Substructure-Joint Based Approach to Damped FE Model Updating of Complex Assembly Structure

Abstract

Model updating techniques are used to update the finite element model of a structure, so that updated model can be predicted the dynamic behavior of an actual assembly structure more accurately. Most of the model updating techniques neglects damping and so amplitudes of vibration at resonance and antiresonance frequencies cannot be predicted by using of these updated models. In dynamic design of structures predicting of these properties is necessary. This paper presents a new technique to create an accurate finite element (FE) updated model of complex assembly structures consisting of substructures and real joint by considering damping of them. Given the fact that modal testing of real joints (such as bolt with some washers) are almost impossible. The updated model of assembly structure is obtained in four steps. In the first step, mass and stiffness matrix of substructures, joint and assembly structure are updated using modal data and Eigen-sensitivity approach. In the second step, damping of assembly structure is identified using complex modal data and updated mass and stiffness matrices which are obtained in first step. In the third step, the effect of damping of joint on frequency response functions (FRFs) extracted from updated model was shown. In the forth step, damping matrix of joint is updated by using FRF-based model updating method and finally damped updated model of assembly structure compared with measured data.

The investigation of the dynamic behaviour of a complex assembled structure using the frequency response function based substructuring method

“…Dynamic substructuring is a process which divides an assembled structure into subsystems which can be analyzed or tested individually and then combining them by an assembly procedure to predict the response of the build-up structure [1][2][3]. This method has been used to evaluate the dynamic behaviour of a large complex structure and to give possibility to combine the analytical with the experimental parts.…”