ABSTRACT

In the analysis of linear systems, the mathematical procedure for obtaining the solutions to a given set of equations does not depend upon what physical system the equations represent. If the response of one physical system to a given excitation is determined, the responses of all other systems that can be described by the same set of equations are known for the same excitation function. Each junction in the mechanical system corresponds to a node, which joins electrical excitation sources and passive elements analogous to the mechanical driving sources and passive elements connected to the junction. Since electrical or electronic systems can be built up easily, it is easier to build such a system rather than build up a mechanical or hydraulic system for experimental studies. The ease of changing the parameters of electrical components, of connecting and disconnecting them in a circuit, and measuring the voltages and currents all prove invaluable in model construction and testing.