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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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【Citations】
Chinese Journal Full-text Database 2 Hits
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
2 Li Shirong (Division of Basic Courses, Gansu Univ. of Tech., Lanzhou 730050);Large amplitude free vibrations heated elastic circular plates[J];JOURNAL OF GANSU UNIVERSITY OF TECHNOLOGY;1997-02
【Co-citations】
Chinese Journal Full-text Database 4 Hits
1 ZHAO Yong-gang, MA Lian-sheng, LI Shi-rong(School of Science, Lanzhou Univ. of Tech., Lanzhou 730050, China);Nonlinear vibration in the vicinity of post-buckling configuration of edge-clamped circular plate under excitation[J];;2005-02
2 ZHAO Wei-dong(Department of Civil Engineering,Qinghai University,Xining 810016,China);Analysis of a 4 Superharmonic Resonances of Edge-clamped Circular Plate Subjected to Transverse Excitation Load[J];Journal of Gansu Sciences;2009-02
3 Zhang Yongheng, Jin Hua, Wang Liangbi (School of Mechatronic Engineering,Lanzhou Jiaotong University,Lanzhou 730070,China);Boundary Layer Differential Equation Solution Based on Particle Swarm Optimization and Ant Colony Algorithm[J];Journal of Lanzhou Jiaotong University;2007-06
4 Li Shirong Liu Ping(School of Civil Science and Engineering,Yangzhou University,225009,Yangzhou,China);Characteristics of thermally buckling mode transition of Euler-Bernoulli beams resting on an elastic foundation[J];Chinese Journal of Applied Mechanics;2011-01
【Secondary Citations】
Chinese Journal Full-text Database 2 Hits
1 Li Shirong(Department of Basic Courses,Gansu, University of Technology,Lanzhou,730050);THERMAL POST-BUCKLING OF ELASTIC CIRCULAR PLATES[J];ACTA MECHANICA SOLIDA SINICA;1997-02
2 Yang Xiao Cheng Chang-jun (Department of Mechanics, Lanzhou University, Lanzhou);Buckling and Post-Buckling of Annular Plates on an Elastic Foundation[J];Applied Mathematics and Mechanics;1991-08
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