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Coupling Meshfree Methods with Reliability Analysis Techniques
Technical Paper
2003-01-0145
ISSN: 0148-7191, e-ISSN: 2688-3627
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English
Abstract
This report describes the use of meshfree methods for response and design sensitivity calculations within structural reliability analysis when geometric shape is a random variable. Brief descriptions of meshfree methods and advanced probabilistic methods are provided. An existing interface between the probabilistic analysis and traditional finite element method is modified to allow the use of meshfree methods for response and design sensitivity calculations within the probabilistic analysis routine. Two examples that treat design shape as a random variable are presented to assess the accuracy and use of meshfree methods for reliability analysis.
Authors
Citation
Kloess, A., Wang, H., and Botkin, M., "Coupling Meshfree Methods with Reliability Analysis Techniques," SAE Technical Paper 2003-01-0145, 2003, https://doi.org/10.4271/2003-01-0145.Also In
Reliability & Robust Design in Automotive Engineering on CD-ROM
Number: SP-1736CD; Published: 2003-03-03
Number: SP-1736CD; Published: 2003-03-03
References
- Sues, R. Cesare, M. Pageau, S. Wu, J. Reliability Based MDO for Aerospace Systems AIAA 2000-4804 8th Symposium on Multidisciplinary Analysis and Optimization Long Beach, CA September 6-8, 2000
- Bennett J. A. Botkin M. E. Structural Shape Optimization with Geometric Description and Adaptive Mesh Refinement AIAA Journal 23 3 1985 458 464
- Yao, T. M. Choi, K. K. 3-D Shape Optimal Design and Automatic Finite Element Regridding International Journal for Numerical Methods in Engineering 28 369 384 1989
- Lancaster, P. Salkauskas, K. Surface Generated by Moving Least Squares Methods Mathematics of Computation 37 141 158 1981
- Randles, P. W. Libersky, L. D. Smoothed Particle Hydrodynamics: Some Recent Improvements and Applications Computational Methods and Applications in Mechanical Engineering 139 375 408 1996
- Nayroles, B. Touzot, G. Villon, P. Generalizing the Finite Element Method: Diffuse Approximation and Diffuse Elements Computational Mechanics 10 307 318 1992
- Belytschko, T. Lu, Y. Y. Gu, L. Element Free Galerkin Method International Journal for Numerical Methods in Engineering 37 229 256 1994
- Liu, W. K. Jun, S. Zhang, Y. F. Reproducing Kernel Particle Methods International Journal for Numerical Methods in Fluids 20 1081 1106 1995
- Chen, J. S. Pan, C. Wu, C. T. Liu, W. K. Reproducing Kernel Particle Methods for Large Deformation Analysis of Nonlinear Structures Computational Methods and Applications in Mechanical Engineering 139 195 227 1996
- Melenk, J. M. Babuska, I. The Partition of Unity Finite Element Method: Basic Theory and Applications Computational Methods and Applications in Mechanical Engineering 139 289 314 1996
- Duarte, C.A.M. Oden, J. T. A H-P Adaptive Method Using Clouds Computational Methods and Applications in Mechanical Engineering 139 237 262 1996
- NESSUS/FPI User’s and Theoretical Manuals - Version 2.4 Probabilistic Mechanics and Reliability Section Southwest Research Institute San Antonio, TX 1998
- Riha, D. S. Millwater, H. R. Thacker, B. H. Probabilistic Structural Analysis Using a General Purpose Finite Element Program Finite Elements in Analysis and Design 11 1992 201 211
- Subramanian, R. Lust, R. Application of Probabilistic Methods on Automotive Structures 6th ISSAT International Conference on Reliability and Quality in Design Orlando, FL 2000 Proceedings 154 159 August 9-11,2000
- Kim, N. H. Choi, K. K. Structural Shape Design Optimization Using Meshfree Method GM R & D Center, Contract Report, CR-99/03/VAD October 1999
- Chen, J. S. Wang, H. P. New Boundary Condition Treatments in Meshfree Computation of Contact Problems Computational Methods and Applications in Mechanical Engineering 187 441 468 2000
- Wu, Y.-T. Millwater, H. R. Cruse, T. A. Advanced Probabilistic Structural Analysis Method for Implicit Performance Functions AIAA Journal 28 9 September 1990
- Moore, Gregory J., MSC/NASTRAN Design Sensitivity and Optimization User’s Guide 68 The MacNeal-Schwendler Corporation Los Angeles, CA 1994
- NASFPI User’s Manual 2.4 Probabilistic Mechanics and Reliability Section Southwest Research Institute San Antonio, TX April 1999