Applied Mathematics and Mechanics (English Edition) ›› 2001, Vol. 22 ›› Issue (11): 1268-1272.

• 论文 • 上一篇    下一篇

INVESTIGATION OF RANDOM RESPONSE OF ROTATIONAL SHELL WHEN CONSIDERING GEOMETRIC NONLINEAR BEHAVIOUR

高世桥1, 金磊1, 刘海鹏2   

  1. 1. Academy of Mechanical and Electrical Engineering Beijing, Institute of Technology, Beijing 100081, P.R.China;
    2. Building Aerodynamics Laboratory, Ruhr-University, F.R.Germany
  • 收稿日期:2000-05-05 修回日期:2001-06-20 出版日期:2001-11-18 发布日期:2001-11-18
  • 基金资助:

    the Humboldt Foundation of Germany

INVESTIGATION OF RANDOM RESPONSE OF ROTATIONAL SHELL WHEN CONSIDERING GEOMETRIC NONLINEAR BEHAVIOUR

GAO Shi-qiao1, JIN Lei1, H.J.Niemann2   

  1. 1. Academy of Mechanical and Electrical Engineering Beijing, Institute of Technology, Beijing 100081, P.R.China;
    2. Building Aerodynamics Laboratory, Ruhr-University, F.R.Germany
  • Received:2000-05-05 Revised:2001-06-20 Online:2001-11-18 Published:2001-11-18
  • Supported by:

    the Humboldt Foundation of Germany

摘要: An iteration method of statistic linearization(IMSL) is presented. By this method, an equivalent linear term was formed in geometric relation and then an equivalent stiffness matrix for nonlinear term in vibration equation was established. Using the method to solve the statistic linear vibration equations, the effect of geometric nonlinearity on the random response of rotational shell is obtained.

Abstract: An iteration method of statistic linearization(IMSL) is presented. By this method, an equivalent linear term was formed in geometric relation and then an equivalent stiffness matrix for nonlinear term in vibration equation was established. Using the method to solve the statistic linear vibration equations, the effect of geometric nonlinearity on the random response of rotational shell is obtained.

中图分类号: 

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals