Sensitivity Analysis for Nonlinear Dynamic Systems
Author: Debabrata Ray
Publisher:
Published: 1974
Total Pages: 200
ISBN-13:
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Author: Debabrata Ray
Publisher:
Published: 1974
Total Pages: 200
ISBN-13:
DOWNLOAD EBOOKAuthor: Mansour Eslami
Publisher: Springer Science & Business Media
Published: 2013-11-09
Total Pages: 618
ISBN-13: 366201632X
DOWNLOAD EBOOKThis book provides a comprehensive treatment of the development and present state of the theory of sensitivity of dynamic systems. It is intended as a textbook and reference for researchers and scientists in electrical engineering, control and information theory as well as for mathematicians. The extensive and structured bibliography provides an overview of the literature in the field and points out directions for further research.
Author: Abhijit Dutta
Publisher:
Published: 1996
Total Pages: 710
ISBN-13:
DOWNLOAD EBOOKAuthor: Shunsuke Okubo
Publisher:
Published: 2001
Total Pages: 174
ISBN-13:
DOWNLOAD EBOOKAuthor: Kyung K. Choi
Publisher: Springer Science & Business Media
Published: 2006-12-30
Total Pages: 457
ISBN-13: 0387271694
DOWNLOAD EBOOKExtensive 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.
Author: Daniel Anthony Tortorelli
Publisher:
Published: 1988
Total Pages: 260
ISBN-13:
DOWNLOAD EBOOKTwo adjoint formulations are developed for the design sensitivity analysis of linear and nonlinear dynamic thermoelastic systems. The variation of a general design functional is expressed in explicit form with respect to variations of the design quantities, i.e. material properties, applied loads, prescribed boundary conditions, initial conditions, and shape. The design functional is expressed in terms of these explicit quantities and the implicit response variables: displacement, temperature, stress, strain, heat flux vector, temperature gradient, reaction forces, and reaction surface flux. The convolution is employed, in lieu of the time mappings used in other approaches to account for transient response. The design sensitivities for dynamic thermoelastic, nonlinear uncoupled dynamic thermoelastic problems are presented here for the first time. The use of the convolution for sensitivity analysis is also presented here for the first time. By formulating these sensitivities, numerical optimization algorithms currently used for elastostatic structure redesign, can be applied to nonlinear dynamic thermoelastic systems. Sensitivities for linear elastodynamic and dynamic thermoelastic problems are derived by incorporating the reciprocal theorem between a variation of the real design and an adjoint system. The Lagrange multiplier method is utilized to formulate sensitivities for nonlinear uncoupled dynamic thermoelastic problems. These formulations may also be specialized for linear and nonlinear transient conduction problems. The finite element method is used to demonstrate the numerical implementation of the formulations. Shape sensitivities are evaluated and compared with finite difference calculations to validate the results. A numerical optimization algorithm is combined with the sensitivity analyses to redesign the geometry of a mold in a casting problem and the shape of structure whose response is governed by a nonlinear quasi-static thermoelastic system.
Author: K. K. Choi
Publisher: Springer Science & Business Media
Published: 2006-12-22
Total Pages: 336
ISBN-13: 0387273069
DOWNLOAD EBOOKExtensive 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.
Author: Rajko Tomović
Publisher:
Published: 1963
Total Pages: 160
ISBN-13:
DOWNLOAD EBOOKAuthor: Rajko Tomovic
Publisher:
Published: 1963
Total Pages: 142
ISBN-13:
DOWNLOAD EBOOKAuthor: Hal Caswell
Publisher: Springer
Published: 2019-04-02
Total Pages: 308
ISBN-13: 3030105342
DOWNLOAD EBOOKThis open access book shows how to use sensitivity analysis in demography. It presents new methods for individuals, cohorts, and populations, with applications to humans, other animals, and plants. The analyses are based on matrix formulations of age-classified, stage-classified, and multistate population models. Methods are presented for linear and nonlinear, deterministic and stochastic, and time-invariant and time-varying cases. Readers will discover results on the sensitivity of statistics of longevity, life disparity, occupancy times, the net reproductive rate, and statistics of Markov chain models in demography. They will also see applications of sensitivity analysis to population growth rates, stable population structures, reproductive value, equilibria under immigration and nonlinearity, and population cycles. Individual stochasticity is a theme throughout, with a focus that goes beyond expected values to include variances in demographic outcomes. The calculations are easily and accurately implemented in matrix-oriented programming languages such as Matlab or R. Sensitivity analysis will help readers create models to predict the effect of future changes, to evaluate policy effects, and to identify possible evolutionary responses to the environment. Complete with many examples of the application, the book will be of interest to researchers and graduate students in human demography and population biology. The material will also appeal to those in mathematical biology and applied mathematics.