The Matrix Analysis of Vibration

Download or read book The Matrix Analysis of Vibration written by R. E. D. Bishop and published by Cambridge University Press. This book was released on 2008-11-24 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.