Mechanical Vibration - 1DOF

Question 1

what do these parameters mean…m, k and z

Answer 1

mass, stiffness and damping

Question 2

Equation for frequency (T^-1Hz)

Answer 2

1/T

Question 3

What is vibration?

Answer 3

is the repetitive motion of objects relative to a stationary frame of reference or nominal position

Question 4

what does free imply in regards to vibration?

Answer 4

The lack of external input

Question 5

For vibration to occur, a system must have?

Answer 5

A means to store potential energy (PE) and a means to store kinetic energy (KE)

Question 6

Vibration is an interplay between what?

Answer 6

Kinetic and potential energy

Question 7

To derive equation of motion for a vibrating system we can use which two methods?

Answer 7

Equilibrium of forces and principle of conservation of energy

Question 8

How do gravitational forces come into play with equilibrium of forces?

Answer 8

This is due to the fact gravitational force will cause the spring to deflect to a static equilibrium postion

Question 9

Static equilibrium occurs when? (also draw the equation for this)

Answer 9

The upward force of the spring exactly balances the downward gravitational force acting on the mass. kS_st = mg