Composite structures integrated with viscoelastic materials are becoming more and more popular in the application of vibration suppression. This paper presents a comprehensive approach for analyzing this class of structures with an improved Burgers model, from material constitutive modeling, finite element formulation to solution method. The refined model consists of a spring component and multiple classical Burgers components in parallel, where the spring component converts the viscoelastic fluid model to a viscoelastic solid model and the multiple Burgers components increase the accuracy. Through the introduction of auxiliary coordinates, the model is applied to the finite element formulation of composites structures with viscoelastic materials. Consequently, a complicated Volterra integro-differential equation is transformed into a standard second-order differential equation and solution techniques for linear elastic structures can be directly used for elastic–viscoelastic composite structures. The improved Burgers model is a second-order mini-oscillator model, in which every mini-oscillator term has four parameters. The model parameters determination is performed by optimization algorithm. By comparison of model fitting results for a typical viscoelastic material, the refined model is better in accuracy than Golla–Hughes–McTavish (GHM) model and original Burgers model. Finally, several numerical examples are presented to further verify the effectiveness of the improved Burgers model.
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June 2018
Research-Article
Elastic–Viscoelastic Composite Structures Analysis With an Improved Burgers Model
Shanhong Ren,
Shanhong Ren
Department of Engineering Mechanics,
State Key Laboratory of Structural Analysis for
Industrial Equipment,
Dalian University of Technology,
Dalian 116024, China
State Key Laboratory of Structural Analysis for
Industrial Equipment,
Dalian University of Technology,
Dalian 116024, China
Search for other works by this author on:
Guozhong Zhao,
Guozhong Zhao
Department of Engineering Mechanics,
State Key Laboratory of Structural Analysis for
Industrial Equipment,
Dalian University of Technology,
Dalian 116024, China
e-mail: zhaogz@dlut.edu.cn
State Key Laboratory of Structural Analysis for
Industrial Equipment,
Dalian University of Technology,
Dalian 116024, China
e-mail: zhaogz@dlut.edu.cn
Search for other works by this author on:
Shunqi Zhang
Shunqi Zhang
Department of Engineering Mechanics,
State Key Laboratory of Structural Analysis for
Industrial Equipment,
Dalian University of Technology,
Dalian 116024, China;
School of Mechatronic Engineering
and Automation,
Shanghai University,
Shanghai 200444, China
State Key Laboratory of Structural Analysis for
Industrial Equipment,
Dalian University of Technology,
Dalian 116024, China;
School of Mechatronic Engineering
and Automation,
Shanghai University,
Shanghai 200444, China
Search for other works by this author on:
Shanhong Ren
Department of Engineering Mechanics,
State Key Laboratory of Structural Analysis for
Industrial Equipment,
Dalian University of Technology,
Dalian 116024, China
State Key Laboratory of Structural Analysis for
Industrial Equipment,
Dalian University of Technology,
Dalian 116024, China
Guozhong Zhao
Department of Engineering Mechanics,
State Key Laboratory of Structural Analysis for
Industrial Equipment,
Dalian University of Technology,
Dalian 116024, China
e-mail: zhaogz@dlut.edu.cn
State Key Laboratory of Structural Analysis for
Industrial Equipment,
Dalian University of Technology,
Dalian 116024, China
e-mail: zhaogz@dlut.edu.cn
Shunqi Zhang
Department of Engineering Mechanics,
State Key Laboratory of Structural Analysis for
Industrial Equipment,
Dalian University of Technology,
Dalian 116024, China;
School of Mechatronic Engineering
and Automation,
Shanghai University,
Shanghai 200444, China
State Key Laboratory of Structural Analysis for
Industrial Equipment,
Dalian University of Technology,
Dalian 116024, China;
School of Mechatronic Engineering
and Automation,
Shanghai University,
Shanghai 200444, China
1Corresponding author.
Contributed by the Technical Committee on Vibration and Sound of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received March 21, 2017; final manuscript received January 1, 2018; published online January 25, 2018. Assoc. Editor: John Judge.
J. Vib. Acoust. Jun 2018, 140(3): 031006 (10 pages)
Published Online: January 25, 2018
Article history
Received:
March 21, 2017
Revised:
January 1, 2018
Citation
Ren, S., Zhao, G., and Zhang, S. (January 25, 2018). "Elastic–Viscoelastic Composite Structures Analysis With an Improved Burgers Model." ASME. J. Vib. Acoust. June 2018; 140(3): 031006. https://doi.org/10.1115/1.4038906
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