ISSN:
1573-269X
Keywords:
Saddle form cable-suspended roofs
;
truncated spectral model
;
bifurcation
;
chaos
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract The purpose of this paper is to investigate the dynamic behaviour of saddle form cable-suspended roofs under vertical excitation action. The governing equations of this problem are system of nonlinear partial differential and integral equations. We first establish a spectral equation, and then consider a model with one coefficient, i.e., a perturbed Duffing equation. The analytical solution is derived for the Duffing equation. Successive approximation solutions can be obtained in likely way for each time to only one new unknown function of time. Numerical results are given for our analytical solution. By using the Melnikov method, it is shown that the spectral system has chaotic solutions and subharmonic solutions under determined parametric conditions.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1008241710683
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