Nonlinear dynamical behavior of shallow cylindrical reticulated shells

By using the method of quasi-shells , the nonlinear dynamic equations of three-dimensional single-layer shallow cylindrical reticulated shells with equilateral triangle cell are founded. By using the method of the separating variable function, the transverse displacement of the shallow cylindrical r...

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Bibliographic Details
Published in:Applied mathematics and mechanics 2007-02, Vol.28 (2), p.151-156
Main Author: 王新志 梁从兴 韩明君 叶开沅 王钢
Format: Article
Language:English
Subjects:
Differential equations
Digital simulation
Displacement
Galerkin methods
Mathematical analysis
Nonlinear dynamics
Shells
Triangles
平衡点
混沌运动
相容方程
非线性弹性力学
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Summary:By using the method of quasi-shells , the nonlinear dynamic equations of three-dimensional single-layer shallow cylindrical reticulated shells with equilateral triangle cell are founded. By using the method of the separating variable function, the transverse displacement of the shallow cylindrical reticulated shells is given under the conditions of two edges simple support. The tensile force is solved out from the compatible equations, a nonlinear dynamic differential equation containing second and third order is derived by using the method of Galerkin. The stability near the equilibrium point is discussed by solving the Floquet exponent and the critical condition is obtained by using Melnikov function. The existence of the chaotic motion of the single-layer shallow cylindrical reticulated shell is approved by using the digital simulation method and Poincare mapping.
ISSN:0253-4827
1573-2754
DOI:10.1007/s10483-007-0202-x