AN EFFICIENT METHOD FOR NONLINEAR DYNAMIC ANALYSIS OF 3D SPACE STRUCTURES
SCRUTINIZATION OF TECHNIQUES TO OPTIMIZING FUNCTIONS OF SEVERAL VARIABLES
The first optimization technique known is steepest descent. The optimization technique find solution of problems in which it minimizes a real function by integer value of variables from within permission set. The optimization theory and techniques use a real-valued objective function.
The Lagrangian is defined as that which appears under the action integral. In the viewpoint of optimization technique, the method of Lagrange multipliers supplies a strategy for searching the minimum of a function subordinate constraint. In mathematics, Euclidean space applies to three-dimensional space of Euclidean geometry. In modern mathematics, it is more common to define Euclidean space using Cartesian coordinates. The result is always a real number. Differential geometry of curves is the branch of geometry that deals with smooth curves in the Euclidean space by methods of differentials. The special case of the theory, response to static load is employed to demonstrate the application of the chosen method of minimization. This also enables the presentation of the algorithm for static analysis in line with the forthcoming dynamic theory.
روش بهینه سازی و تعریف ریاضی آن در معادله حرکت دینامیکی
آموزش جامع روش های پیشرفته آنالیز دینامیکی غیر خطی سازه های فضائی سه بعدی