Описание: There is a resurgence of applications for the calculus of variations, such as in solid mechanics and dynamics, numerical methods, numerical grid generation, modern physics, various optimization settings and fluid dynamics. This book reflects the connection between calculus of variations and the applications for which variational methods form the foundation.
Описание: Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non- trivially) in regional and theoretical economics;
Описание: Variational calculus has been the basis of a variety of powerful methods in the ?eld of mechanics of materials for a long time. This c- prises the modeling of the evolution of internal variables in inelastic materials as well as the initiation and development of material patterns and microstructures.
Описание: Variational calculus has been the basis of a variety of powerful methods in the ?eld of mechanics of materials for a long time. This c- prises the modeling of the evolution of internal variables in inelastic materials as well as the initiation and development of material patterns and microstructures.
A comprehensive guide to using energy principles and variational methods for solving problems in solid mechanics
This book provides a systematic, highly practical introduction to the use of energy principles, traditional variational methods, and the finite element method for the solution of engineering problems involving bars, beams, torsion, plane elasticity, trusses, and plates.
It begins with a review of the basic equations of mechanics, the concepts of work and energy, and key topics from variational calculus. It presents virtual work and energy principles, energy methods of solid and structural mechanics, Hamilton's principle for dynamical systems, and classical variational methods of approximation. And it takes a more unified approach than that found in most solid mechanics books, to introduce the finite element method.
Featuring more than 200 illustrations and tables, this Third Edition has been extensively reorganized and contains much new material, including a new chapter devoted to the latest developments in functionally graded beams and plates.
Offers clear and easy-to-follow descriptions of the concepts of work, energy, energy principles and variational methods
Covers energy principles of solid and structural mechanics, traditional variational methods, the least-squares variational method, and the finite element, along with applications for each
Provides an abundance of examples, in a problem-solving format, with descriptions of applications for equations derived in obtaining solutions to engineering structures
Features end-of-the-chapter problems for course assignments, a Companion Website with a Solutions Manual, Instructor's Manual, figures, and more
Energy Principles and Variational Methods in Applied Mechanics, Third Edition is both a superb text/reference for engineering students in aerospace, civil, mechanical, and applied mechanics, and a valuable working resource for engineers in design and analysis in the aircraft, automobile, civil engineering, and shipbuilding industries.
Описание: With parallel treatment of smooth and non-smooth problems, this text on non-linear boundary value problems and related analysis has new material on Neumann problems involving non-homogeneous differential operators, seen here for the first time in book form.
Описание: It takes an intermediate position between elliptic and parabolic inequalities and comprises an elliptic differential operator, a memory term and time-dependent convex constraint sets.
Автор: Leonhard Bittner; Roland Bulirsch; Knut Heier; Wer Название: Variational Calculus, Optimal Control and Applications ISBN: 3034897804 ISBN-13(EAN): 9783034897808 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The 12th conference on "Variational Calculus, Optimal Control and Applications" took place September 23-27, 1996, in Trassenheide on the Baltic Sea island of Use- dom. The conferences were founded, and led ten times, by Professor Bittner (Greifswald) and Professor KlCitzler (Leipzig), who both celebrated their 65th birthdays in 1996.
Описание: With parallel treatment of smooth and non-smooth problems, this text on non-linear boundary value problems and related analysis has new material on Neumann problems involving non-homogeneous differential operators, seen here for the first time in book form.
Описание: This book includes a self-contained theory of inequality problems and their applications to unilateral mechanics. It is the first textbook including a comprehensive and systematic study of both elliptic, parabolic and hyperbolic inequality models, dynamical unilateral systems and unilateral eigenvalues problems.
ООО "Логосфера " Тел:+7(495) 980-12-10 www.logobook.ru
