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《Journal of Ningxia University(Natural Science Edition)》 2011-01
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The Nonlinear Axisymmetric Free Vibration of A Heated Circular Plates on Elastic Foundation

Zhao Weidong,Yang Yaping,Li Xiulian (School of Civil Engineering,Qinghai University,Xining 810016,China)  
Based on von Karman's plate theroy and Hamilton's principal,the ordinary differential control equations of the nonlinear axisymmetric free vibration of a heated circular plates on elastic foundation are obtained by using method of "assumed-time-mode".Considering immovable simply supported boundary conditions,the numerical results of the first to third vibration modes under the first buckling mode are obtained by employing the shooting method.The results show that the critical temperature of thermal buckling will increase with the increase of the foundation' s elastic coefficient value.The effects of vibration modes on the first buckling configuration and foundation's elastic coefficient value on vibration modes are negligible in the small amplitude.
【Fund】: 青海大学中青年科研基金资助项目(2009-QG-13)
【CateGory Index】: TU435
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1 LI Shi-rong , YU Wen-shan (School of Science, Lanzhou University of Technology, Lanzhou, Gansu 730050, China);THERMAL POST-BUCKLING AND THE CRITICAL BUCKLING MODE TRANSITION OF HEATED ELASTIC CIRCULAR PLATES ON ELSSTIC FOUNDATION[J];Engineering Mechanics;2007-05
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【Secondary Citations】
Chinese Journal Full-text Database 2 Hits
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