Green's Functions for Elastic Networks with Rigid Body Motion

Abstract

A procedure based on the theory of generalized functions is applied to the calculation of impulse response (Green's) functions of a structural network with rigid body motion. The system considered may be viewed as representation of certain large space structures and consists of torsional members with no shear and bending capacity, and Timoshenko beams with no torsional capacity. All members are rigidly connected at the network joints. Equations yielding impulse response functions are derived, and results of numerical calculations based on these equations are presented. The results confirm the practical feasibility of using the procedure for the calculation of impulse response functions for relatively complex structural networks.