Vibrations Flashcards

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1
Q

spring constant equation

A

F = -kx

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2
Q

Equation of motion (undamped) FREE vibration

A

= mx(..) + kx = 0

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3
Q

SHM equation

A

a = -w(^2)x

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4
Q

natural frequency equation

A

w = 2pif

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5
Q

Equation of motion (damped) FREE vibration

A

= mx(..) + cx(.) + kx = 0

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6
Q

damping ratio

A

z = C/Cc

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7
Q

z for overdamped

A

z > 1

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8
Q

z for underdamped

A

z < 1

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9
Q

z for critically damped

A

z = 1

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10
Q

Equation of motion (damped) FORCED vibration

A

mx(..) + cx(.) + kx = Fosin(wt)

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11
Q

for torsional movement

A
k = kang 
m = Imass
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