Design Sensitivity Analysis of Structural Systems (Mathematics in Science and Engineering)

The book is organized into four chapters. The first three treat distinct types of design variables, and the fourth presents a built-up structure formulation that combines the other three. The first chapter treats finite-dimensional problems, in which the state variable is a finite-dimensional vector of structure displacements and the design parameters. The structual state equations are matrix equations for static response, vibration, and buckling of structures and matrix differential equations for transient dynamic response of structures, which design variables appearing in the coefficient matrices.

Design Sensitivity Analysis of Structural Systems (MATHEMATICS IN SCIENCE AND ENGINEERING)

Science & Math

Komkov, Vadim

Choi, Kyung K.

Haug, Edward J.

Technology

Academic Press

The book is organized into four chapters.  The first three treat distinct types of design variables, and the fourth presents a built-up structure formulation that combines the other three.  The first chapter treats finite-dimensional problems, in which the state variable is a finite-dimensional vector of structure displacements and the design parameters. The structual state equations are matrix equations for static response, vibration, and buckling of structures and matrix differential equations for transient dynamic response of structures, which design variables appearing in the coefficient matrices.

This rigorous and thorough presentation of the basic and broadly applicable methods of engineering mathematics presents generalization of conventional vector properties, establishes similarities in basic properties and concepts of vector analysis, shows that the governing equations involved in many engineering applications fall into four basic forms, and sets out the equivalence between solving boundary-value problems and minimizing energy functionals. The theory and definitions are all illuminated by practical examples drawn from mechanical and civil engineering and related engineering specializations.

Methods of Engineering Mathematics

Mathematics

PRENTICE/HALL

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.

Structural Sensitivity Analysis and Optimization 1: Linear Systems (Mechanical Engineering Series)

Computers & Technology

Kim, Nam-Ho

Programming

Springer

Isogeometric Optimal Design

Cho, Seonho

Ha, Youn D.

wiley

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