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Response of SDOF systems to periodic excitation

Response of SDOF systems to periodic excitation. Periodic function: repeats itself every period T P(t+T)=p(t) for any t. T. Finding steady state response of a SDOF system to a periodic excitation. Decompose excitation into series of harmonic functions Find response to each harmonic function

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Response of SDOF systems to periodic excitation

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  1. Response of SDOF systems to periodic excitation • Periodic function: repeats itself every period T • P(t+T)=p(t) for any t T

  2. Finding steady state response of a SDOF system to a periodic excitation • Decompose excitation into series of harmonic functions • Find response to each harmonic function • Superimpose responses

  3. Finding steady state response of a SDOF system to a periodic excitation (continued)

  4. Finding steady state response of a SDOF system to a periodic excitation (continued) • Find steady state response to each component of the series • Superimpose response to find total response

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