Explore BrainMass
Share

Matrix equation of motion

This content was STOLEN from BrainMass.com - View the original, and get the already-completed solution here!

1) For the two degree of freedom structure shown:

i) what is the matrix equation of motion?. Assume that m1 and m2 oscillate harmonically with the same frequency but with different amplitudes X1 and X2 of x1(t) and x2(t).
ii) what are the values of the amplitude ratios r1 and r2
if m1 = m2 = m, k1 = k, and k2 =3k?

See attached file for full problem description.

© BrainMass Inc. brainmass.com October 16, 2018, 7:13 pm ad1c9bdddf
https://brainmass.com/engineering/mechanical-engineering/matrix-equation-of-motion-109261

Attachments

Solution Summary

Using a provided degree of freedom structure, the solution explains what the matrix equation of motion is and what the value of the amplitude rations r1 and r2 are.

$2.19
Similar Posting

The motion of two masses and three springs

I need some assistance for a 3 spring problem: horizontal configuration, frictionless surface. Spring constant is k for all three springs and mass = m for both weights ie configuration is:

wall| spring - weigh t- spring - weight - spring |wall.

Meed solution using eigenvalues and Lagrangian to obtain equations of motions.

View Full Posting Details