## Transient Vibrations: Chapter 7 Examples

### Example 7-1

A mass, initially at rest, is subject to a step load as shown below. Determine the response of the system for . Use the method of convolution.

### Example 7-2

A mass, initially at rest, is subject to a ramp load as shown below. Determine the response of the system for . Use the method of convolution.

### Example 7-3

A mass, initially at rest, is subject to a rectangular step load as shown below. Using the the method of convolution, determine the response of the system for

- ,
- .

### Example 7-4

A mass, initially at rest, is subject to a forcing function shown below. Using the the method of convolution, determine the response of the system for

- ,
- .

### Example 7-5

A mass is initially moving such that at some time the mass has position and velocity . At that instant a step load is applied to the mass as shown below.

Determine the response of the system for using

- Newton’s laws directly,
- The method of convolution.