Study On Nonlinear Dynamic Behavior Of Sine Type Viscoelastic Arch
The motion equation governing the dynamical behavior of a viscoelastic arch is derived. The viscoelastic material is assumed to obey fractional derivative constitutive relation. The motion equation is simplified by Galerkin method. An effective numerical method for solving nonlinear equations with fractional operator is developed and the motion equation governing the dynamical behavior of the viscoelastic arch is solved with the method. The influences of the load parameters and the material parameters on the dynamic response of arch are considered respectively. By using some classical methods in nonlinear dynamics, such as the time history curves, power spectrum, phase diagram, Poincare section, The complex dynamic behaviors of viscoelastic arch are discriminated and revealed in this paper.
School of Civil Engineering and Architecture, Wuhan University of Technology, Wuhan 430070
Abstract：The motion equation governing the dynamical behavior of a viscoelastic arch is derived. The viscoelastic material is assumed to obey fractional derivative constitutive relation. The motion equation is simplified by Galerkin method. An effective numerical method for solving nonlinear equations with fractional operator is developed and the motion equation governing the dynamical behavior of the viscoelastic arch is solved with the method. The influences of the load parameters and the material parameters on the dynamic response of arch are considered respectively. By using some classical methods in nonlinear dynamics, such as the time history curves, power spectrum, phase diagram, Poincare section, The complex dynamic behaviors of viscoelastic arch are discriminated and revealed in this paper.
黄繁，戴绍斌，黄俊 . 正弦型黏弹性拱的非线性动力学行为研究[J]. 振动与冲击, 2015, 34(7): 174-177.
HUANG Fan DAI Shao-bin HUANG Jun. Study On Nonlinear Dynamic Behavior Of Sine Type Viscoelastic Arch. JOURNAL OF VIBRATION AND SHOCK, 2015, 34(7): 174-177.
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