Parameter Sensitivity in Nonlinear Mechanics
Parameter Sensitivity in Nonlinear Mechanics

Author: Michael Kleiber

Publisher:

Published: 1997-05-12

Total Pages: 432

ISBN-13:

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There are various methods for the analysis and design of bodies subject to static and dynamic loadings in structural and solid mechanics. Sensitivity analysis is concerned with the relationship between parameters, describing the structure under consideration and the function describing the response of that structure under loading conditions. This book addresses the finite element computational techniques typical of sensitivity analysis for solid mechanics systems with any nonlinearity. It is an attempt to combine theoretical modelling techniques with effective computer implementation: besides the theory many suitable finite element codes have been developed by the authors and used for computing examples discussed in the text.

Structural Sensitivity Analysis and Optimization 1
Structural Sensitivity Analysis and Optimization 1

Author: Kyung K. Choi

Publisher: Springer Science & Business Media

Published: 2006-12-30

Total Pages: 457

ISBN-13: 0387271694

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Extensive numerical methods for computing design sensitivity are included in the text for practical application and software development. The numerical method allows integration of CAD-FEA-DSA software tools, so that design optimization can be carried out using CAD geometric models instead of FEA models. This capability allows integration of CAD-CAE-CAM so that optimized designs can be manufactured effectively.

Nonlinear Sensitivity Analysis of Multi-Parameter Model Systems
Nonlinear Sensitivity Analysis of Multi-Parameter Model Systems

Author: R. I. Cukier

Publisher:

Published: 1974

Total Pages: 118

ISBN-13:

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Large sets of coupled, nonlinear equations arise in a number of disciplines in connection with computer based models of physical, social and economic processes. Solutions for such large systems of equations must be effected by means of digital computers using appropriately designed codes. This paper addresses itself to the critically important problem of how sensitive the solutions are to variations of, or inherent uncertainties in, the parameters of the equation set. We review here, and also present further developments, of our statistical method of sensitivity analysis. The sensitivity analysis presented here is nonlinear and thus permits one to study the effects of large deviations from the nominal parameter values. In addition, since all parameters are varied simultaneously, one can explore regions of parameter space where several parameters deviate simultaneously from their nominal values. Developed her eis a theory of a method of sensitivity analysis, then detail the method of implementation and finally present several examples of its use to date.

Stability and Optimization of Structures
Stability and Optimization of Structures

Author: Makoto Ohsaki

Publisher: Springer Science & Business Media

Published: 2007-06-10

Total Pages: 276

ISBN-13: 0387681841

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This book focuses on the optimization of a geometrically-nonlinear structure under stability constraint. It presents a deep insight into optimization-based and computer-assisted stability design of discrete structures. Coverage combines design sensitivity analysis developed in structural optimization and imperfection-sensitivity analysis developed in stability analysis.

Model Validation and Uncertainty Quantification, Volume 3
Model Validation and Uncertainty Quantification, Volume 3

Author: H. Sezer Atamturktur

Publisher: Springer

Published: 2015-04-25

Total Pages: 361

ISBN-13: 3319152246

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Model Validation and Uncertainty Quantification, Volume 3. Proceedings of the 33rd IMAC, A Conference and Exposition on Balancing Simulation and Testing, 2015, the third volume of ten from the Conference brings together contributions to this important area of research and engineering. The collection presents early findings and case studies on fundamental and applied aspects of Structural Dynamics, including papers on: Uncertainty Quantification & Model Validation Uncertainty Propagation in Structural Dynamics Bayesian & Markov Chain Monte Carlo Methods Practical Applications of MVUQ Advances in MVUQ & Model Updating