Quiz 3: Mechanical vibration

Q1: Which of the following is TRUE for vibration of a mechanical system:

Damping ratio (ξ) is the ratio of the critical damping to the actual damping

The damping can be obtained from the response of the system under forced vibration using logarithmic decrement method

For damped mechanical systems, the amplitude of vibration tends to become infinity when excitation frequency (ω) reaches the system's natural frequency (ωn )

Amplitude ratio and transmissibility of a vibration isolator is unity when the frequency of exciting force is √2 times the natural frequency

Q2: In a system subjected to damped forced vibrations, the ratio of maximum displacement to the static deflection is known as:

Critical damping ratio

Magnification factor

Damping factor

Transmissibility factor

Q3: Consider the steady-state absolute amplitude equation shown below, if ω / ωn = √2 then amplitude ratio (X/Y) =? (X/Y) = √{1 + [ 2ξ (ω/ωn)]2} / √{[1 – (ω/ωn)2]2 + {2ξ (ω/ωn)2}:

Less than 1

Greater than 1

Q4: The equation m(d2x/ dt2) + c (dx/dt) + Kx = F0 sin ωt is a second order differential equation. The solution of this linear equation is given as:

Complementary function

Particular function

Sum of complementary and particular function

Difference of complementary and particular function

Q5: When the body vibrates under the influence of external force, then the body is said to be under ___________:

Free vibrations

natural vibrations

Forced vibrations

Damped vibrations

Q6: Which of the following is a type of transmitted force to the foundation?

Damping force

Torsional force

Undamping force

Tensile force

Quiz 3: Mechanical vibration

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