A symmetric isotropic laminate in a simply supported boundary condition is analyzed for its nonlinear dynamic response subjected to a nonuniform transient thermal field. The equation of motion of a modified Duffing type in a decoupled modal form is obtained for both orthotropic and isotropic symmetric laminate from the reduction of the governing equation of motion by using a Galerkin-type method. Thermally induced nonlinear response and thermal mechanically induced response are investigated in a multimode analysis. The influence of the transient thermal field is found to cause drastically different modal response from that due to the steady-state thermal field. Chaos is found being induced by the transient in-plane thermal field, or by both transient in-plane and transverse thermal fields. Unique bifurcation behavior is observed with different thermal frequencies. Different loading levels can cause transition between chaos and quasi-periodic oscillations.
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August 2006
Technical Papers
Chaotic Behavior of a Symmetric Laminate With Transient Thermal Field
Xiaoling He
e-mail: xiaoling@uwm.edu
Xiaoling He
University of Wisconsin
, 3200 N Cramer Street, P. O. Box 784, Milwaukee, WI 53201
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Xiaoling He
University of Wisconsin
, 3200 N Cramer Street, P. O. Box 784, Milwaukee, WI 53201e-mail: xiaoling@uwm.edu
J. Vib. Acoust. Aug 2006, 128(4): 429-438 (10 pages)
Published Online: May 27, 2005
Article history
Received:
August 3, 2004
Revised:
May 27, 2005
Citation
He, X. (May 27, 2005). "Chaotic Behavior of a Symmetric Laminate With Transient Thermal Field." ASME. J. Vib. Acoust. August 2006; 128(4): 429–438. https://doi.org/10.1115/1.2128646
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