This book presents an introduction to the mathematical basis of finite element analysis as applied to vibrating systems. Finite element analysis is a technique that is very important in modeling 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 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.
Introduction to Finite Element Vibration Analysis
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Editorial Reviews
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' The Introduction to Finite Element Vibration Analysis by Professor Maurice Petyt is a well-written and detailed account of methods and equations leading to the solution of problems involving finite element analysis. This is an excellent reference and textbook, which is ideal for both students and users of finite element techniques.' Brian Thomas, The Naval Architect
Book Description
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. 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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Inside This Book
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First Sentence:
The first step in the analysis of any structural vibration problem is the formulation of the equations of motion. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
finite element displacement method, nodal force matrix, beam bending element, internal node points, element displacement functions, additional node points, antisymmetric boundary conditions, rotationally periodic structure, analytical frequencies, antisymmetric motion, element inertia matrix, plate bending elements, one element solution, stiffener element, one integration point, equivalent nodal forces, inertia matrices, component mode synthesis, slave degrees, supported square plate, cubic variation, central difference method, torque element, period elongation, force matrices Key Phrases - Capitalized Phrases (CAPs): (learn more)
Repeat Example, Use Hamilton, Find the Fourier, Problems Note, Analyse Problem, Investigate the Sturm, Use Crout New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
The first step in the analysis of any structural vibration problem is the formulation of the equations of motion. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
finite element displacement method, nodal force matrix, beam bending element, internal node points, element displacement functions, additional node points, antisymmetric boundary conditions, rotationally periodic structure, analytical frequencies, antisymmetric motion, element inertia matrix, plate bending elements, one element solution, stiffener element, one integration point, equivalent nodal forces, inertia matrices, component mode synthesis, slave degrees, supported square plate, cubic variation, central difference method, torque element, period elongation, force matrices Key Phrases - Capitalized Phrases (CAPs): (learn more)
Repeat Example, Use Hamilton, Find the Fourier, Problems Note, Analyse Problem, Investigate the Sturm, Use Crout New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 34
books:
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18
books
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- Numerical Methods (School Mathematics Project 16-19) by School Mathematics Project on 5 pages
- The Finite Element Method: Its Basis and Fundamentals, Sixth Edition by O. C. Zienkiewicz on 4 pages
- Dynamics of Structures by Raymond W. Clough in Back Matter (1), Back Matter (2), and Back Matter (3)
- Modal Testing: Theory and Practice (Engineering Dynamics) by D. J. Ewins in Back Matter (1), Back Matter (2), and Back Matter (3)
- Random Data: Analysis & Measurement Procedures by Julius S. Bendat in Back Matter (1), and Back Matter (2)
See all 34 books this book cites
- Advanced Applications in Acoustics, Noise and Vibration by Frank Fahy on page 487, and page 488
- Foundations of Engineering Acoustics by Frank J. Fahy on page 242, and Back Matter
- Introduction to Structural Dynamics (Cambridge Aerospace Series) by Bruce K. Donaldson on page 319
- Fluid-Structure Interaction: Applied Numerical Methods by Henri J.-P. Morand in Back Matter
- Mesh Free Methods: Moving Beyond the Finite Element Method by G. R. Liu in Back Matter
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