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

DOWNLOAD EBOOK

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.


Computer Methods in Structural Analysis

Computer Methods in Structural Analysis

Author: J.L. Meek

Publisher: CRC Press

Published: 1991-08-08

Total Pages: 542

ISBN-13: 9780419154402

DOWNLOAD EBOOK

This book deals with finite element analysis of structures and will be of value to students of civil, structural and mechanical engineering at final year undergraduate and post-graduate level. Practising structural engineers and researchers will also find it useful. Authoritative and up-to-date, it provides a thorough grounding in matrix-tensor analysis and the underlying theory, and a logical development of its application to structures.


Computer Methods for Engineering with MATLAB® Applications, Second Edition

Computer Methods for Engineering with MATLAB® Applications, Second Edition

Author: Yogesh Jaluria

Publisher: CRC Press

Published: 2011-09-08

Total Pages: 635

ISBN-13: 1591690366

DOWNLOAD EBOOK

Substantially revised and updated, Computer Methods for Engineering with MATLAB® Applications, Second Edition presents equations to describe engineering processes and systems. It includes computer methods for solving these equations and discusses the nature and validity of the numerical results for a variety of engineering problems. This edition now uses MATLAB in its discussions of computer solution. New to the Second Edition Recent advances in computational software and hardware A large number of MATLAB commands and programs for solving exercises and to encourage students to develop their own computer programs for specific problems Additional exercises and examples in all chapters New and updated references The text follows a systematic approach for obtaining physically realistic, valid, and accurate results through numerical modeling. It employs examples from many engineering areas to explain the elements involved in the numerical solution and make the presentation relevant and interesting. It also incorporates a wealth of solved exercises to supplement the discussion and illustrate the ideas and methods presented. The book shows how a computational approach can provide physical insight and obtain inputs for the analysis and design of practical engineering systems.


Computer Analysis of Structures

Computer Analysis of Structures

Author: Siegfried M. Holzer

Publisher: Elsevier Publishing Company

Published: 1985

Total Pages: 450

ISBN-13:

DOWNLOAD EBOOK

This textbook is designed to help engineering students acquire a precise understanding of the matrix development methods and its underlying concepts and principles, and to acquire experience in developing well-structured programs. A distinguishing feature of this class-tested textbook is its integrated instruction of structured programming and the matrix development method. Focusing on principles taught in sophomore and junior level courses, the book is intended for structural engineering students in civil engineering, aerospace engineering, mechanics, and related disciplines.


Static and Dynamic Analysis of Structures

Static and Dynamic Analysis of Structures

Author: J.F. Doyle

Publisher: Springer Science & Business Media

Published: 1991-07-31

Total Pages: 464

ISBN-13: 9780792312086

DOWNLOAD EBOOK

This book is concerned with the static and dynamic analysis of structures. Specifi cally, it uses the stiffness formulated matrix methods for use on computers to tackle some of the fundamental problems facing engineers in structural mechanics. This is done by covering the Mechanics of Structures, its rephrasing in terms of the Matrix Methods, and then their Computational implementation, all within a cohesivesetting. Although this book is designed primarily as a text for use at the upper-undergraduate and beginning graduate level, many practicing structural engineers will find it useful as a reference and self-study guide. Several dozen books on structural mechanics and as many on matrix methods are currently available. A natural question to ask is why another text? An odd devel opment has occurred in engineering in recent years that can serve as a backdrop to why this book was written. With the widespread availability and use of comput ers, today's engineers have on their desk tops an analysis capability undreamt of by previous generations. However, the ever increasing quality and range of capabilities of commercially available software packages has divided the engineering profession into two groups: a small group of specialist program writers that know the ins and outs of the coding, algorithms, and solution strategies; and a much larger group of practicing engineers who use the programs. It is possible for this latter group to use this enormous power without really knowing anything of its source.


Matrix Methods of Structural Analysis

Matrix Methods of Structural Analysis

Author: R. K. Livesley

Publisher: Elsevier

Published: 2013-10-22

Total Pages: 290

ISBN-13: 1483148912

DOWNLOAD EBOOK

Matrix Methods of Structural Analysis, 2nd Edition deals with the use of matrix methods as standard tools for solving most non-trivial problems of structural analysis. Emphasis is on skeletal structures and the use of a more general finite element approach. The methods covered have natural links with techniques for automatic redundant selection in elastic analysis. This book is comprised of 11 chapters and begins with an introduction to the concepts and notation of matrix algebra, along with the value of a systematic approach; structure as an assembly of elements; boundaries and nodes; linearity and superposition; and how analytical methods are built up. The discussion then turns to the variables which form the basis of much of structural analysis, as well as the most important relationships between them. Subsequent chapters focus on the elastic properties of single elements; the equilibrium or displacement method; the equilibrium equations of a complete structure; plastic analysis and design; transfer matrices; and the analysis of non-linear structures. The compatibility or force method is also described. The final chapter considers the limits imposed by the size and accuracy of the computer used in structural analysis and how they can be extended. This monograph will be of interest to structural engineers and students of engineering.


Matrix Methods

Matrix Methods

Author: Richard Bronson

Publisher: Academic Press

Published: 2014-05-10

Total Pages: 301

ISBN-13: 1483216616

DOWNLOAD EBOOK

Matrix Methods: An Introduction is a nine-chapter text that emphasizes the methodological aspects of mathematical matrices. This book is intended for an introductory course in matrices similar to those given to sophomore and junior engineering students at Fairleigh Dickinson University. The first five chapters deal with the elementary aspects of matrices, including their definition, determinants, method of inversion, simultaneous linear equations, eigenvalues, and eigenvectors. The remaining chapters explore the materials of fundamental importance to both engineers and scientists. These chapters discuss the principles of matrix calculus, linear differential equations, Jordan canonical forms, and special matrices. A set of exercises is provided at the end of each section, which is basically routine in nature and serves primarily to enhance the reader's ability to use the methods just presented. On occasion, problems are assigned that will extend or complete topics previously introduced. This book is intended primarily for science, engineering, and applied mathematics students.


Matrix Methods in the Design Analysis of Mechanisms and Multibody Systems

Matrix Methods in the Design Analysis of Mechanisms and Multibody Systems

Author: John J. Uicker

Publisher: Cambridge University Press

Published: 2013-04-15

Total Pages: 347

ISBN-13: 0521761093

DOWNLOAD EBOOK

This is an integrated approach to kinematic and dynamic analysis. The matrix techniques presented are general and applicable to two- or three-dimensional systems. The techniques lend themselves to programming and digital computation and can be a usable tool for designers, and are applicable to the design analysis of all multibody mechanical systems.


Fundamentals of Matrix-Analytic Methods

Fundamentals of Matrix-Analytic Methods

Author: Qi-Ming He

Publisher: Springer Science & Business Media

Published: 2013-08-13

Total Pages: 363

ISBN-13: 1461473306

DOWNLOAD EBOOK

Fundamentals of Matrix-Analytic Methods targets advanced-level students in mathematics, engineering and computer science. It focuses on the fundamental parts of Matrix-Analytic Methods, Phase-Type Distributions, Markovian arrival processes and Structured Markov chains and matrix geometric solutions. New materials and techniques are presented for the first time in research and engineering design. This book emphasizes stochastic modeling by offering probabilistic interpretation and constructive proofs for Matrix-Analytic Methods. Such an approach is especially useful for engineering analysis and design. Exercises and examples are provided throughout the book.