth contact to ensure minimal friction-induced vibrations. 4. Precision and Accuracy: Examine tooth shapes, surface polishes, and gear tolerances to determine the manufacturing accuracy of bevel gears. A high level of precision is required to enable smooth engagement, minimize wear, and extend the operating life of the gear. To determine the accuracy of the gear teeth, use metrology instruments. 5. Requirements for Maintenance: 27 Examine the bevel gear maintenance requirements, such as lubrication schedules, inspection intervals, and probable wear sites. Highlight any characteristics that make maintenance work easier or allow for easy component replacement. Examine the ease of access to crucial regions for routine inspections. 6. Compatibility: Determine if bevel gears are compatible with shaft layouts and gear combinations. Demonstrate their adaptability to varied systems demanding variations in rotational motion direction. Discuss any particular considerations or modifications that may be required for specific applications. Bevel Gears Demonstration: 1. How to Assemble and Disassemble: Provide a step-by-step presentation of the bevel gear assembly and disassembly methods. Highlight any quick-release mechanisms or creative design elements that make these operations easier and save downtime during maintenance or repairs. 2. Transmission of Power: Use a power supply to show the operation of the bevel gears. Demonstrate the seamless transmission of rotational motion from one shaft to another, highlighting the efficiency and dependability of the gears. Measure power losses with instruments and compare them to theoretical levels. 28 3. Load Control: Simulate real world situations by applying incremental loads to the system. Monitor and record how the bevel gears respond to the added stress, stressing their stability and dependability under changing load circumstances. Discuss any deformation or stress locations that were discovered during the demonstration. 4. Reduced Noise (if applicable): When utilizing spiral bevel gears, compare noise levels to those of other gear types. Use sound measurement equipment to quantify and demonstrate the noise reduction afforded by the spiral design. Examine the ramifications of noise reduction in real-world applications. 5. Scenarios of Application: Showcase a variety of real-world uses for bevel gears, such as automobile differential systems, marine propulsion, robotics, or industrial machinery. Describe how bevel gears' unique qualities, such as their ability to change rotational direction, make them important in specific applications. Case studies or success stories from related industries should be highlighted. Stakeholders may acquire a complete grasp of the capabilities, performance characteristics, and adaptability of bevel gears in engineering applications by combining a comprehensive review with a detailed and practical demonstration. 29 References: Bevel Gear: What are they? how do they work? types and uses. (n.d.). https://www.iqsdirectory.com/articles/gear/bevel-gear.html Types of gears | KHK Gear Manufacturer. (n.d.). https://khkgears.net/new/gear_knowledge/introduction_to_gears/types_of_gears.html Mobley, R. K. (2001). Gears and gear drives. In Elsevier eBooks (pp. 1029–1042). https://doi.org/10.1016/b978-075067328-0/50059-8 True Gear & Spline LTD. (n.d.). https://true-gear.com/applications-of-bevel-gears-in-industrial- machinery/blog.html Bevel Gears. (n.d.). Scribd. https://www.scribd.com/presentation/464579690/Bevel-Gears Machine design. (n.d.). Scribd. https://www.scribd.com/document/383954216/Machine-Design Material selection process for Bevel gear. (n.d.). https://www.green- mechanic.com/2018/04/material-selection-process-for-bevel.html Bevel Gear Design Project Main. (n.d.). Scribd. https://www.scribd.com/document/496778488/Bevel-Gear-Design-Project-Main Install bevel gears.pdf. (n.d.). Scribd. https://www.scribd.com/document/376511106/Install-bevel- gears-pdf bevel gear test: Topics by Science.gov. (n.d.). https://www.science.gov/topicpages/b/bevel+gear+test Errichello, R. L. (2014, May 7). How to install bevel gears for peak performance: Assemble spur and helical types differently. Machine Design. https://www.machinedesign.com/motors- drives/article/21833461/how-to-install-bevel-gears-for-peak-performance-assemble-spur-and- helical-types-differently 30 Reflection: Reflection 1: (Gabriel L. Sacdalan) The research regarding kinetics and dynamics in machinery, with a particular focus on bevel gears, has been an enlightening experience. As I delved into this project, I uncovered the intricate dance of forces and movements within machines, particularly honing in on the fascinating realm of bevel gears. Understanding the kinetics and dynamics of bevel gears has revealed the behind-the-scenes magic that keeps various machinery in motion. Exploring their conical forms and tooth dynamics has unveiled their significance in effortlessly connecting crossing shafts at different angles, making them integral components in power transmission systems. This project has introduced me to the diverse forms of bevel gears, ranging from standard to specialized hypoid gears. It has also shed light on their applications in different industries, such as automotive and marine. Recognizing their widespread use has underscored their importance in the larger landscape of machinery. In the process of this research, I delved into the nitty-gritty details of design considerations, size measurements, and material choices. This hands-on experience emphasized the meticulous preparation required for optimal performance, from the initial design phase to the intricacies of heat treatment. It became evident that precision and quality control are paramount in producing these critical components. Furthermore, the operational instructions provided insights into the practical aspects of handling, installing, and servicing bevel gears. The emphasis on precautions, lubrication, and regular inspections highlighted the crucial elements for ensuring their efficiency and longevity in real-world applications. Evaluating the performance of bevel gears based on efficiency, load capacity, noise levels, accuracy, maintenance, and compatibility provided a 31 comprehensive understanding of their role in machinery. Engaging in assembly, power transmission, and load control demonstrations bridged the theoretical knowledge and practical application gap, enriching my learning experience. In conclusion, this project has deepened my understanding of kinetics and dynamics in machinery and instilled in me a profound appreciation for the precision and intricacy involved in the design and operation of bevel gears. It's been a journey of discovery, unveiling the hidden complexities that drive the seamless functioning of the machines we encounter daily. Reflection 2: (Nina Grace Ragasa) With its conical form and complicated tooth arrangements, bevel gears are essential in conveying motion between crossing shafts inside machines. Straight, spiral, and hypoid are the three primary forms, each catering to particular mechanical demands. The straight bevel gear, which is essential yet dependable, is a foundational component in gear systems, with uses ranging from hand tools to car differentials. Because of its spiral-shaped teeth, the spiral bevel gear reduces vibration and noise, making it perfect for precision manufacturing and high-speed applications. Meanwhile, the hypoid bevel gear, with offset axes and distinctive tooth geometry, thrives in situations where limited space or exceptional working circumstances require a deviation from traditional gear arrangements. It is also difficult to check when making a manual bevel gear map, 2D, or scale model. Rotating machine elements transmit power between two or more intersecting shafts at an angle. The main advantages of bevel gears are their ability to change the operating angle and mechanical advantage by increasing or decreasing the ratio of teeth between the drive and accompanying wheels. Wheels can only work with their intended counterparts and must be precisely mounted to work correctly. 32 Documentation: Gabriel L. Sacdalan 33 Nina Grace Ragasa

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