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Theory of Vibration With Applications 4th Edition – William Thomson

Theory of Vibration With Applications 4th Edition – William Thomson This book is arevision of the 3rd edition of Theory of Vibration with Appfications.

The major addition is Chapter 8, “Computational Methods,” wh ich presents the basic principles on wh ich most modern computer programs on vibration theory are developed. The new text is accompanied by a networked software for the PC to solve the vibration problems most frequently encountered. The programs greatly expand the range of problems that can be solved for numerical solution.

The author believes that problem solving is a vital part of the learning process and the reader should understand the computational process carried out by the computer. With this facility, the mass and stiffness matrices are inputed, and the lengthy calculations for the eigenvalues and eigenvectors are delegated to the computer.

Besides the new chapter on computer methods, the material in other chap­ ters is amplified and additional problems are introduced to take advantage of the computing programs offered by the computer disko  The first four chapters, wh ich deal with single-degree-of-freedom systems, needed very few changes, and the simple physical approach of the previous edition is maintained. An example on rotor balancing is introduced in Chapter 3, and the section on the shock spectrum and isolation is expanded in Chapter 4.

In Chapter 5, “Systems with Two or More Degrees of Freedom,” the importance of normal mode vibration is emphasized to demonstrate that a11 free vibrations are composed of normal mode vibrations and that the initial conditions play a determining influence in free vibrations. Forced vibrations are again presented in terms of the relationship of frequency ratio of forced to normal frequencies in the single degree of freedom response. The important application of  vibration absorbers and dampers is retained unchanged.

Chapter 6, “Properties of Vibrating Systems,” is completely rearranged for logical presentation. Stiffness of framed structures is again presented to bring out the introductory basics of the finite element method presented later in Chapter 10, and an example of static condensation for pinned joints is added. Orthogonality of eigenvectors and the modal matrix and its orthonormal form enable concise presentation of basic equations for the diagonal eigenvalue matrix that forms the basis for the computation of the eigenvalue-eigenvector problem. They also pro­ vide a background for the normal mode-summation method. The chapter con­ cIudes with modal damping and examples of equal roots and degenerate systems.

Chapter 7 presents the cIassic method of Lagrange, wh ich is associated with virtual work and generalized coordinates. Added to this chapter is the method of  assumed modes, which enables the determination of eigenvalues and eigenvectors  of continuous systems in terms of smaller equations of discrete system equations. The Lagrangian method offers an aIJ-encompassing view of the entire field of dynamics, a knowledge of which should be acquired by aIJ readers interested in a serious study of dynamics.

Chapter 8, “Computational Methods,” examines the basic methods of com­ putation that are utilized by the digital computer. Most engineering and science students today acquire knowledge of computers and programming in their fresh­ man year, and given the basic background for vibration calculation, they can easily foIJow computer programs for the calculation of eigenvalues and eigenvectors. Presented on the IBM computer disk are four basic Fortran programs that cover most of the calculations encountered in vibration problems. The source programs written as subroutines can be printed out by typing “.For” (for Fortran) after the file name; i.e., “ChoIjac .For”. The user needs only to input the mass and stiffness matrices and the printout will contain the eigenvalues and eigenvectors of the problem. Those wishing additional information can modify the command instruc­ tions preceding the computation.

Título: Theory of Vibration With Applications
Autor/es: William Thomson
Edición: 4th Edition
Tipo: Libro
Idioma: Español
Formato: PDF

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