Neumann dynamic stochastic finite element method of vibration for structures with stochastic parameters to random excitation

Computers and Structures

Volumn 77, Issue 6, 2000, Pages 651-657

  Lei, Zhao ^a   Qiu, Chen ^b  

^a SW Jiaotong U   (China)

^b SOUTHWEST JIAOTONG UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; CONVERGENCE OF NUMERICAL METHODS; DYNAMIC RESPONSE; EQUATIONS OF MOTION; FINITE ELEMENT METHOD; MATHEMATICAL TRANSFORMATIONS; MONTE CARLO METHODS; PERTURBATION TECHNIQUES; RANDOM PROCESSES; TIME DOMAIN ANALYSIS; VIBRATIONS (MECHANICAL);

NEUMANN EXPANSION; QUASI STATIC EQUILIBRIUM EQUATION; RANDOM EXCITATION;

STRUCTURAL ANALYSIS;

EID: 0342954843     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7949(00)00019-5     Document Type: Article

References (22)

1. Astillc J., Nosseir S.B., Shinozuka M. Impact loading on structures with random properties. J Struct Mech. 1(1):1972;63-77.
2. Shinozuka M. Monte Carlo Solution of structural dynamics. Int J Comput Struct. 2:1972;855-874.
3. Liu W.K., Belytschko T., Mani A. Probabilistic finite element methods in nonlinear dynamics. Comput Meth Appl Mech Engng. 56(1):1986;61-81.
4. Wall F.J., Bucher C.G. Sensitivity of expected exceedance rate of SDOF-system response to statistical uncertainties of loading and system parameters. Probab Engng Mech. 2(3):1987;138-146.
5. Benaroya H., Rehak M. Finite element methods in probabilistic structural analysis: a selective review. Appl Mech Rev ASME. 41(5):1988;201-213.
6. Ghanem R., Spanos P.D. Stochastic finite elements: a spectral approach. 1991;Springer, New York.
7. Qiu C, Lei Z. Stochastic seismic response analysis of concrete frame structures with random parameters by Taylor expansion, J Southeast Univ (English Edition) Part 3, 1995;11(1A):355-60.
8. Lei Z., Qiu C. The stochastic method of weighted residuals for predicting dynamic response of random structure under stochastic excitation. Commun Numer Meth Engng. 14(5):1998;419-427.
9. Liu W.K., Besterfield G., Belytschko T. Transient probabilistic systems. Comput Meth Appl Mech Engng. 67(1):1988;27-54.
10. Hien T.D., Kleiber M. Finite element analysis based on stochastic Hamilton variational principle. Int J Comput Struct. 37(6):1990;893-902.
11. Kleiber M., Hien T.D. The stochastic finite element method: basic perturbation technique and computer implementation. 1992;Wiley, New York.
12. Lei Z. Random dynamic response analysis and seismic reliability of structures with stochastic parameters. PhD Thesis, Southwest Jiaotong University, Chengdu, China, 1996 [in Chinese].
13. Lei Z, Qiu C. A new stochastic finite element method of random dynamic response for structures with random parameters, Proc 1st Int Conf ECCS, Book 2, Hunan University Press, Changsha, China, 1995. p. 207-13.
14. Lei Z, Qiu C. Study of dynamic stochastic finite element method in structural aseismic dynamic theory. Proc 4th Int Symp Struct Engng for Young Experts, China Architecture & Building Press, Beijing, China, 1996. p. 88-93.
15. Lei Z., Qiu C. A dynamic stochastic finite element method based on dynamic constraint mode. Comput Meth Appl Mech Engng. 161(3/4):1998;245-255.
16. Sun T.C. A finite element method for random differential equations with random coefficients. SIAM J Numer Anal. 16(6):1979;1019-1053.
17. Jensen H. Iwan WD. Response variability in structural dynamics. Earthquake Engng Struct Dynam. 20(10):1991;949-959.
18. Jensen H., Iwan W.D. Response of systems with uncertain parameters to stochastic excitation. J Engng Mech ASCE. 118(5):1992;1012-1025.
19. Iwan W.D., Jensen H. On the dynamic response of continuous systems including model uncertainty. J Appl Mech ASME. 60(2):1993;484-490.
20. Jie L. The expanded order system method of combined random vibration analysis. Acta Mechanica Sinica. 28(1):1996;66-75. [in Chinese].
21. Yamazaki F., Shinozuka M., Dasgupta G. Neumann expansion for stochastic finite element analysis. J Engng Mech ASCE. 114(8):1988;1335-1354.
22. Shinozuka M., Deodatis G. Response variability of stochastic finite element systems. J Engng Mech ASCE. 114(3):1988;499-519.