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Inner resonance of a coupled hyperbolic tangent nonlinear oscillator arising in a packaging system. (English) Zbl 1320.70018

Summary: In this paper, a dynamic model of a coupled hyperbolic tangent nonlinear oscillator arising in a packaging system is proposed. Conditions for resonance are obtained by applying the variational iteration method-II (VIM-II), which should be avoided in the cushioning packaging design. Moreover, the comparison between the VIM-II and numerical solutions indicates an excellent agreement.

MSC:

70K30 Nonlinear resonances for nonlinear problems in mechanics
70G45 Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics
70-08 Computational methods for problems pertaining to mechanics of particles and systems
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