Nonlinear dynamics of heterogeneous shells. Part 2. Chaotic dynamics of variable thickness shells

Krysko A. V; Awrejcewicz J.; Mitskevich S. A.; Zhigalov M. V; Krysko V. A.

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Nonlinear dynamics of heterogeneous shells. Part 2. Chaotic dynamics of variable thickness shells

机译：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

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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.

机译：在该物品的第二部分中，分析了非全源性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Kirchhoff-Love运动假设。通过RITZ方法将所得部分微分方程的所得系统减少到代数方程系统。研究了所施加的数值方法的收敛性。还开发了使用振动制度动态图表的混沌振动控制可变厚度壳。

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来源
《International journal of non-linear mechanics》 |2021年第3期|103660.1-103660.12|共12页
作者
Krysko A. V; Awrejcewicz J.; Mitskevich S. A.; Zhigalov M. V; Krysko V. A.;
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作者单位

Saratov State Tech Univ Dept Appl Math & Syst Anal 77 Politehnicheskaya Str Saratov 410054 Russia;

Lodz Univ Technol Dept Automat Biomech & Mechatron 1-15 Stefanowski St PL-90924 Lodz Poland;

Saratov State Tech Univ Dept Appl Math & Syst Anal 77 Politehnicheskaya Str Saratov 410054 Russia;

Saratov State Tech Univ Dept Math & Modelling Politehnicheskaya 77 Saratov 410054 Russia;

Saratov State Tech Univ Dept Math & Modeling 77 Politehnicheskaya Str Saratov 410054 Russia;

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正文语种 eng
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关键词
Variable shell thickness; Chaos; Kirchhoff-Love model; Ritz method;

机译：可变壳厚度;混乱;Kirchhoff-Love模型;RITZ方法;

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专利

1. Nonlinear dynamics of heterogeneous shells Part 1. Statics and dynamics of heterogeneous variable stiffness shells [J] . Awrejcewicz J., Krysko A. V, Mitskevich S. A., International journal of non-linear mechanics . 2021,第Apra期

机译：异构壳的非线性动力学部分1.异构变刚度壳的静态和动力学
2. DYNAMICS OF GEOMETRICALLY NONLINEAR ELASTIC NONTHIN ANISOTROPIC SHELLS OF VARIABLE THICKNESS [J] . M. V. Marchuk, R. I. Tuchapskii International Applied Mechanics . 2017,第6期

机译：厚度变化的几何非线性弹性非薄各向异性壳的动力学
3. The nonlinear, third-order thickness and shear deformation theory for statics and dynamics of laminated composite shells [J] . Amabili Marco, Reddy J. N. Composite Structures . 2020,第Jula期

机译：用于层压复合壳的静态和动力学的非线性，三阶厚度和剪切变形理论
4. Investigation of nonlinear dissipative chaotic dynamics of plates and shells [C] . V. A. Krysko, M. Zhigalov, V. Soldatov, Conference on Shell Structures: Theory and Applications . 2010

机译：板材和壳体非线性耗散混沌动力学的研究
5. Dynamic variational asymptotic procedure for laminated composite shells. [D] . Lee, Chang-Yong. 2007

机译：层压复合材料壳的动态变分渐近程序。
6. Acid-soluble pigments of molluscan shells. 2. Pigments other than porphyrins [O] . A. Comfort 1949

机译：软体动物壳的酸溶性颜料。 2.卟啉以外的色素
7. Dynamical behaviors, control and synchronization of a new chaotic model with complex variables and cubic nonlinear terms [O] . Emad E. Mahmoud, Madeha A. Al-Adwani 2017

机译：具有复变量和三次非线性项的新混沌模型的动力学行为，控制和同步
8. Fission-Fusion Adaptivity in Finite Elements for Nonlinear Dynamics of Shells. [R] . Belytschko, T. 1990

机译：壳体非线性动力学有限元中的裂变 - 融合适应性。

Nonlinear dynamics of heterogeneous shells. Part 2. Chaotic dynamics of variable thickness shells

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