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Exploitation of Nonlinear Dynamics of Buckled Beams

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2015, Master of Science, Miami University, Mechanical and Manufacturing Engineering.
Axially-loaded structures play an integral role in engineering design. Some of these structures exhibit nonlinear response behavior under harmonic loading. Methods aimed at eliminating these behaviors are often employed in design. The question, however, arises: are there any beneficial behaviors that are unknowingly being eliminated? If so, can the nonlinear dynamics be exploited for design benefits? Our hypothesis is that the nonlinear dynamics can be used to optimize system response characteristics. In this thesis, the dynamic behavior of straight and buckled beams under harmonic excitation is considered. Beam models with various sources of nonlinearity are presented and numerical methods are employed to simulate system responses. An optimization approach is formulated that achieves maximized, periodic, and stable responses of the beam systems. Case studies are presented that demonstrate the ability, efficiency and robustness of the optimization approach to exploit the nonlinear dynamics to achieve desired responses.
Amit Shukla, Ph.D. (Advisor)
Timothy Cameron, Ph.D. (Committee Member)
Kumar Singh, Ph.D. (Committee Member)
William Olson (Committee Member)
124 p.

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Citations

  • Wilson, J. M. (2015). Exploitation of Nonlinear Dynamics of Buckled Beams [Master's thesis, Miami University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=miami1448374236

    APA Style (7th edition)

  • Wilson, James. Exploitation of Nonlinear Dynamics of Buckled Beams. 2015. Miami University, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=miami1448374236.

    MLA Style (8th edition)

  • Wilson, James. "Exploitation of Nonlinear Dynamics of Buckled Beams." Master's thesis, Miami University, 2015. http://rave.ohiolink.edu/etdc/view?acc_num=miami1448374236

    Chicago Manual of Style (17th edition)