Applied Mathematics and Mechanics (English Edition) ›› 2007, Vol. 28 ›› Issue (8): 1081-1091 .doi: https://doi.org/10.1007/s10483-007-0810-z

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Nonlinear vibration and buckling of circular sandwich plate under complex load

杜国君, 马建青   

  • 收稿日期:2006-11-20 修回日期:2007-04-23 出版日期:2007-08-18 发布日期:2007-08-18
  • 通讯作者: 杜国君

Nonlinear vibration and buckling of circular sandwich plate under complex load

DU Guo-jun, MA Jian-qing   

  1. College of Architecture Engineering and Mechanics, Yanshan University Qinhuangdao 066004, Hebei Province, P. R. China
  • Received:2006-11-20 Revised:2007-04-23 Online:2007-08-18 Published:2007-08-18
  • Contact: DU Guo-jun

Abstract: The nonlinear vibration fundamental equation of circular sandwich plate under uniformed load and circumjacent load and the loosely clamped boundary condition were established by von Karman plate theory, and then accordingly exact solution of static load and its numerical results were given. Based on time mode hypothesis and the variational method, the control equation of the space mode was derived, and then the amplitude frequency-load character relation of circular sandwich plate was obtained by the modified iteration method. Consequently the rule of the effect of the two kinds of load on the vibration character of the circular sandwich plate was investigated. When circumjacent load makes the lowest natural frequency zero, critical load is obtained.

Key words: nonlinear vibration, buckling, complex load, amplitude frequency-load characteristic relation, circular sandwich plate

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