Modal Analysis of Complex Structures via a Sub-Structuring Approach

Subject Areas : vibration and control

Vahid  Heydari ¹ (Department of Mechanical Engineering, Najafabad Branch, Islamic Azad University, Najafabad, Iran)
Mohammd  Ahmadi Balootaki ² (Department of Mechanical Engineering, Shahid Nikbakht Faculty, University of Sistan and Baluchestan, Zahedan, Iran Faculty of Shahid Bahonar, Sistan and Baluchestan Branch, Technical and Vocational University (TVU), Zahedan, Iran.)
Mohammad  Orak ³ (Department of Mechanical Engineering, Najafabad Branch, Islamic Azad University, Najafabad, Iran)
Mehdi  Salehi ⁴ (Department of Mechanical Engineering, Najafabad Branch, Islamic Azad University, Najafabad, Iran)

Received: 2020-04-05 Accepted : 2020-09-02 Published : 2021-03-01

Keywords: Modal Analysis, Component Mode Synthesis, Substructures, Singular-Value Decomposition Method, Free Interface Method,

Abstract :

In this paper, the problems arising from determining the modal properties of large and complex structures are investigated. For this purpose, the free interface component mode synthesis method has been used. In the following, Singular-Value Decomposition (SVD) is applied as a powerful mathematical tool to determine the appropriate coordinates to participate in the coupling process. Also, the effective error resources including modal shear error and the continuous systems overlapping error and their solution are introduced. Initially, a discrete system has been employed to investigate the free interface component mode synthesis method. Eventually, the studied main samples in this research are beam, plate and cylindrical shell. It is worth noting that the application of this method on the cylindrical shell has not been observed in previous researches.

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