Quiz on Free Vibration and Viscous Damping in SDF Systems

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

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

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

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

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

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

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

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

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

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

All structures of interest are overdamped systems.

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

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

All structures of interest are overdamped systems.

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