Abstract

Classical component mode synthesis methods for reduction are usually limited by the size and compatibility of the coupling interfaces. A component mode synthesis approach with constrained coupling interfaces is presented for vibro-acoustic modelling. The coupling interfaces are constrained to six displacement degrees of freedom. These degrees of freedom represent rigid interface translations and rotations respectively, retaining an undeformed interface shape. This formulation is proposed for structures with coupling between softer and stiffer substructures in which the displacement is chiefly governed by the stiffer substructure. Such may be the case for the rubber-bushing/linking arm assembly in a vehicle suspension system. The presented approach has the potential to significantly reduce the modelling size of such structures, compared with classical component mode synthesis which would be limited by the modelling size of the interfaces. The approach also eliminates problems of nonconforming meshes in the interfaces since only translation directions, rotation axes and the rotation point need to be common for the coupled substructures. Simulation results show that the approach can be used for modelling of systems that resemble a vehicle suspension. It is shown for a test case that adequate engineering accuracy can be achieved when the stiffness properties of the connecting parts are within the expected range of rubber connected to steel.

Highlights

  • Developing a vehicle design is a multidisciplinary process, in which a broad range of requirements must be satisfied

  • The question is whether the approach with the undeformed coupling interface (UCI) may be used for vibro-acoustic modelling of built up substructures of fundamentally different stiffnesses

  • The properties of this test case are chosen to resemble the vibro-acoustic problem of a triangular linking arm in a vehicle suspension system, the linking arm often being connected to the stiff vehicle body in three positions via rubber bushings

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Summary

Introduction

Developing a vehicle design is a multidisciplinary process, in which a broad range of requirements must be satisfied. Lindberg et al / Component mode synthesis using undeformed interface coupling modes to connect soft and stiff substructures experimental transfer path analysis (TPA) This method is considered to be one of the most important tools for analysing transfer paths in complex structures such as the suspension system of a vehicle [3]. The displacement of the interface can be described by the six rigid “body” motions (three orthogonal spatial directions and the three rotations around these axes) [18,19,20] This formulation allows for a substantial reduction of the original problem and completely eliminates the problem of non-conforming meshes, since only a conforming coordinate system is needed when generating the undeformed interface displacement functions.

Theory
General problem
Change of basis
Coupling modes
Coupling of structures
Test structure
Vibro-acoustic response
Evaluation of the approach
Application
Conclusions
Full Text
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