Abstract

Abstract This study investigates the free vibration characteristics of an adhesively bonded double-strap joint with viscoelastic adhesive layer. To simplify the spatial finite element mesh generation and efficiently model the adhesively bonded joint, a layerwise plate finite element was extended to accommodate to the modeling of the joint, where the joint structure is treated as a special sandwich laminate. The proposed method was validated by three-dimensional finite element analysis and then applied to generate sampling points for training artificial neural networks (ANNs). The effects of the adhesive material properties and joint geometrical parameters on the joint dynamic characteristics were investigated in detail using the trained ANNs. The optimum design problem is defined as a multi-objective optimization problem considering maximizing the first natural frequency and corresponding loss factor while minimizing the total structural weight. The nondominated sorting genetic algorithm combined with the ANNs were employed to tackle the problem. The proposed method provides a computationally efficient alternative for analyzing and optimizing the adhesive double-strap joints.

Highlights

  • Bonded joints are widely used in various industrial fields consisting of manufacture, aerospace, marine, automotive and civil structures

  • The first ten natural frequencies and corresponding loss factors obtained by finite element methods (FEM) and the proposed layerwise element model are listed in Table 1, from which we find that the joint tends to bending modes, and the lateral modes are relatively rare, for five bending modes and three torsional modes occur but only two lateral modes exist in the first ten modes

  • The model was validated by three-dimensional solid finite element model

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Summary

INTRODUCTION

Bonded joints are widely used in various industrial fields consisting of manufacture, aerospace, marine, automotive and civil structures. The investigation for the joint vibration properties have been performed by many researchers using analytical equations, experimental tests and finite element analysis. He and Rao (1992a, 1992b) and Rao and He (1992a, 1992b) derived the governing equations of motion using energy method and Hamilton’s principle to investigate the longitudinal and transverse dynamic responses of single-lap and double-strap joints bonded by viscoelastic adhesive. He and Oyadiji (2001) applied FEM to investigate the effects of adhesive material properties on the transverse free vibration characteristics of single-lap cantilevered beams. The model was subsequently applied to generate sampling points for training ANNs. With aid of the trained ANNs, parametric investigations considering the effects of the adhesive material properties and joint geometrical parameters on the vibration characteristics were performed. The proposed method provides a computationally efficient alternative for analyzing and optimizing the adhesive double-strap joint

Plate layerwise formulation
Strain and stress fields
Potential and kinetic energy
Equivalent boundary conditions
Validation
ANN model
Parametric investigation
Optimization results
CONCLUSION
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