Nonlinear Dynamical Behavior of Shallow Cylindrical Reticulated Shells

WANG Xin-zhi; LIANG Cong-xing; HAN Ming-jun; YEH Kai-yuan; WANG Gang

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Article Navigation > Applied Mathematics and Mechanics > 2007 > 28(2): 135-140

WANG Xin-zhi, LIANG Cong-xing, HAN Ming-jun, YEH Kai-yuan, WANG Gang. Nonlinear Dynamical Behavior of Shallow Cylindrical Reticulated Shells[J]. Applied Mathematics and Mechanics, 2007, 28(2): 135-140.

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Nonlinear Dynamical Behavior of Shallow Cylindrical Reticulated Shells

1.
School of Science, Lanzhou University of Technology, Lanzhou 730050, P. R. China;

Received Date: 2006-05-25
Rev Recd Date: 2006-09-18
Publish Date: 2007-02-15

Abstract

Abstract

By using the method of quasi-shells,the nonlinear dynamic equations of three-dimensional single-layer shallow cylindrical reticulated shells with equilateral triangle cell were founded.By using the method of the separating variable function,the transverse displacement of the shallow cylindrical reticulated shells were given under the conditions of two edges simple support.The tensile force was solving from the compatible equations,a nonlinear dynamic differential equation containing the second and third order is derived by using the method of Galerkin.The stability near the equilibrium point was discussed by solving the Floquet exponent and the critical condition is obtained by using Melnikov function.Existence of the chaotic motion of the single-layer shallow cylindrical reticulated shell is approved by using the digital simulation method and Poincar mapped.
- reticulated shells,
- method of quasi-shells,
- chaotic motion,
- critical condition

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References(12)

References

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