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Analysis of nonlinear vibration for symmetric angle-ply laminated viscoelastic plates with damage

机译:对称斜角层合粘弹性板的非线性振动分析

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摘要

The behavior of nonlinear vibration for symmetric angle-ply laminated plates including the material viscoelasticity and damage evolution is investigated. By employing the von Karman's nonlinear theory, strain energy equivalence principle and Boltzmann superposition principle, a set of governing equations of nonlinear integro-differential type are derived. By applying the finite difference method, Newmark method and iterative procedure, the governing equations are solved. The effects of loading amplitudes, exciting frequencies and different ply orientations on the critical time to failure initiation and nonlinear vibration amplitudes of the structures are discussed. Numerical results are presented for the different parameters and compared with the available data.
机译:研究了对称角铺层板的非线性振动行为,包括材料的粘弹性和损伤演化。利用冯·卡曼的非线性理论,应变能当量原理和玻尔兹曼叠加原理,推导了一组非线性积分微分型控制方程。通过应用有限差分法,Newmark方法和迭代程序,求解了控制方程。讨论了加载振幅,激励频率和不同层定向对开始失效的关键时间以及结构的非线性振动振幅的影响。给出了不同参数的数值结果,并与可用数据进行了比较。

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