Abstract

In this paper, a method for the assembly of multi-domain substructures with general joints is proposed. Modal domain and physical domain substructures can be coupled in a unified framework. Specially, the physical domain substructures are represented using the impulse response functions of substructures. The modal domain substructures are generated using the Craig–Bampton method. With the introduction of general joints, complex connections like hybrid rigid-elastic or nonlinear connections are able to be considered. Meanwhile, only degree of freedoms directly associated with the joints are retained for the synthesis that makes this method quite suitable for local nonlinear structures. The validity of the proposed method is demonstrated by numerical examples. And the application to the dynamics of a practical lunar lander is provided. The results show that the proposed method possesses high precision and is quite efficient with the reduced substructures employed and a few joints degree of freedoms involved.

Highlights

  • In the area of aerospace and other engineering fields, the dynamic simulations of large systems become more and more crucial for the structural design and optimization

  • Dynamic substructuring (DS) techniques are effective for those issues, which divide the complex system into several simpler parts and synthesize those dynamic behaviors into the systemic behaviors

  • It can be concluded that proposed method perform excellent for the dynamics of the impulse response functions (IRFs) and finite element (FE) substructures coupled by general joints

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Summary

INTRODUCTION

In the area of aerospace and other engineering fields, the dynamic simulations of large systems become more and more crucial for the structural design and optimization. For DS methods, the structural dynamics can be described in three domains: the modal, frequency and physical domains.[1] Separately, three classes of DS methods are proposed in history: the component mode synthesis (CMS) methods,[2] the frequency based substructuring (FBS) methods,[3] and the impulse-based substructuring (IBS) methods.[4]. The practical substructures usually are assembled with joints which are semi-rigid or flexible,[19] and the stiffness or nonlinearity of the joints affects the dynamics strongly, especially for space structures.[20]. Based on these considerations above, we proposed a method for the assembly of IRFs, FE substructures and modal substructures with general joints.

CONCEPT OF IMPULSE BASED SUBSTRUCTURING METHODS
ASSEMBLY OF THE IRFS AND FINITE ELEMENT SUBSTRUCTURES WITH GENERAL JOINTS
Numerical scheme for assembled system with IRFs and FE substructures
The fixed-interface modes
The formulation for the assembly of IRFs and modal substructures
NUMERICAL EXAMPLES
Mass spring damping system
Lunar lander
CONCLUSIONS

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