High efficiency computation of the variances of structural evolutionary random responses

Shock and Vibration

Volumn 7, Issue 4, 2000, Pages 209-216

  Lin, Jiahao H ^a   Zhong, W X ^a   Zhang, W S ^b   Sun, D K ^b  

^a DALIAN UNIVERSITY OF TECHNOLOGY   (China)

^b HONG KONG POLYTECHNIC UNIVERSITY   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL COMPLEXITY; INTEGRATION; LYAPUNOV METHODS; PRECISION ENGINEERING; PROBLEM SOLVING; RANDOM PROCESSES; SPURIOUS SIGNAL NOISE; STRUCTURAL ANALYSIS;

STRUCTURAL EVOLUTIONARY RANDOM NOISES;

VIBRATIONS (MECHANICAL);

EID: 0033670791     PISSN: 10709622     EISSN: None     Source Type: Journal    
DOI: 10.1155/2000/178090     Document Type: Article

References (14)

1. Bendat, J.S. and Piersol, A.G., Engineering Applications of Correlation and Spectral Analysis, John Wiley, New York, 1980.
2. Cai, S.F., Theory of Random Control, Press of Shanghai Jiao-Tong University, Shanghai, 1487.
3. Lin, J.H., Zhang W.S. and Li, J.J., Structural Responses to Arbitrarily Coherent Stationary Random Vibration, Computers & Structures 50 (1994), 629-633.
4. Lin, J.H., Zhang, W.S. and Williams, F.W., Pseudo-excitation algorithm for nonstationary random seismic responses, Engineering Structures 16 (1994), 270-276.
5. Lin, J.H., Li, J.J., Zhang, W.S. and Williams, F.W., Random Seismic Responses of Multi-support Structures in Evolutionary Inhomogeneous Random Fields, Earthquake Engineering and Structural Dynamics 26 (1997), 135-145.
6. Lin, J.H., Sun, D.K., Sun, Y. and Williams, F.W., Structural Responses to Non-uniformly Modulated Evolutionary Random Seismic Excitations, Communications in Numerical Methods in Engineering 13 (1997), 605-616.
7. Lin, J.H., Shen, W.P. and Williams, F.W., Accurate High-speed Computation of Non-stationary Random Structural Response, Engineering Structures 19 (1997), 586-593.
8. Lin, Y.K., Probabilistic Theory of Structural dynamics, Mc-Graw Hill, New York, 1967.
9. Soong, T.T. and Grigoriu, M., Random Vibration of Mechanical and Structural Systems, Prentice-Hall International, Inc., Englewoods Cliffs, New Jersey, 1993.
10. Zhong, X.N., The precise integration method for stochastic differential equation (and closed-form solution for Lyapunov differential equation). MMM-7th Conference, Proceedings of Modern Math, And Mech., Shanghai, Nov. 26-28, 1997.
11. Zhong, W.X., Computational Structural Mechanics and Optimal Control, Dalian University of Technology Press, Dalian, China, 1993.
12. Zhong, W.X. and Williams, F.W., A Precise Time Step Integration Method, Proc. Inst. Mech. Engrs 208C (1995), 427-430.
13. Zhong, W.X., A New Systematic Methodology for Theory of Elasticity, Dalian University of Technology Press, Dalian, China, 1995.
14. Zhu, W.Q., Random Vibration (in Chinese), Science Press, Beijing, 1992.