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Analyzing and Exploiting the Dynamics of Complex Piecewise-Linear Nonlinear Systems

Tien, Meng-Hsuan
http://rave.ohiolink.edu/etdc/view?acc_num=osu1586039513469825

Abstract Details

2020, Doctor of Philosophy, Ohio State University, Mechanical Engineering.
Understanding and utilizing the dynamics of piecewise-linear (PWL) nonlinear systems are of crucial important for many engineered systems. These systems include complex mechanical/aerospace systems where intermittent contact significantly affects performance such as cracked/damaged structures and nonlinear energy harvesters. The research in this dissertation is focused on the development of efficient computational tools for analyzing and controlling the nonlinear dynamics of these systems. Current techniques are not able to effectively predict the full dynamics of complex PWL nonlinear systems due to the lack of computational efficiency and limited capability of current methods, and hence obstruct the development of new technologies. This dissertation has two main goals. First, a new class of effective techniques that enable the computation of the response of large PWL nonlinear systems is developed to analyze, monitor and control their dynamics. These methods utilize linear features in the PWL nonlinear systems and integrate them with numerical optimization tools to capture the nonlinear response of these systems. Both transient and steady-state dynamic responses can be analyzed with several orders of magnitudes speed-up compared to current techniques. The second goal of this dissertation is the application of the general methods in two engineering areas: (1) modeling the nonlinear dynamics of damaged/cracked structures and (2) the active control for optimized vibration performance of energy harvesters. The dynamic behavior of cracked engineering structures are investigated to advance the understanding of structural damage. A better understanding of changes in dynamics caused by structural damage could advance the development of damage monitoring techniques that prevent catastrophic failures of many systems. Also, the proposed techniques provides an efficient way to control the vibration of PWL nonlinear systems so that a more effective extraction of energy from vibration energy harvesters can be achieved through this research.
Kiran D'Souza (Advisor)
Manoj Srinivasan (Committee Member)
Ahmet Kahraman (Committee Member)
M.-H. Herman Shen (Committee Member)
161 p.
Mechanical Engineering
piecewise-linear nonlinearity, bilinear system, cracked structure, reduced-order modeling, hybrid symbolic-numeric computation, energy harvesting

Recommended Citations

Citations

  • Tien, M.-H. (2020). Analyzing and Exploiting the Dynamics of Complex Piecewise-Linear Nonlinear Systems [Doctoral dissertation, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1586039513469825

    APA Style (7th edition)

  • Tien, Meng-Hsuan. Analyzing and Exploiting the Dynamics of Complex Piecewise-Linear Nonlinear Systems. 2020. Ohio State University, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=osu1586039513469825.

    MLA Style (8th edition)

  • Tien, Meng-Hsuan. "Analyzing and Exploiting the Dynamics of Complex Piecewise-Linear Nonlinear Systems." Doctoral dissertation, Ohio State University, 2020. http://rave.ohiolink.edu/etdc/view?acc_num=osu1586039513469825

    Chicago Manual of Style (17th edition)

osu1586039513469825
457
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This open access ETD is published by The Ohio State University and OhioLINK.