The internal external resonance response of a beam on a finite length elastic foundation under moving loads is studied. A finite length EulerBernoulli beam model supported on a nonlinear viscoelastic foundation excited by a moving concentrated force is established, and the nonlinear partial differential equation is discretized. When the thirdorder natural frequency and the firstorder natural frequency are three times related, the solvability condition for 3:1 internal resonance is derived by using a multiscale method. The effects of foundation damping and nonlinear stiffness on the free vibration response and forced vibration response of a beam under internal resonance conditions with or without moving loads are studied. On this basis, the stability conditions of the system are determined by using the first Lyapunov method.
严巧赟.移动荷载作用下非线性基础梁内共振分析[J].动力学与控制学报,2023,21(9):41~49; Yan Qiaoyun. Internal Resonance Analysis of Nonlinear Foundation Beams under Moving Loads[J]. Journal of Dynamics and Control,2023,21(9):41-49.复制