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. 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
WANG Guo-yan;DAI Min. EQUIVALENT LINEARIZATION METHOD BASED ON ENERGY-TO-cTH-POWER DIFFERENCE CRITERION IN NON- LINEAR STOCHASTIC VIBRATION ANALYSIS OF MULTI-DEGREE-OF-FREEDOM SYSTEMS. Applied Mathematics and Mechanics (English Edition), 2001, 22(8): 947-955.
[1] WANG Guo-yan, ZHANG Xiang-ting. Equivalent linearization technique based on energy-to-cthpower for nonlinear stochastic vibration [J]. Journal of Vibration and Shock, 1998,17 (3): 6-9.(in Chinese) [2] Iwan W D, Yang I M. Application of statistical linearization techniques to nonlinear multi-degree-of-freedom system [J]. Journal of Applied Mechanics, Transactions of the ASME, 1972,39 (2): 545-550. [3] Atalik T S, Utku S. Stochastic linearization of multi-degree-of-freedom nonlinear systems [J].Earthquake Engineering and Structural Dynamics, 1976,4(4):411-420. [4] Socha L, Soong T T. Linearization in analysis of nonlinear stochastic systems [J]. Applied Mechanics Review, 1991,44(10):399-422. [5] Caughey T K. Equivalent linearization techniques [J]. The Journal of the Acoustical Society of America, 1963,35(11): 1706-1711. [6] Caughey T K. Derivation and application of the Kokker-Planck-equation to discrete nonlinear dynamic systems subjected to white random excitation [J]. The Journal of the Acoustical Society of America, 1963,35(11): 1683-1692. [7] ZHANG Xiang-ting. Development of study on the theory of nonlinear stochastic vibration and its application in engineering [A]. In: HUANG Wen-hu Ed. Newest Development of General Mechanics (Dynamics, Vibration and Control [C]. Beijing: Scienice Press, 1994, 132-139. (in Chinese)