WOLFRAM|DEMONSTRATIONS PROJECT

Forced Oscillations

initial displacement

x

0

0

mass m

1

stiffness k

8

damping c

0

frequency f

1

release system

This Demonstration shows the forced oscillations of a spring mass damped system for the underdamped case. The differential equation is

m

2

d

x

d

2

t

+c

dx

dt

+kx=cos(ft)

, where

m

is the mass,

x

is the displacement,

t

is time,

c

is the damping coefficient,

k

is the stiffness, and

f

is the frequency.