Finite Element Methods in Dynamics, Y.K. Cheung; A.Y.T. Leung
Автор: Y.K. Cheung; A.Y.T. Leung Название: Finite Element Methods in Dynamics ISBN: 0792313135 ISBN-13(EAN): 9780792313137 Издательство: Springer Рейтинг: Цена: 26122.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Presents the developments in structural dynamics with particular emphasis on the formulation of equations of motion by finite element methods and their solution using microcomputers. This book discusses the use of frequency-dependent shape functions for realistic finite element modelling, as opposed to the approximate conventional shape functions.
Описание: This book details a systematic characteristics-based finite element procedure to investigate incompressible, free-surface and compressible flows.
Описание: When students once master the concepts of the finite element method (and meshing), it’s not long before they begin to look at other numerical techniques and applications, especially the boundary element and meshless methods (since a mesh is not required). The expert authors of this book provide a simple explanation of these three powerful numerical schemes and show how they all fall under the umbrella of the more universal method of weighted residuals.The book is structured in four sections. The first introductory section provides the method of weighted residuals development of finite differences, finite volume, finite element, boundary element, and meshless methods along with 1D examples of each method. The following three sections of the book present a more detailed development of the finite element method, then progress through the boundary element method, and end with meshless methods. Each section serves as a stand-alone description, but it is apparent how each conveniently leads to the other techniques. It is recommended that the reader begin with the finite element method, as this serves as the primary basis for defining the method of weighted residuals.
This monograph presents numerical methods for solving transient wave equations (i.e. in time domain). More precisely, it provides an overview of continuous and discontinuous finite element methods for these equations, including their implementation in physical models, an extensive description of 2D and 3D elements with different shapes, such as prisms or pyramids, an analysis of the accuracy of the methods and the study of the Maxwell’s system and the important problem of its spurious free approximations. After recalling the classical models, i.e. acoustics, linear elastodynamics and electromagnetism and their variational formulations, the authors present a wide variety of finite elements of different shapes useful for the numerical resolution of wave equations. Then, they focus on the construction of efficient continuous and discontinuous Galerkin methods and study their accuracy by plane wave techniques and a priori error estimates. A chapter is devoted to the Maxwell’s system and the important problem of its spurious-free approximations. Treatment of unbounded domains by Absorbing Boundary Conditions (ABC) and Perfectly Matched Layers (PML) is described and analyzed in a separate chapter. The two last chapters deal with time approximation including local time-stepping and with the study of some complex models, i.e. acoustics in flow, gravity waves and vibrating thin plates. Throughout, emphasis is put on the accuracy and computational efficiency of the methods, with attention brought to their practical aspects.
This monograph also covers in details the theoretical foundations and numerical analysis of these methods. As a result, this monograph will be of interest to practitioners, researchers, engineers and graduate students involved in the numerical simulation
of waves.
Автор: Korelc Название: Automation of Finite Element Methods ISBN: 3319390031 ISBN-13(EAN): 9783319390031 Издательство: Springer Рейтинг: Цена: 20896.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
New finite elements are needed as well in research as in industry environments for the
development of virtual prediction techniques. The design and implementation of novel finite
elements for specific purposes is a tedious and time consuming task, especially for nonlinear
formulations. The automation of this process can help to speed up this process
considerably since the generation of the final computer code can be accelerated by order of
several magnitudes.
This book provides the reader with the required knowledge needed to employ modern
automatic tools like AceGen within solid mechanics in a successful way. It covers the range
from the theoretical background, algorithmic treatments to many different applications. The
book is written for advanced students in the engineering field and for researchers in
Описание: With contributions from leading experts in a high-profile field, this collection introduces a range of problems in offshore technology, as well as detailing ways of modeling the dynamics of machines commonly used in this environmentally sensitive industry.
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