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Nonlinear dynamics of heterogeneous shells. Part 2. Chaotic dynamics of variable thickness shells
International Journal of Non-Linear Mechanics ( IF 2.8 ) Pub Date : 2020-12-08 , DOI: 10.1016/j.ijnonlinmec.2020.103660
A.V. Krysko , J. Awrejcewicz , S.A. Mitskevich , M.V. Zhigalov , V.A. Krysko

In the second part of the article, the nonlinear dynamics and stability of nonhomogeneous variable thickness axisymmetric shells are analyzed. The mathematical model is based on the Kirchhoff–Love kinematic hypothesis. The resulting system of partial differential equations is reduced to an algebraic equations system by the Ritz method. The convergence of the applied numerical methods is investigated. The chaotic vibrations’ control of variable thickness shells using dynamic charts of vibration regimes is also developed.



中文翻译:

异构壳的非线性动力学。第2部分。可变厚度壳的混沌动力学

在文章的第二部分,分析了非均匀可变厚度轴对称壳的非线性动力学和稳定性。数学模型基于基尔霍夫-洛夫运动学假设。通过Ritz方法将所得的偏微分方程组简化为代数方程组。研究了所应用数值方法的收敛性。还开发了利用振动状态的动态图表来控制厚度可变的壳体的混沌振动。

更新日期:2020-12-12
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