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Survey on Equivalent Continuum Modeling for Truss Structures and Their Nonlinear Dynamics and Vibration Control

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Abstract

Purpose

With the development of engineering structures towards the direction of large-scale, light-weight and multi-function, truss structures are utilized widely in the aerospace and civil sectors due to their outstanding advantages, e.g. light weight, large stiffness ratio and high packaging efficiency. Meanwhile, investigating the nonlinear dynamic mechanism and developing vibration control strategies for large space truss are of practical importance and give rise to interesting scientific issues.

Methods

Finite element method is a popular approach but brings great challenges to the nonlinear dynamic analysis and vibration controller design of truss structures due to the high degree of freedom of the full-scale finite element model. Therefore, the equivalent continuum modeling methodology becomes one of the most important developing trends to address these difficulties and is of high-efficiency especially for the nonlinear dynamic analysis.

Results

In the present paper, the research status about the equivalent continuum modeling of truss structures is sorted out including equivalent modeling methods (the energy equivalent method, the homogenization method, the displacement equivalent criterion, etc.) together with their advantages and drawbacks. Issues on static, dynamic, and buckling analyses of various structural styles (beamlike truss, platelike truss, hoop truss, etc.) with different connection joints are discussed.

Conclusions

More specifically, the research progresses on equivalent nonlinear continuum modeling and the design of vibration control law of the large truss structures are investigated, respectively, and the gap on the nonlinear analysis and vibration control is summarized for the existing researches. Additionally, comment, perspective and opportunity are proposed which could be valuable for the future developments of equivalent continuum modeling and vibration control of the large truss structures.

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Acknowledgements

This research was supported by the National Natural Science Foundation of China (Grant Nos. 11732005 and 12002298), National Key Research and Development Program of China (Grant No. 2020YFB1506702-03), and the Civil Aerospace Project (Grant No. D020213).

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Authors and Affiliations

  1. School of Astronautics, Harbin Institute of Technology, Harbin, 150001, People’s Republic of China

    Mei Liu & Dengqing Cao

  2. School of Electromechanical and Automotive Engineering, Yantai University, Yantai, 264005, People’s Republic of China

    Jin Wei

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  1. Mei Liu
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  2. Dengqing Cao
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Correspondence to Dengqing Cao.

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Liu, M., Cao, D. & Wei, J. Survey on Equivalent Continuum Modeling for Truss Structures and Their Nonlinear Dynamics and Vibration Control. J. Vib. Eng. Technol. 10, 667–687 (2022). https://doi.org/10.1007/s42417-021-00398-4

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