Nonlinear dynamic response for functionally graded shallow spherical shell under low velocity impact in thermal environment |
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Authors: | YQ Mao YM Fu CP Chen YL Li |
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Institution: | 1. State Key Lab. of Advanced Technology of Design and Manufacturing for Vehicle Body, Hunan University, Changsha, Hunan 410082, China;2. College of Mechanical and Vehicle Engineering, Hunan University, Changsha, Hunan 410082, China;3. Department of Civil and Architecture Engineering, Xiamen University of Technology, Xiamen, Fujian 361024, China |
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Abstract: | Based on Giannakopoulos’s 2-D functionally graded material (FGM) contact model, a modified contact model is put forward to deal with impact problem of the functionally graded shallow spherical shell in thermal environment. The FGM shallow spherical shell, having temperature dependent material property, is subjected to a temperature field uniform over the shell surface but varying along the thickness direction due to steady-state heat conduction. The displacement field and geometrical relations of the FGM shallow spherical shell are established on the basis of Timoshenko–Midlin theory. And the nonlinear motion equations of the FGM shallow spherical shell under low velocity impact in thermal environment are founded in terms of displacement variable functions. Using the orthogonal collocation point method and the Newmark method to discretize the unknown variable functions in space and in time domain, the whole problem is solved by the iterative method. In numerical examples, the contact force and nonlinear dynamic response of the FGM shallow spherical shell under low velocity impact are investigated and effects of temperature field, material and geometrical parameters on contact force and dynamic response of the FGM shallow spherical shell are discussed. |
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Keywords: | Functionally graded material Shallow spherical shell Low velocity impact Nonlinear dynamic response Thermal environment |
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