Glossary_1 - 2 1 2 1 r r r r z z +-+ BASE EXCITATION Force...

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A.K. Slone EG-260 Dynamics (1) ©a.k.slone 2007 1 of 3 EG-260 DYNAMICS I – Glossary Symbol Equation Description Units k stiffness coefficient N/m m mass kg c damping coefficient kg/s c cr mk m c n cr 2 2 = = w critical damping coefficient kg/s e eccentricity m z cr c c damping ratio f n p w 2 1 n T = natural frequency Hz T n w p 2 period of oscillation s w n m k natural angular frequency rad/s w d 2 1 z w w - = n d damped angular frequency rad/s w angular frequency rad/s r n r w w = frequency ratio
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A.K. Slone EG-260 Dynamics (1) ©a.k.slone 2007 2 of 3 M f ( 29 ( 29 2 2 2 2 1 1 r r z + - magnification factor M f X X ( 29 ( 29 2 2 2 2 0 2 1 r r f X n z w + - = or ( 29 ( 29 2 2 2 0 2 1 r r K F X z + - = HARMONICALLY EXCITED Steady State Amplitude T d ( 29 ( 29 ( 29 2 2 2 2 2 1 2 1 r r r Y X z z + - + = BASE EXCITATION Displacement Transmissibility kY F T ( 29 ( 29 ( 29 2 2 2 2 2
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Unformatted text preview: 2 1 2 1 r r r r z z +-+ BASE EXCITATION Force Transmissibility X ( 29 2 2 2 2 2 1 r ) r ( r m e m o z +-ROTATING UNBALANCE Steady State Amplitude w n ( 29 2 = +-K M w det Natural frequencies A i ( 29 2 = +-i A K M w Mode shapes A.K. Slone EG-260 Dynamics (1) ©a.k.slone 2007 3 of 3 Lagrange’s Equation (I) ( 29 n ,....... , i Q q U q T q T dt d n i i i i 2 1 = = ∂ ∂ + ∂ ∂- ∂ ∂ & U Potential Energy T Kinetic Energy L= T - U Lagrange operator Lagrange’s Equation (II) n ........ , i Q q L q L dt d i i i 2 1 = = ∂ ∂- ∂ ∂ &...
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This note was uploaded on 05/18/2010 for the course ENGINEERIN EG 260 taught by Professor Stone during the Spring '10 term at Swansea UK.

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Glossary_1 - 2 1 2 1 r r r r z z +-+ BASE EXCITATION Force...

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