Electric Motor Vibration Analysis

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Questions and Answers

What is the relationship between the electric motor's weight and its mass?

  • Weight is mass multiplied by air resistance.
  • Mass is weight divided by gravitational acceleration. (correct)
  • Weight is mass divided by gravitational acceleration.
  • Weight is equal to mass.

The damping coefficient of a foundation can be directly determined from the undamped natural frequency alone.

False (B)

In the context of the electric motor's vibration response, what does 'damping' refer to?

Energy dissipation

The undamped natural frequency is the frequency at which a system oscillates without the presence of ________.

<p>damping</p> Signup and view all the answers

Match the following terms with their descriptions related to the electric motor's vibration:

<p>Spring constant = A measure of the foundation's stiffness. Damping coefficient = A measure of the foundation's energy dissipation capability. Undamped natural frequency = Frequency of oscillation without damping. Damped natural frequency = Frequency of oscillation with damping.</p> Signup and view all the answers

Which of the following is most influenced by the damping coefficient?

<p>The rate at which oscillations decay (C)</p> Signup and view all the answers

A higher spring constant in the foundation will always lead to a lower natural frequency of the electric motor.

<p>False (B)</p> Signup and view all the answers

What is the unit of measurement for the spring constant of the foundation?

<p>N/m or N/mm</p> Signup and view all the answers

The damped natural frequency is always ______ than the undamped natural frequency in a real-world system with damping.

<p>lower</p> Signup and view all the answers

Match the vibration response characteristic to the property it primarily indicates:

<p>Frequency of oscillation = System stiffness and mass Rate of decay of oscillations = Damping in the system Amplitude of oscillation = Energy in the system</p> Signup and view all the answers

If the electric motor's foundation exhibits a response with oscillations that decay very slowly, what does this indicate?

<p>Low damping (C)</p> Signup and view all the answers

The undamped natural frequency depends on the damping coefficient.

<p>False (B)</p> Signup and view all the answers

What physical property does the spring constant represent?

<p>Stiffness</p> Signup and view all the answers

The damped natural frequency is calculated considering both the system's stiffness/mass and the _______.

<p>damping</p> Signup and view all the answers

Match the parameter with its effect on the oscillation of the electric motor:

<p>Increased spring constant = Higher natural frequency Increased damping coefficient = Faster decay of oscillations Increased mass = Lower natural frequency</p> Signup and view all the answers

How does increasing the mass of the electric motor affect the undamped natural frequency, assuming the spring constant remains the same?

<p>Decreases it (D)</p> Signup and view all the answers

If a system is critically damped, it will oscillate around its equilibrium position.

<p>False (B)</p> Signup and view all the answers

What type of damping is present if the system returns to equilibrium slowly without oscillating?

<p>Overdamping</p> Signup and view all the answers

In an underdamped system, the damping ratio is _______ than 1.

<p>less</p> Signup and view all the answers

Match the type of damping with its characteristic behavior:

<p>Underdamped = Oscillates with decaying amplitude Critically damped = Returns to equilibrium quickly without oscillation Overdamped = Returns to equilibrium slowly without oscillation</p> Signup and view all the answers

Flashcards

Electric Motor Weight

The weight of the electric motor is 500 N.

Calculating Mass (m)

Mass is calculated by dividing weight by the acceleration due to gravity (g = 9.81 m/s²).

Electric Motor Mass

Calculate the mass: m = 500 N / 9.81 m/s² = 50.968 kg

Study Notes

  • An electric motor weighing 500 N is mounted on different foundations, and its free-vibration responses are analyzed.
  • The objective is to identify:
  • The nature of damping provided by each foundation.
  • The spring constant and damping coefficient of each foundation.
  • The undamped and damped natural frequencies of the electric motor.

Mass Calculation

  • The motor's mass is calculated using its weight: m = W/g
  • Where W = 500 N and g = 9.81 m/s²
  • Therefore, m ≈ 50.968 kg

Figure (a) Analysis

  • The subsequent steps involve analyzing Figure (a) to determine the damping nature, spring constant, damping coefficient, and natural frequencies.

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