Computational stochastic mechanics - Recent advances

Computers and Structures

Volumn 79, Issue 22-25, 2001, Pages 2225-2234

  Schueller G I ^a  

^a UNIVERSITY OF INNSBRUCK   (Austria)

Author keywords

Computational efficiency; Computational stochastic mechanics; Monte Carlo simulation; Stochastic finite elements; Structural reliability

Indexed keywords

COMPUTATIONAL METHODS; COMPUTER SIMULATION; FINITE ELEMENT METHOD; MONTE CARLO METHODS; RANDOM PROCESSES;

STRUCTURAL MECHANICS;

STRUCTURAL ANALYSIS;

EID: 0035441628     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7949(01)00078-5     Document Type: Article

References (60)

1. Stochastic response of multistorey yielding frames
2. Robust numerical solution of the transient Fokker-Planck equation for nonlinear dynamical systems
3. Some reflections on the efficiency of moment closure methods
4. Robust numerical solution of the Fokker-Planck equation for second order dynamical systems under parametric and external white noise excitations
5. Probability integration by directional simulation
6. Generation of non-Gaussian stationary processes
7. The orthogonal development of nonlinear functionals in series of Fourier-Hermite functionals
8. Seismic response analysis of nonlinear structures
9. Computational stochastic mechanics - A state-of-the-art report [special issue]
10. Computational stochastic mechanics
11. Simulation of seismic ground motion using stochastic waves
12. Weighted integral method. I. Stochastic stiffness matrix
13. Weighted integral method. II. Response variability and reliability
14. General multi-dimensional probability integration by directional simulation
15. A computational procedure for the implementation of equivalent linearization in finite element analysis
16. Numerical solution of spectral stochastic finite element systems
17. Linear systems with polynomials of filtered Poisson processes
18. Development of a nonlinear stochastic FEM and its application
19. The role of stochastic finite element method in structural safety and reliability
20. A cell mapping method for non-linear deterministic and stochastic systems - Part I. The method of analysis
21. A cell mapping method for non-linear deterministic and stochastic systems - Part II. Examples of application
22. Simulation of conditional random fields - A basis for regional seismic monitoring for urban earthquake hazards mitigation
23. An interpolating stochastic process for simulation of conditional random fields
24. Conditioned stochastic processes for conditional random fields
25. Structural reliability estimation by adaptive importance sampling
26. Probabilistic finite elements for nonlinear structural dynamics
27. Linear systems excited by polynomial forms of non-Gaussian filtered Poisson processes
28. Response statistics of nonlinear dynamic systems by path integration
29. Response statistics of nonlinear, compliant offshore structures by the path integral solution method
30. On engineering tools for numerical evaluation of structural scatter and reliability
31. Assessment of low probability events of dynamical systems by controlled Monte Carlo simulation
32. Stochastic response evaluation of large FE-models with non-linear hysteretic elements by complex mode synthesis
33. Mathematical analysis of random noise
34. On the random eigenvalue problem for large FE-models
35. On the stochastic response of non-linear FE-models
36. A critical appraisal of methods to determine failure probabilities
37. Parallel implementation of MCS - Synthesis of seismic ground motion using a stochastic barrier model. Computational stochastic mechanics [special issue]
38. Digital simulation of random processes and its applications
39. Monte Carlo solution of structural dynamics
40. On the numerical solution of the Fokker-Planck equation for nonlinear stochastic systems
41. Parallel implementation of MCS - Comparative studies from stochastic structural dynamics. Computational stochastic mechanic [special issue]
42. The generalized cell mapping method in nonlinear random vibration based upon short-time Gaussian approximation
43. Computational procedure for a fast calculation of eigenvectors and eigenvalues of structures with random properties
44. Weighted integral method in stochastic finite element analysis
45. Weighted integral method in multi-dimensional stochastic finite element analysis
46. Stochastic finite element analysis of simple beams
47. Phase space reduction in stochastic dynamics
48. Iterative schemes for stability problems with non-singular Fokker-Planck equations
49. Digital generation of non-Gaussian stochastic fields
50. Simulation of random envelope processes
51. On the normality and accuracy of simulated random processes
52. A new path integral procedure based on Gauss-Legendre scheme