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Sunday, July 19, 2020

2 Degree of Freedom System Vibration




Transfer Function at m1 (assuming no Force at m2)

v1F1=(m2s3+(k2+k)s)m2m1s4+(m2(k+k1)+m1(k+k2))s2+(k2k1+kk1+k2k)

Poles

s=±[±[(km2+km1+k2m1+k1m2)24m2m1(kk2+kk1+k2k1)(m2m1)]km2km1k2m2k1m1]2

Transfer Function at m2 (assuming no Force at m1)


v2F2=(m1s3+(k1+k)s)m1m2s4+(m1(k+k2)+m2(k+k1))s2+(k1k2+kk2+k1k)

Poles

s=±[±[(km1+km2+k1m2+k2m1)24m1m2(kk1+kk2+k1k2)(m1m2)]km1km2k1m1k2m2]2


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