Page 10 - Thomson, William Tyrrell-Theory of Vibration with Applications-Taylor _ Francis (2010)

This book is a revision of the 3rd edition of Theory of Vibration with Applications.
The major addition is Chapter 8, “Computational Methods,” which presents the
basic principles on which 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 disk.
The first four chapters, which 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 all 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,