An efficient and robust integration technique for applied random vibration analysis

Computers and Structures

Volumn 66, Issue 6, 1998, Pages 785-798

  Chen, Mu Tsang ^a   Ali, Ashraf ^a  

^a ANSYS INC   (United States)

Author keywords

ANSYS; Closed form solutions; Finite element analysis; Power spectral density; Random vibration analysis; Spectral moments

Indexed keywords

COMPUTER SIMULATION; CORRELATION METHODS; FINITE ELEMENT METHOD; FUNCTIONS; INTEGRATION; POLYNOMIALS; VIBRATIONS (MECHANICAL);

CLOSED FORMED SOLUTIONS; POWER SPECTRAL DENSITY; RANDOM VIBRATION ANALYSIS; SOFTWARE PACKAGE ANSYS; SPECTRAL MOMENTS;

COMPUTER AIDED ANALYSIS;

EID: 0032020982     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7949(98)00011-X     Document Type: Article

References (15)

1. Nigam, N. C., Applications of Random Vibrations. Springer-Verlag, New York, 1994.
2. Soong, T. T. and Grigoriu, M., Random Vibration of Mechanical and Structural Systems. PTR Prentice Hall, New Jersey, 1993.
3. NewLand, D. E., An Introduction to Random Vibrations and Spectral Analysis, 2nd edn. John Wiley and Sons, New York, 1984.
4. Kliemann, W. and Namachchivaya, N. S. (eds.), Nonlinear Dynamics and Stochastic Mechanics. CRC Press, Boca Raton, FL, 1995.
5. Chen, M. -T., Response of an earth dam to spatially varying earthquake ground motion. Ph.D. Dissertation, Michigan State University, East Lansing, MI, 1995.
6. Harichandran, R. S. and Wang, W., Response of indeterminate two-span beam to spatially varying seismic excitation. Earthquake Engineering and Structural Dynamics, 1990, 173-187.
7. Crandall, S. H. and Mark, W. D., Random Vibration in Mechanical Systems. Academic Press, New York, 1963.
8. Pulgrano, L. J. and Ablowitz, M. The response of mechanical systems to bands of random excitation. The Shock and Vibration Bulletin, 1969, 39, 73-86.
9. Der Kiureghian, A. Structural response to stationary excitation. J. Eng. Mech. ASCE, 1980, 106(EM6), 1195-1213.
10. Spanos, P.-T. D. An approach to calculating random vibration integrals. J. Appl. Mech. ASME, 1987, 54(2), 409-413.
11. Harichandran, R. S. Random vibration under propagating excitation: closed-form solutions. Journal of Engineering Mechanics, ASCE, 1992, 118(3), 575-586.
12. Gradshtein, I. S. and Ryzhik, I. M., Table of Integrals, Series and Products. Academic Press, New York, 1980.
13. Nigam, N. C., Introduction to Random Vibrations. The MIT Press, Massachusetts, 1983.
14. Piessens, R., de Doncker-Kapenga, E., Uberhuber, C. W. and Kahaner and D. K., Quadpack, A Subroutine Package for Automatic Integration. Springer-Verlag, 1983.
15. Clough, R. W. and Penzien, J., Dynamics of Structure. McGraw-Hill, New York, 1975.