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In this study, the dynamic response and stability of two-degree-of-freedom vehicle system subjected to an external excitation force with quadratic and cubic nonlinearities simultaneous are researched, and the differential equations of motion are deduced by utilizing the mechanical constitutive relationship. The accuracy of the model and the efficiency of modified incremental harmonic balance method...
In this paper, a nonlinear supported Euler–Bernoulli beam under harmonic excitation coupled to a 2 degree of freedom vehicle model with cubic nonlinear stiffness and damping is investigated. The equations of motion are derived by Newton’s law and discretized into a set of coupled second-order nonlinear differential equations via Galerkin’s method with cubic nonlinear terms. Based on the created model,...
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