Matrix Computer Methods of Vibration Analysis PDF Download
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Author: D. J. Hatter
Publisher: Butterworth-Heinemann
ISBN: 1483161544
Category : Mathematics
Languages : en
Pages : 215
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Book Description
Matrix Computer Methods of Vibration Analysis is an eight-chapter introductory text to a particular technique that combines vibration analysis, matrix algebra, and computational methods. This book is emerged from a series of lectures presented at the North-East London Polytechnic. Chapters 1 and 2 introduce the basic concepts of matrix algebra, followed by a discussion on the facilities and methods of use of the computer in Chapter 3. Chapter 4 deals with the synthesis and manipulation of the system matrix for a vibrating system consisting of a number of lumped parameters, each of these being either a point mass or a massless spring. Chapter 5 describes the concept of separate matrices for the stiffnesses and masses of beams or shafts, while Chapter 6 evaluate the systems subjected to forced vibration due to varying frequencies of excitation and damping. Chapters 7 considers the different types of element that can be encountered in the analysis of a shaft or beam for natural frequencies, with an emphasis on the algorithm for dealing with massless shaft elements and point masses. Chapter 8 covers the analysis and computational requirements of torsional vibration. This work is an invaluable source for mathematicians and computer programmers and researchers.
Author: D. J. Hatter
Publisher: Butterworth-Heinemann
ISBN: 1483161544
Category : Mathematics
Languages : en
Pages : 215
Get Book Here
Book Description
Matrix Computer Methods of Vibration Analysis is an eight-chapter introductory text to a particular technique that combines vibration analysis, matrix algebra, and computational methods. This book is emerged from a series of lectures presented at the North-East London Polytechnic. Chapters 1 and 2 introduce the basic concepts of matrix algebra, followed by a discussion on the facilities and methods of use of the computer in Chapter 3. Chapter 4 deals with the synthesis and manipulation of the system matrix for a vibrating system consisting of a number of lumped parameters, each of these being either a point mass or a massless spring. Chapter 5 describes the concept of separate matrices for the stiffnesses and masses of beams or shafts, while Chapter 6 evaluate the systems subjected to forced vibration due to varying frequencies of excitation and damping. Chapters 7 considers the different types of element that can be encountered in the analysis of a shaft or beam for natural frequencies, with an emphasis on the algorithm for dealing with massless shaft elements and point masses. Chapter 8 covers the analysis and computational requirements of torsional vibration. This work is an invaluable source for mathematicians and computer programmers and researchers.
Author: R. E. D. Bishop
Publisher: Cambridge University Press
ISBN: 9780521098854
Category : Mathematics
Languages : en
Pages : 0
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Book Description
Vibration problems arise in the design of almost all engineering machinery and structures. Many of these problems are extremely complex but their solution is essential if a safe and satisfactory design is to be achieved. The equations of motion are often insoluble by the classical methods of the calculus and so it is necessary to approximate on order to reduce them to a set of linear equations. The use of matrices simplifies the solution of sets of linear equations. This book describes the matrix formulation of the equations of motion and techniques for the solution of matrix equations. The book describes some typical computer methods and also includes a large number of problems (with solutions) which may conveniently be solved by using a desk calculating machine.
Author: Clarence W. de Silva
Publisher: CRC Press
ISBN: 1420053183
Category : Science
Languages : en
Pages : 214
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Book Description
Understanding and controlling vibration is critical for reducing noise, improving work environments and product quality, and increasing the useful life of industrial machinery and other mechanical systems. Computer-based modeling and analytical tools provide fast, accurate, and efficient means of designing and controlling a system for improved vibr
Author: United States Naval Academy
Publisher:
ISBN:
Category :
Languages : en
Pages : 212
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Book Description
Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 956
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Author: United States Naval Academy
Publisher:
ISBN:
Category : Naval education
Languages : en
Pages : 856
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Author:
Publisher:
ISBN:
Category : Shock (Mechanics)
Languages : en
Pages : 600
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Book Description
Author: Rao V. Dukkipati
Publisher: Alpha Science Int'l Ltd.
ISBN: 9781842651681
Category : Science
Languages : en
Pages : 1022
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Book Description
Discusses in a concise but through manner fundamental statement of the theory, principles and methods of mechanical vibrations.
Author: Singiresu S. Rao
Publisher: Elsevier
ISBN: 0080952046
Category : Technology & Engineering
Languages : en
Pages : 727
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Book Description
The Finite Element Method in Engineering, Fifth Edition, provides a complete introduction to finite element methods with applications to solid mechanics, fluid mechanics, and heat transfer. Written by bestselling author S.S. Rao, this book provides students with a thorough grounding of the mathematical principles for setting up finite element solutions in civil, mechanical, and aerospace engineering applications. The new edition of this textbook includes examples using modern computer tools such as MatLab, Ansys, Nastran, and Abaqus.This book discusses a wide range of topics, including discretization of the domain; interpolation models; higher order and isoparametric elements; derivation of element matrices and vectors; assembly of element matrices and vectors and derivation of system equations; numerical solution of finite element equations; basic equations of fluid mechanics; inviscid and irrotational flows; solution of quasi-harmonic equations; and solutions of Helmhotz and Reynolds equations. New to this edition are examples and applications in Matlab, Ansys, and Abaqus; structured problem solving approach in all worked examples; and 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. All figures are revised and redrawn for clarity.This book will benefit professional engineers, practicing engineers learning finite element methods, and students in mechanical, structural, civil, and aerospace engineering. - 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
Author:
Publisher:
ISBN:
Category : Computer programs
Languages : en
Pages : 32
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Book Description
