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Applied Mathematics and Mechanics (English Edition) ›› 2001, Vol. 22 ›› Issue (8): 947-955.

• 论文 • 上一篇    下一篇

EQUIVALENT LINEARIZATION METHOD BASED ON ENERGY-TO-cTH-POWER DIFFERENCE CRITERION IN NON- LINEAR STOCHASTIC VIBRATION ANALYSIS OF MULTI-DEGREE-OF-FREEDOM SYSTEMS

王国砚1, 戴民2   

  1. 1. Key Laboratory of Solid Mechanics of MOE, Department of Engineering Mechanics and Technology, Tongji University, Shanghai 200092, P. R. China;
    2. Institute of Mathematics and Department of Financial Mathematics, School of Mathematical Sciences, Peking University, Beijing 100871, P. R. China
  • 收稿日期:1999-11-23 修回日期:2001-04-02 出版日期:2001-08-18 发布日期:2001-08-18

EQUIVALENT LINEARIZATION METHOD BASED ON ENERGY-TO-cTH-POWER DIFFERENCE CRITERION IN NON- LINEAR STOCHASTIC VIBRATION ANALYSIS OF MULTI-DEGREE-OF-FREEDOM SYSTEMS

WANG Guo-yan1, DAI Min2   

  1. 1. Key Laboratory of Solid Mechanics of MOE, Department of Engineering Mechanics and Technology, Tongji University, Shanghai 200092, P. R. China;
    2. Institute of Mathematics and Department of Financial Mathematics, School of Mathematical Sciences, Peking University, Beijing 100871, P. R. China
  • Received:1999-11-23 Revised:2001-04-02 Online:2001-08-18 Published:2001-08-18

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摘要： Basic equations of energy-to-cth-power difference criterion were derived for multi-degree-of-freedom(MDOF) systems subjected to stationary Gaussian excitations with non-zero mean. Modal transform technique was used in order to reduce unknowns. Main computational formulae were presented and suggested values of c were given. Numerical results show that the method of this paper prevails over equation difference criterion both in accuracy and in simplicity.

Abstract: Basic equations of energy-to-cth-power difference criterion were derived for multi-degree-of-freedom(MDOF) systems subjected to stationary Gaussian excitations with non-zero mean. Modal transform technique was used in order to reduce unknowns. Main computational formulae were presented and suggested values of c were given. Numerical results show that the method of this paper prevails over equation difference criterion both in accuracy and in simplicity.

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