Structural Dynamic Systems Computational Techniques and Optimization by Cornelius T. Leondes ISBN 9781351413237, 1351413236 instant download

Structural Dynamic Systems Computational Techniques and Optimization by Cornelius T. Leondes ISBN 9781351413237, 1351413236 instant download

The finite element method is universally pervasive and a most highly effective technique in the analysis and design or synthesis of structural dynamic systems. The finite element is an approximation method for solving differential equations of mathematical physics. Starting from the system differential equations and their boundary conditions, what is referred to as a weak form of the problem — elaborated upon in the text — is developed in a variational sense. This variational statement is used to define elemental properties that may be written as matrices and vectors, as well as to identify primary and secondary variables and all possible boundary conditions. Specific equilibrium problems are solved by first discretizing the spatial domain of the problem, evaluating the elemental matrices and vectors, assembling elemental terms to form the global system of algebraic equations, applying boundary equations, and solving the resulting system of algebraic equations. This book clearly reveals the effectiveness and great significance of the finite element method available, and, with further development, the essential role it will play in the future.