Quiz on Free Vibration and Viscous Damping in SDF Systems

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15 Questions

Free vibration occurs when a structure is disturbed from its static equilibrium position and then allowed to vibrate without any external dynamic loads.

True

The differential equation governing the response of SDF systems to harmonic force includes viscous damping.

True

Excluding viscous damping, the differential equation governing the response of SDF systems to free vibration is mü+cu̇+ku=0.

True

Is free vibration the result of external dynamic loads acting on a structure?

False

Does the differential equation for SDF systems with viscous damping under harmonic force have the form mü+cu̇+ku=po sin(ωt)?

True

Is a single-degree-of-freedom system a structure that has more than one DOF?

False

Is free vibration the result of external dynamic loads acting on a structure?

False

Excluding viscous damping, the differential equation governing the response of SDF systems to free vibration is mü+ ku=0.

True

A single-degree-of-freedom system can have multiple degrees of freedom.

False

Multi-degree-of-freedom systems have displacement amplitudes that decrease with every cycle of vibration.

False

All structures of interest are overdamped systems.

False

Resonance occurs when the dynamic stiffness of the structures equals infinity.

False

Multi-degree-of-freedom systems always have displacement amplitudes that decrease with every cycle of vibration.

False

All structures of interest are overdamped systems.

False

Resonance occurs when the dynamic stiffness of the structures equals the natural frequency of the system.

True

Test your knowledge on the differential equation governing the response of SDF systems to harmonic force with viscous damping in this quiz on free vibration. Keywords: free vibration, viscous damping, differential equation, SDF systems, harmonic force.

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