Response of parametrically excited one degree of freedom system with non-linear damping and stiffness
作者： M M Kamel , Y A Amer
DOI: 10.1238/PHYSICA.REGULAR.066A00410
关键词: Frequency response 、 Classical mechanics 、 Stiffness 、 Third order 、 Excited state 、 Physics 、 Perturbation (astronomy) 、 Mathematical analysis 、 Nonlinear system 、 Quadratic equation 、 Cantilever
摘要: The behavior of one-degree-of-freedom system with different quadratic damping and cubic stiffness non-linearities simulating the axial vibration a cantilever beam under multi-parametric excitation forces is studied. approximate solution given up to including third order approximation determined applying multiple time scale perturbation technique. steady state its stability are investigated. theoretical resonance conditions confirmed numerical techniques. studied using phase-plane method. Effects parameters on jump phenomenon frequency response curves also A comparison other similar published works reported.
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