Modification and Application of Parametric Continuation Method

Akshay Patil

ISBN 10: 3659910406 / ISBN 13: 9783659910401

Published by LAP LAMBERT Academic Publishing Jun 2016, 2016

About this Item

This item is printed on demand - it takes 3-4 days longer - Neuware -Many problems in applied mechanics are reduced to the solutions of systems of nonlinear algebraic, transcendental, differential or integral-differential equations containing an explicit parameter. These are problems in the areas of thermo-fluids, gas dynamics, deformable solids, heat transfer, biomechanics, analytical dynamics, catastrophe theory, optimal control and others. A parameter found in these models is not unique, and may be easily identified as a load, geometric, structural, and physical or can be introduced artificially. An important aspect of these problems is a question of the variation of the solution when parameter is incrementally changed. The method of continuing the solution with respect to the parameter is a natural and universal tool for the analysis. It was originally introduced by Ambarzumian and Chandrasekar, and intensively studied by Bellman, Kalaba and others. Different problems of applied mechanics and physics with dominant nonlinearities due to convective phenomena, constituent models, finite deformation, bifurcation and others are analyzed and solved in the present work. 100 pp. Englisch.

Seller Inventory # 9783659910401

Bibliographic Details

• Title: Modification and Application of Parametric Continuation Method
• Publisher: LAP LAMBERT Academic Publishing Jun 2016
• Publication Date: 2016
• Language: English
• ISBN 10: 3659910406
• ISBN 13: 9783659910401
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 220W x 150H x 6D millimeters 220 millimeters width by 150 millimeters height by 6 millimeters depth
• Weight: 167 grams

About this title

Synopsis

Many problems in applied mechanics are reduced to the solutions of systems of nonlinear algebraic, transcendental, differential or integral-differential equations containing an explicit parameter. These are problems in the areas of thermo-fluids, gas dynamics, deformable solids, heat transfer, biomechanics, analytical dynamics, catastrophe theory, optimal control and others. A parameter found in these models is not unique, and may be easily identified as a load, geometric, structural, and physical or can be introduced artificially. An important aspect of these problems is a question of the variation of the solution when parameter is incrementally changed. The method of continuing the solution with respect to the parameter is a natural and universal tool for the analysis. It was originally introduced by Ambarzumian and Chandrasekar, and intensively studied by Bellman, Kalaba and others. Different problems of applied mechanics and physics with dominant nonlinearities due to convective phenomena, constituent models, finite deformation, bifurcation and others are analyzed and solved in the present work.

About the Author

Hi! My name is Akshay Patil. I have graduated with a degree of Master of Science in Mechanical Engineering with a focus of Mechanics and Design and Automotive as an option from Rochester Institute of Technology in New York.