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This book provides several applications of the finite element method (FEM) for solving real-world problems. FEM is a widely used technique for numerical simulations in many areas of physics and engineering. It has gained increased popularity over recent years for the solution of complex engineering and science problems. FEM is now a powerful and popular numerical method for solving differential equations, with flexibility in dealing with complex geometric domains and various boundary conditions. The method has a wide range of applications in various branches of engineering such as mechanical engineering, thermal and fluid flows, electromagnetics, business management, and many others. This book describes the development of FEM and discusses and illustrates its specific applications.
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Vorgestellt werden die Grundlagen für die hydraulische und statische Bemessung von Schlauchwehren auf Basis von Laboruntersuchungen sowie analytischer und numerischer Berechnungen. Ursache und Vermeidung von Schwingungen sind zentrale Punkte.
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This book presents an introduction to the mathematical basis of finite element analysis as applied to vibrating systems. Finite element analysis is a technique which is very important in modelling the response of structures to dynamic loads and is widely used in aeronautical, civil and mechanical engineering as well as naval architecture. Commercial computer programs based on this technique already exist. Nevertheless, a knowledge of the mathematical principles involved is necessary before they can be successfully used. Therefore, this book assumes no previous knowledge of finite element techniques by the reader. The author has taught courses on the subject at both undergraduate and postgraduate levels. The book has been written in a modular style to make it suitable for use in courses of varying length and level.
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The present work deals with the design of structure-preserving numerical methods in the field of nonlinear elastodynamics with an extension to multi-field problems. A new approach to the design of energy-momentum (EM) consistent time-stepping schemes for nonlinear elastodynamics is proposed. Moreover, we extend the formalism to multi-field problems.
Finite element method. --- Finite element method --- Data processing.
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