The dynamic thermal buckling of circular thin plates made of a functionally graded material is investigated by the symplectic method. Based on the Hamilton principle, canonical equations are established in the symplectic space, and the problems of axisymmetric dynamic thermal buckling of the plates are simplified. The buckling loads and modes of the plates are translated into generalized eigenvalues and eigensolutions, which can be obtained from bifurcation conditions. The effects of gradient properties, parameters of geometric shape, and dynamic thermal loads on the critical temperature increments are considered.
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Acknowledgements
This work was supported by the National Natural Science Foundation of China [grants Nos.11662008 and 11862012] and the abroad exchange funding for young backbone teachers of Lanzhou University of Technology.
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Russian translation published in Mekhanika Kompozitnykh Materialov, Vol. 55, No. 4, pp. 663-676, July-August, 2019.
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Zhang, J.H., Liu, X. & Zhao, X. Symplectic Method-Based Analysis of Axisymmetric Dynamic Thermal Buckling of Functionally Graded Circular Plates. Mech Compos Mater 55, 455–466 (2019). https://doi.org/10.1007/s11029-019-09825-w
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DOI: https://doi.org/10.1007/s11029-019-09825-w