A Study of Subharmonic Response in Nonlinear System Models.
STANFORD UNIV CALIF STANFORD ELECTRONICS LABS
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The report investigates the system model Gu, u dot, . . ., u sup n, t Ft, where Ft is a periodic excitation. Using an approximate solution of the form ut Summation, R0 to UH U sub cR cos R omega sub o t U sub s R sin R omega sub o t, analytical theorems and computer results are obtained that yield information into the nature of the existence and non-existence of subharmonic components in the response. By assuming Gu, u dot, . . . , u sup n, t to be a polynomial, theorems are developed that determine the conditions for the possible existence and non-existence of subharmonic response. Author
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