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.

The Matrix Analysis of Vibration

Science & Math

Gladwell, G.M.L.

Bishop, R. E. D.

Michaelson, S.

Mathematics

Cambridge University Press

Vibration is a completely non-mathematical account of a subject of vital importance to engineers that is almost invariably discussed in mathematical terms. The description commences with an account of the nature of vibration and its effects on the human body and metals. This is followed by chapters on free vibration, forced vibration, self-excitation, the nature and effect of shocks, and finally an elementary introduction to non-linear vibrations. Many illustrations show the effect of vibration on structures and the methods employed by engineers to suppress unwelcome oscillations. In the second edition of Vibration, Professor Bishop has added two further sections. One is the behaviour of ships in waves and the other on the effects of transient vibration. This book will be of interest to students of mechanical, aeronautical and marine engineering. Its descriptive treatment makes the principles readily accessible to anyone who wants to know why mechanisms and structures fail when they are shaken and what can be done to prevent this happening.

Vibration

Engineering & Transportation

Engineering

<p>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.</p>

Computers & Technology

Computer Science

Originally published in 1960, the primary aim of this book was to give the reader an insight into the vibration characteristics of a machine or structure rather than to present them with a recipe for formal calculations. Within the text classical theory is developed by starting from the concept of steady forced motion and then introducing free motion as a limiting case. The concept of resistance or 'dynamic flexibility' is used throughout and provides a link between the treatment of very simple systems, multi-freedom systems with lumped parameters and infinite-freedom systems. It also provides a tool for breaking down complex problems into simpler parts. The mathematics will be understood by a student taking an honors course in engineering, and the book's primary purpose was to provide them with a background for their studies and with a path along which to advance for further work.

The Mechanics of Vibration

Johnson, D.C.

<p>Originally published in 1960, the primary aim of this book was to give the reader an insight into the vibration characteristics of a machine or structure rather than to present them with a recipe for formal calculations. Within the text classical theory is developed by starting from the concept of steady forced motion and then introducing free motion as a limiting case. The concept of resistance or 'dynamic flexibility' is used throughout and provides a link between the treatment of very simple systems, multi-freedom systems with lumped parameters and infinite-freedom systems. It also provides a tool for breaking down complex problems into simpler parts. The mathematics will be understood by a student taking an honors course in engineering, and the book's primary purpose was to provide them with a background for their studies and with a path along which to advance for further work.</p>

Physics

See the best price to sell, buy, or rent books by Bishop, R. E. D.. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by Bishop, R. E. D.

See the best price to sell, buy, or rent books by Bishop, R. E. D.. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

The Matrix Analysis of Vibration

Vibration

The Matrix Analysis of Vibration

The Mechanics of Vibration

Vibration

The Matrix Analysis of Vibration

Vibration

The Mechanics of Vibration