Equivalent Viscous Damping

Equivalent Viscous Damping - CE 573: Structural Dynamics...

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CE 573: Structural Dynamics Equivalent Viscous Damping Energy Dissipation in General () DD D cycle cycle cycle du E Fd u Ft d t E Ftu t d t dt =⋅ = ⋅⇒ = ∫∫ G G ± Energy Dissipation for Viscous Damping cos ( ) d F tc x X t ω == ± 2 0 2 2 2 0 cos D equiv D Ft c u t c U t E cut utd t cU t d t c U πϖ ϖ ϖϖ π ⇒= ± ±± Energy Dissipation for Real System 2 2 area inside one hysteresis loop , or . D D De q E E Ec Uc c U =
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Restoring (or Resisting) Force 0 0 () But, over one cycle, 0 0. D DD cycle cycle cycle final init cycle Ft F t kut E Fd u F t utd t k u d u uu kudu kudu =+ ⇒= ⋅= + == = ∫∫
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This note was uploaded on 05/09/2008 for the course CE 573 taught by Professor Whalen during the Fall '05 term at Purdue University.

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Equivalent Viscous Damping - CE 573: Structural Dynamics...

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