Laplace Transforms: Coupled Springs: Difference between revisions

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(New page: '''Part 1: Laplace Transform''' '''Problem Statement:''' (Equations typed out in mathcad and uploaded as images) This is a system of two masses connected by two springs with spring cons...)
 
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'''Jaymin Joseph'''

'''Part 1: Laplace Transform'''
'''Part 1: Laplace Transform'''



Revision as of 14:36, 10 December 2009

Jaymin Joseph

Part 1: Laplace Transform

Problem Statement: (Equations typed out in mathcad and uploaded as images)

This is a system of two masses connected by two springs with spring constants k1 and k2. This system is shown below. Fbd.JPG

From the FBD, the equations of motion can be determined to be as follows:

2.jpg

To solve the system let K1=6 k2=4, m1=1, m2=1 and x1(0)=0, x1'(0)=1 x2(0)=0, x2'(0)=-2

3.jpg

4.jpg


Part 2: Inverse Laplace Transform