Free Vibration Analysis of a Multiple Layered Structure by the Transfer Influence Coefficient Method (3rd Report, Formulation for the Distributed Mass System)

This paper describes the 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 distributed mass system with lumped masses and lumped inertia moments, and massless linear and rotational springs. The present method does not require a change of 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 easily controlled by the spring constants. Some devices are taken for high calculation accuracy and calculation speed. The occurrence mechanism and the simplified elimination of false roots involved in the frequency equation are discussed in the use of the bisection method.