With the revolution in readily available computing power, the finite element method has become one of the most important tools for the modern engineer. This method of analyzing and modeling materials, structures, and forms is based on turning physical shapes into mathematical models made up from descriptive nodes, which can be manipulated using matrix methods. Examples include the new discipline of computational fluid dynamics, aerodynamic modeling, and the prediction of the behavior of components under load. The nature of matrix algebra means that these calculations can easily be performed using computer programs, thus making enormous savings in time and efficiency. It is vital that the engineer or engineering student fully understands the theory and knowledge that underpins the finite element method before it is possible to utilize it in practice. Professor Rao, who has many years of teaching experience at one of the country's leading centers of technical excellence, explains the topics from first principles, making use of numerous illustrations and examples and breaking the subject into easily absorbed segments which will guide the reader through the material in stages.
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The Finite Element Method in Engineering is the only book to provide a broad overview of the underlying principles of finite element analysis and where it fits into the larger context of other mathematically based engineering analytical tools. This is an updated and improved version of a finite element text long noted for its practical applications approach, its readability, and ease of use. Students will find in this textbook a thorough grounding of the mathematical principles underlying the popular, analytical methods for setting up a finite element solution based on mathematical equations.
The book provides a host of real-world applications of finite element analysis, from structural design to problems in fluid mechanics and thermodynamics. It has added new sections on the assemblage of element equations, as well as an important new comparison between finite element analysis and other analytical methods showing advantages and disadvantages of each.
This book will appeal to students in mechanical, structural, electrical, environmental and biomedical engineering.
Finite Element Analysis is an analytical engineering tool originated by the Aerospace and nuclear power industries to find usable, approximate solutions to problems with many complex variables. It is an extension of derivative and integral calculus, and uses very large matrix arrays and mesh diagrams to calculate stress points, movement of loads and forces, and other basic physical behaviors. Rao provides a thorough grounding of the mathematical principles for setting up finite element solutions in civil, mechanical, and aerospace engineering applications. The new edition includes examples using modern computer tools such as Matlab, Ansys, Nastran, and Abaqus.
Professional engineers will benefit from the introduction to the many useful applications of finite element analysis, and will gain a better understanding of its limitations and special uses.
New to this edition: Examples and applications in Matlab, Ansys, and Abaqus Structured problem solving approach in all worked examples New discussions throughout, including the direct method of deriving finite element equations, use of strong and weak form formulations, complete treatment of dynamic analysis, and detailed analysis of heat transfer problems
More examples and exercises All figures revised and redrawn for clarity
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