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摘要:
The paper investigated the nonlinear dynamics, bifurcation and chaotic dynamics of simply supported laminated piezoelectric composite beam with axial and transverse loading. The nonlinear equations of motions of the beam are first derived based on the general von Karman-type equations and the Reddy third-order shear deformation plated theory. The partial differential equations are discretized to the ordinary differential equations using the Galerkin approach. The averaged equations are obtained with the method of multiple scales. Numerical simulation is carried out to investigate the periodic and chaotic motions of the beam. The results show that the chaotic responses of the beam are sensitive to the piezoelectric excitations. Furthermore, the oscillation of the piezoelectric laminated composite beam can be controlled with the piezoelectric excitation.
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来源 :
Chinese Journal of Theoretical and Applied Mechanics
ISSN: 0459-1879
年份: 2009
期: 1
卷: 41
页码: 129-140
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