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Dynamic Characterization and Active Modification of Viscoelastic Materials

Zhao, Sihong
http://rave.ohiolink.edu/etdc/view?acc_num=muhonors1303742497

Abstract Details

2011, Bachelor of Science, Miami University, School of Engineering and Applied Science - Mechanical Engineering.
The viscoelastic material models are often frequency dependent hence the dynamic behavior of such materials is characterized by the associated non-linear eigenvalue problems. Traditionally these eigenvalue problems are formulated in state-space form via first order realization of the frequency domain equations to time domain. However, such transformation leads to a large matrix eigenvalue problem, which depends upon number of internal parameters used for approximating the material behavior, and hence they can be computationally expensive. Moreover, the state-space formulation does not provide physical insight of the original coordinates which may be used for measurement and control purposes. In this research, it is shown that by solving the associated transcendental eigenvalue problems, these frequency dependent eigenvalue problems can be solved without state-space realization. With a few numerical examples, the eigenvalues computed by the proposed method are compared with those obtained in the traditional state-space methods. By preserving the dynamics behavior in the frequency domain, it is also shown that the physical parameters (especially damping and stiffness) of the material can be modified by active means (active control). Such modification utilizes frequency response receptance functions, which may be extracted during dynamic experiments. Active modification strategy may be used to alter the material behavior during its operation and may be instrumental in developing more advanced viscoelastic materials.
Kumar Singh, PhD (Advisor)
Fazeel Khan (Committee Member)
Jeong-Hoi Koo (Committee Member)
Materials Science; Mechanical Engineering
viscoelastic materials; transcendental eigenvalue problems; state-space formulation; dynamic characterization; active modification

Recommended Citations

Citations

  • Zhao, S. (2011). Dynamic Characterization and Active Modification of Viscoelastic Materials [Undergraduate thesis, Miami University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=muhonors1303742497

    APA Style (7th edition)

  • Zhao, Sihong. Dynamic Characterization and Active Modification of Viscoelastic Materials. 2011. Miami University, Undergraduate thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=muhonors1303742497.

    MLA Style (8th edition)

  • Zhao, Sihong. "Dynamic Characterization and Active Modification of Viscoelastic Materials." Undergraduate thesis, Miami University, 2011. http://rave.ohiolink.edu/etdc/view?acc_num=muhonors1303742497

    Chicago Manual of Style (17th edition)

muhonors1303742497
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© 2011, all rights reserved.
This open access ETD is published by Miami University Honors Theses and OhioLINK.