Free linear vibrations of thin axisymmetric parabolic shells

M. V. Chernobryvko; K. V. Avramov; V. N. Romanenko; T. J. Batutina; A. M. Tonkonogenko

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Free linear vibrations of thin axisymmetric parabolic shells

机译：轴对称抛物线形薄壳的自由线性振动

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摘要

The Rayleigh-Ritz method is used to minimize the energy functional in order to calculate eigenfrequencies of parabolic shells. The properties of eigenfrequencies and eigenmodes of different heights parabolic shells are analyzed numerically.

机译：Rayleigh-Ritz方法用于最小化能量函数，以便计算抛物线壳的本征频率。数值分析了不同高度抛物线壳的本征频率和本征模的性质。

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《Meccanica: Journal of the Italian Association of Theoretical and Applied Mechanics》 |2014年第12期|共7页
作者
M. V. Chernobryvko; K. V. Avramov; V. N. Romanenko; T. J. Batutina; A. M. Tonkonogenko;
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原文格式 PDF
正文语种 eng
中图分类力学;
关键词
Free vibrations; Conjugate modes; Rayleigh-Ritz method; Energy functional;

机译：自由振动;共轭模态;瑞利-里兹法;能量泛函;

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专利

1. Free linear vibrations of thin axisymmetric parabolic shells [J] . M. V. Chernobryvko, K. V. Avramov, V. N. Romanenko, Meccanica: Journal of the Italian Association of Theoretical and Applied Mechanics . 2014,第12期

机译：轴对称抛物线形薄壳的自由线性振动
2. Non-linear vibrations of free-edge thin spherical shells: Experiments on a 1:1:2 internal resonance [J] . O. Thomas, C. Touzé Nonlinear Dynamics . 2007,第1a2期

机译：自由边缘薄球壳的非线性振动：1：1：2内部共振的实验
3. Non-linear vibrations of free-edge thin spherical shells: Experiments on a 1:1:2 internal resonance [J] . O. Thomas, C. Touzé, é. Luminais Nonlinear dynamics . 2007,第1a2期

机译：自由边缘薄球壳的非线性振动：1：1：2内部共振的实验
4. A Semi-analytical Study of Geometrically Nonlinear Free Axisymmetric Vibrations of Thin Circular Functionally Graded Plates using Iterative and Explicit Analytical Solution [C] . El Kaak Rachid, El Bikri Khalid, Benamar Rhali International Conference on Mechanics and Control Engineering . 2015

机译：使用迭代和明确分析解决方法对薄圆形功能梯度板几何非线性轴对称振动的半分析研究
5. Linear and non-linear free vibration analysis of plates and shallow shells [D] . Kang, Lan 1998

机译：板和薄壳的线性和非线性自由振动分析
6. Wave Based Method for Free Vibration Analysis of Cross-Ply Composite Laminated Shallow Shells with General Boundary Conditions [O] . Dongyan Shi, Dongze He, Qingshan Wang, 2019

机译：基于波的边界条件下复合材料层合薄壳自由振动分析
7. Free Vibrations of Axisymmetric Shells: Parabolic and Elliptic cases [O] . Chaussade-Beaudouin, Marie, Dauge, Monique, Faou, Erwan, 2017

机译：轴对称壳体的自由振动：抛物线和椭圆形情况

Free linear vibrations of thin axisymmetric parabolic shells

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