Vibration and propagation phenomena. Volume 1 - Vibration phenomena. Volume 2 - Propagation phenomena

The work consists of three sections giving a fundamental and systematic treatment of vibrations in mechanical and electrical systems, Fourier analysis and nonlinear oscillations, and propagation of mechanical, acoustic, electromagnetic, and plasma waves. The section on vibrations is based almost entirely on the Lagrangian formulation, so that mechanical and electrical oscillations are regarded under the single aspect of energy. The various kinds of solutions to the wave equation are examined. Emphasis is on waves in fluids, with many problems being considered with the aid of the velocity potential of the acoustic field. The study of electromagnetic wave propagation emphasizes the relation between the velocity potential of an acoustic field and the electric potential, and brings out the similarity between propagation of an EM wave in a line and propagation of an acoustic wave in a pipe. A chapter on radiation from an antenna and on the fundamental wave phenomena in plasmas is also given.