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Nonlinear response of strong nonlinear system arisen in polymer cushion. (English) Zbl 1333.34080

Abstr. Appl. Anal. 2013, Article ID 891914, 3 p. (2013); comment ibid. 2013, Article ID 329638, 3 p. (2013).
Summary: A dynamic model is proposed for a polymer foam-based nonlinear cushioning system. An accurate analytical solution for the nonlinear free vibration of the system is derived by applying He’s variational iteration method, and conditions for resonance are obtained, which should be avoided in the cushioning design.

MSC:

34C60 Qualitative investigation and simulation of ordinary differential equation models
34A05 Explicit solutions, first integrals of ordinary differential equations
34A45 Theoretical approximation of solutions to ordinary differential equations
34C15 Nonlinear oscillations and coupled oscillators for ordinary differential equations
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