Free Vibration Analysis of a Multiple Layered Structure by the Transfer Influence Coefficient Method (1st Report, Formulation for the Discrete System)

This paper describes a general formulation for the in-plane flexural free vibration analysis of a multiple layered structure by the transfer influence coefficient method. The structure is modeled as a discrete system with lumped mass, lumped inertia moment, and massless linear and rotational springs. The present method does not require changing the fundamental algorithm, but necessitates only substituting appropriately large values into the corresponding spring constants when intermediate elastic supports are many and very stiff. Boundary conditions are also controlled by the spring constants. Amounts of arithmetic calculation are compared between the transfer influence coefficient method and the transfer matrix method. The occurrence mechanism and the simplified solution of false roots involved in the frequency equation are discussed in regard to the use of the bisection method.