Podcast
Questions and Answers
In a single degree of freedom vehicle model vibrating vertically, what is the most appropriate method to determine the vehicle's response to a sinusoidal road elevation?
In a single degree of freedom vehicle model vibrating vertically, what is the most appropriate method to determine the vehicle's response to a sinusoidal road elevation?
- Utilizing a Simulink program to solve the derived equation of motion. (correct)
- Direct experimentation on various road surfaces.
- Applying principles of fluid dynamics.
- Consulting automotive industry standards.
What adjustments should an engineer make to decrease the natural frequency of an automotive suspension system modeled as a spring-mass-damper?
What adjustments should an engineer make to decrease the natural frequency of an automotive suspension system modeled as a spring-mass-damper?
- Increasing the mass while decreasing the spring stiffness. (correct)
- Increasing the spring stiffness while decreasing the mass.
- Reducing both the mass and the spring stiffness.
- Increasing both the mass and the spring stiffness proportionally.
How does increasing the viscosity of the damper fluid in a vehicle suspension system MOST affect the system’s response to vibrations?
How does increasing the viscosity of the damper fluid in a vehicle suspension system MOST affect the system’s response to vibrations?
- It increases the natural frequency.
- It increases the damping coefficient, reducing oscillations. (correct)
- It reduces the damping coefficient, leading to more oscillations.
- It has no effect on the damping characteristics.
A rack and pinion system has both damping and spring forces. Assuming the input is an applied torque and the output is linear displacement, what is critical in deriving the equation of motion?
A rack and pinion system has both damping and spring forces. Assuming the input is an applied torque and the output is linear displacement, what is critical in deriving the equation of motion?
In a rack and pinion system, what BEST describes the effect of increasing the pinion's radius on the equivalent mass ($M_{eq}$) of the system?
In a rack and pinion system, what BEST describes the effect of increasing the pinion's radius on the equivalent mass ($M_{eq}$) of the system?
If a cam-follower mechanism converts rotary to reciprocating motion, what parameter is MOST critical to determine the system's dynamic response?
If a cam-follower mechanism converts rotary to reciprocating motion, what parameter is MOST critical to determine the system's dynamic response?
In a cam-follower system that uses a rocker arm, how does the distance ratio between the rocker arm's input and output points affect the equivalent mass of the system?
In a cam-follower system that uses a rocker arm, how does the distance ratio between the rocker arm's input and output points affect the equivalent mass of the system?
In a rotating mechanical system with multiple shafts connected by gears, what MUST be known to determine the equivalent moment of inertia for the entire system?
In a rotating mechanical system with multiple shafts connected by gears, what MUST be known to determine the equivalent moment of inertia for the entire system?
How does increasing the stiffness ($K_2$) of a shaft connecting two rotating inertias affect the system's torsional natural frequency?
How does increasing the stiffness ($K_2$) of a shaft connecting two rotating inertias affect the system's torsional natural frequency?
In a torsional system, if the torque applied is zero, that indicates what about the system?
In a torsional system, if the torque applied is zero, that indicates what about the system?
What is the MOST accurate interpretation of 'finding equivalent mass' if a rolling object is connected to a spring-mass system?
What is the MOST accurate interpretation of 'finding equivalent mass' if a rolling object is connected to a spring-mass system?
How do stiffness and damping contribute to the performance within a valve?
How do stiffness and damping contribute to the performance within a valve?
What changes MUST occur to derive the formula for torsion damping in a journal bearing?
What changes MUST occur to derive the formula for torsion damping in a journal bearing?
In a system involving four parallel rods, what equation enables you to determine the equivalent spring constant ($K_{eq}$)?
In a system involving four parallel rods, what equation enables you to determine the equivalent spring constant ($K_{eq}$)?
What adjustments should one make to a vehicle wheel in a suspension system modeled as a spring-mass-damper to reduce road elevation?
What adjustments should one make to a vehicle wheel in a suspension system modeled as a spring-mass-damper to reduce road elevation?
When analyzing a mechanical system with multiple gears, which parameter is MOST crucial for determining how the kinetic energy transforms through the system?
When analyzing a mechanical system with multiple gears, which parameter is MOST crucial for determining how the kinetic energy transforms through the system?
What occurs when there are rigid shafts linking rotating inertias?
What occurs when there are rigid shafts linking rotating inertias?
Within a system composed of interlinked gears, what determines how the motion of rotation adapts to other parts?
Within a system composed of interlinked gears, what determines how the motion of rotation adapts to other parts?
What factors are involved to determine if motion is accounted for with an elastic shaft?
What factors are involved to determine if motion is accounted for with an elastic shaft?
In mechanical systems, what can be stated that is related to the stiffness directly in regards to the shafts?
In mechanical systems, what can be stated that is related to the stiffness directly in regards to the shafts?
What does 'finding equivalent mass' mean when analyzing a dynamic system involving both linear and rotational motion?
What does 'finding equivalent mass' mean when analyzing a dynamic system involving both linear and rotational motion?
Under what conditions is shear related to spur gears?
Under what conditions is shear related to spur gears?
What occurs with no elasticity in a shaft?
What occurs with no elasticity in a shaft?
What should be known about a rotor to study the damping effects?
What should be known about a rotor to study the damping effects?
What is the effect of having springs and dampers, during bumped road elevation?
What is the effect of having springs and dampers, during bumped road elevation?
Flashcards
Automobile Vibration Model
Automobile Vibration Model
A single degree of freedom system vibrating vertically, driven by a sinusoidal road elevation.
Rack and Pinion System
Rack and Pinion System
A system where a rack and pinion gear is influenced by damping and spring forces.
Cam-Follower Mechanism
Cam-Follower Mechanism
A mechanism converting rotary to oscillating motion using a cam and follower.
Spring Stiffness (K)
Spring Stiffness (K)
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Damping Coefficient (C)
Damping Coefficient (C)
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Mass (M)
Mass (M)
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Equivalent Mass
Equivalent Mass
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Damping constant
Damping constant
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Overall stiffness
Overall stiffness
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Shaft Stiffness
Shaft Stiffness
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Study Notes
- The material covers concepts from mechanical engineering, focusing on vibration, equations of motion, and system modeling.
- It includes example questions with worked solutions, related to topics like automotive suspension, gear systems, and cam-follower mechanisms.
- Equations are derived and analyzed, alongside information how to solve them using programs like Simulink.
General Concepts and Equations
- deals with before solving problems by advising review of lecture material before solving anything.
- Laplace transform is used for initial value ODE problems and represents the transformation of functions.
- Force equations are used and manipulated to find how design choices affect the frequency response, which describes the system response to different input frequencies.
Automobile Suspension Example
- An automobile is modeled as a single degree of freedom system vibrating vertically.
- The vehicle is driven on a road with sinusoidal elevation changes.
- The equation of motion can be derived and solved using Simulink to find the response of the vehicle.
- For the spring, the mean diameter is 100 mm, number of active coils is 10, wire diameter is 10 mm and shear modulus is 80 GPa.
- For the damper, the height of piston is 40 mm, the clearance between the piston and cylinder is 1 mm, the diameter of piston is 70 mm, and viscosity is 0.035 N.s/m squared.
- The damping coefficient C is 1163.77 N s/m
Rack and Pinion Gear System
- A rack and pinion gear system has damping and spring forces acting against the rack.
- A linear motion model can be developed using the applied torque and linear displacement.
- Twisting in the shaft is neglected.
Cam-Follower Mechanism & Valve Spring
- A cam-follower mechanism converts rotary motion to oscillating motion to operate a valve.
- The follower system includes:
- A pushrod
- A rocker arm with a moment of inertia J around its center of rotation O.
- Finding the equivalent mass with location at point A is necessary.
- Equivalent stiffness of the bar BC and valve spring must be found.
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