This monograph presents an introduction to Harmonic Balance for nonlinear vibration problems, covering the theoretical basis, its application to mechanical systems, and its computational implementation. Harmonic Balance is an approximation method for the computation of periodic solutions of nonlinear ordinary and differential-algebraic equations. It outperforms numerical forward integration in terms of computational efficiency often by several orders of magnitude. The method is widely used in the analysis of nonlinear systems, including structures, fluids and electric circuits. The book includes solved exercises which illustrate the advantages of Harmonic Balance over alternative methods as well as its limitations. The target audience primarily comprises graduate and post-graduate students, but the book may also be beneficial for research experts and practitioners in industry.

Ashton presents a short, illustrated introduction to the evolution of simple harmonic theory. Illustrations.

An ideal text for advanced undergraduates, the book provides the foundations needed to understand the acoustics of rooms and musical instruments as well as the basics for scientists and engineers interested in noise and vibration. The new edition contains four new chapters devoted primarily to applications of acoustical principles in everyday life: Microphones and Other Transducers, Sound in Concert Halls and Studios, Sound and Noise Outdoors; and Underwater Sound.

Lissajous Figures are produced by combining two oscillations at right angles to each other. The figures, drawn by mechanical devices called Harmonographs, have scientific uses, but are also enjoyed for their own beauty. The author has been working with harmonographs since his undergraduate days, has built several of them, lectured about them and has written articles about them. This book is intended for people who enjoy physics or art or both. Certainly physics professionals, both students and faculty members, will enjoy reading about an interesting byway of physics. The book is mainly designed for the reader who has some scientific literacy, but who may not be a scientist. If your mathematics is rusty, a preliminary section on mathematics supplies the necessary background for reading the rest of the book.