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Response of SDOF systems to periodic excitation

Understand how Single Degree of Freedom systems respond to periodic stimuli by decomposing excitation into harmonic functions and finding total response through superimposition. Achieve steady state by analyzing each component's response meticulously.

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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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