Matrix Computer Methods of Vibration Analysis

Matrix Computer Methods of Vibration Analysis

Author: D. J. Hatter

Publisher: Butterworth-Heinemann

Published: 2014-05-20

Total Pages: 215

ISBN-13: 1483161544

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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.


The Matrix Analysis of Vibration

The Matrix Analysis of Vibration

Author: R. E. D. Bishop

Publisher: Cambridge University Press

Published: 2008-11-24

Total Pages: 0

ISBN-13: 9780521098854

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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.


Computer Techniques in Vibration

Computer Techniques in Vibration

Author: Clarence W. de Silva

Publisher: CRC Press

Published: 2016-04-19

Total Pages: 214

ISBN-13: 1420053183

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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


Mechatronic Systems 2

Mechatronic Systems 2

Author: Leonid Polishchuk

Publisher: Routledge

Published: 2021-12-21

Total Pages: 332

ISBN-13: 1000482588

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The second volume of the series is devoted to applications of mechatronics in material processing and robotics. Both classical machining methods, such as extrusion, forging and milling, and modern ones, such as plasma and ultrasonic machining, are analyzed. An extensive part covers the modeling of these processes, also from a phenomenological point of view. The study analyzes the issues related to robotics in various technological processes as well.


Introduction to Finite Element Vibration Analysis

Introduction to Finite Element Vibration Analysis

Author: Maurice Petyt

Publisher: Cambridge University Press

Published: 2010-08-23

Total Pages:

ISBN-13: 1139490060

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This is 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. Although this book assumes no previous knowledge of finite element methods, those who do have knowledge will still find the book to be useful. It can be utilised by aeronautical, civil, mechanical, and structural engineers as well as naval architects. This second edition includes information on the many developments that have taken place over the last twenty years. Existing chapters have been expanded where necessary, and three new chapters have been included that discuss the vibration of shells and multi-layered elements and provide an introduction to the hierarchical finite element method.


Finite Element Multidisciplinary Analysis

Finite Element Multidisciplinary Analysis

Author: Kajal K. Gupta

Publisher: AIAA

Published: 2003

Total Pages: 458

ISBN-13: 9781600860539

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Annotation This book fills a gap within the finite element literature by addressing the challenges and developments in multidiscipli-nary analysis. Current developments include disciplines of structural mechanics, heat transfer, fluid mechanics, controls engineering and propulsion technology, and their interaction as encountered in many practical problems in aeronautical, aerospace, and mechanical engineering, among others. These topics are reflected in the 15 chapter titles of the book. Numerical problems are provided to illustrate the applicability of the techniques. Exercises may be solved either manually or by using suitable computer software. A version of the multidisciplinary analysis program STARS is available from the author. As a textbook, the book is useful at the senior undergraduate or graduate level. The practicing engineer will find it invaluable for solving full-scale practical problems.