Vibrational power flow from machines into built-up structures, part I: Introduction and approximate analyses of beam and plate-like foundations

Abstract

This is the first of three companion papers concerned with a unifying and novel approach to the vibration isolation of machines and power transmission mechanisms in substructures. The paper presents an introduction to power flow analysis techniques and a study of the simplification of practical structural analysis by use of the frequency response characteristics of an equivalent infinite structure. Beams and plates with force and torque excitation are studied and the resulting near and far field power flow mechanisms are examined. Principal results, which are in the form of very simple formulae, are tabulated and in particular it is shown that torque excitation can often be the dominant substructure power input mechanism from machines at high frequency.