Abstract
This is a continuation of [1]. In [1] we suggested a method of direct perturbation of partial differential equation and weighted integration to calculate the periodic solution for continuum mechanics. In this paper, by using the above method we calculate the resonant and nonresonant periodic solutions of beam with fixed span and different boundary conditions and the resonant periodic solution of square plate under the action of concentrated periodic load. Besides, the influences of nonprincipal mode upon periodic solution and of static load upon amplitudefrequency curve are given.
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References
Huo Lin-chun and Li Li, Extension of Poincaré's nonlinear oscillation theory to continuum mechanics (I)—Basic theory and method,Appl. Math. and Mech.,8, 1 (1987).
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Li, L., Lin-chun, H. Extension of poincaré's nonlinear oscillation theory to continuum mechanics (II)—Applications. Appl Math Mech 8, 309–323 (1987). https://doi.org/10.1007/BF02015252
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DOI: https://doi.org/10.1007/BF02015252