MecE 451 Chapter 5/6/7

An unforced system will always oscillate with a frequency  $p=\sqrt{\frac{k_{eff}}{m_{eff}}}$  

• True

• False

The steady-state response of a vibrating system is found by determining __________ of the differential equation

• The homogeneous solution

• The particular solution

• The characteristic equation

• Both the homogeneous and particular solutions

The force transmitted in a forced damped system can be found through scalar addition of the damper and spring forces

• True

• False

A damper is added to a simple forced spring-mass system.

Select ALL that are true

• The natural frequency would change

• Amplitude of response decreases

• Transmissibility decreases

• Static deflection decreases

If a damper is added to a previously undamped base excitation system, the transmissibility at an operating speed of

 $\frac{\omega}{p}=2$  

• Increases

• Decreases

• Stays the same

• Insufficient information

Transient vibrations are always greater in amplitude than steady-state vibrations

• True

• False

The transient response to a non-periodic load (i.e. a step load) will have no impact on the steady-state response in a system.

• True

• False

Initial conditions can be ignored if there is an impulse or step load present

• True

• False