Chapter
Jul 21, 2016
Investigation of the Analytic Solution of Orthotropic Beams under Thermal-Mechanical Coupling Loading
Authors: Youzhen Yang [email protected], Hu Wang [email protected], Hanlin Ma [email protected], and Xianyuan He [email protected]Author Affiliations
Publication: Geo-China 2016
Abstract
The symplectic method was applied in the orthotropic beams under the thermal mechanical coupling in the present paper. With Hamiltonian variational principle and Legendre’s transformation, Hamiltonian canonical equations are obtained, together with side boundary conditions. So the analytic solution with different boundary conditions can be converted into determination of eigensolution with separation of variables and symplectic expansion. The results showed that the present solution have better convergence and precision, which provides a basic theory for studying the plane beam under thermal-mechanical coupling.
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© 2016 American Society of Civil Engineers.
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Published online: Jul 21, 2016
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School of Physics Electrical Information Engineering, Ningxia Univ., Yinchuan750021, China. E-mail: [email protected]
School of Physics Electrical Information Engineering, Ningxia Univ., Yinchuan750021, China. E-mail: [email protected]
School of Physics Electrical Information Engineering, Ningxia Univ., Yinchuan750021, China. E-mail: [email protected]
School of Physics Electrical Information Engineering, Ningxia Univ., Yinchuan750021, China. E-mail: [email protected]
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