Reformulation of Frequency Based Substructuring Method Considering Elastic Joints According to Sherman-Morrison-Woodbury Formula

Jiangpan Chen ,Ben Zhong Tang ,Yan Liu ,Weiwen Zhang ,Yi Liu ,Limin Sun

doi:10.17559/tv-20200309123428

Abstract

Reformulation of Frequency Based Substructuring Method Considering Elastic Joints According to Sherman-Morrison-Woodbury Formula

Highlights

In pace with the rapid development of science and technology, the engineering structure, such as aircraft and spacecraft, is becoming increasingly complicated
Via using none-mass spatial beam element to simulate the dynamic properties of elastic joints, the performance of the reformulated FBSM-CEJ is verified through numerical simulation
The remainder of this article proceeds as follows: section 2 briefly introduces the existing FBSM-CEJ; section 3 demonstrates the reformulation of FBSM-CEJ according to Sherman-Morrison-Woodbury Formula (SMWF), and indexes the advantages of the reformulated FBSM-CEJ; section 4 describes the use of non-mass spatial beam element to simulate the elastic joints; section 5 validates the reformulated FBSM-CEJ through numerical simulation; section 6 summarizes the paper and states the conclusions drawn from this work; section 7 lists the references

Summary

INTRODUCTION

In pace with the rapid development of science and technology, the engineering structure, such as aircraft and spacecraft, is becoming increasingly complicated. In references [3, 4, 10] and [14], 6-DOFs scalar spring system was employed to Jiangpan CHEN et al.: Reformulation of Frequency Based Substructuring Method Considering Elastic Joints According to Sherman-Morrison-Woodbury Formula simulate the elastic joints for investigating the FBSM-CEJ. With regard to this simulation method, the stiffness coupling between DOF of the elastic joints node was not taken into consideration, which is quite different from the elastic joints in actual engineering. The remainder of this article proceeds as follows: section 2 briefly introduces the existing FBSM-CEJ; section 3 demonstrates the reformulation of FBSM-CEJ according to SMWF, and indexes the advantages of the reformulated FBSM-CEJ; section 4 describes the use of non-mass spatial beam element to simulate the elastic joints; section 5 validates the reformulated FBSM-CEJ through numerical simulation; section 6 summarizes the paper and states the conclusions drawn from this work; section 7 lists the references

BRIEF INTRODUCTION OF EXISTING FBSM-CEJ

REFORMULATION OF THE FBSM-CEJ

SIMULATION METHOD OF ELASTIC JOINTS

NUMERICAL SIMULATION

CONCLUSIONS