Free Vibration Analysis of a Multiple Straight Line Structure Regarded as a Discrete System by the Transfer Influence Coefficient Method

Abstract

This describes a formulation for the in-plane flexural free vibration analysis of primarily a double straight line structure by the transfer influence coefficient method. The structure is modeled as a discrete system with lumped masses, lumped inertia moments, and massless linear and rotational springs. The present method does not require any change in the fundamental algorithm, but necessitates only substitution of appropriately large values into the corresponding spring constants when intermediate elastic supports are numerous and very stiff. The boundary conditions are also controlled by the values of the spring constants. The results of the simple numerical computational examples on a personal computer demonstrate the validity of the present algorithm; that is, the numerical high accuracy, the high speed and the flexibility for programming of the transfer influence coefficient method, compared with the transfer matrix method.