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Differential Model and Impact Response of a Flexible Beam Attached to a Rigid Supporting Structure

Chandra, Harish

Abstract Details

2008, Master of Science, University of Akron, Mechanical Engineering.

Often electronic components such as laptops and cellular phones are dropped accidentally during usage and extensive damage is developed due to the impulsive force generated at the contact point. While external damage is easy to detect, internal damage to the electronic circuitry go undetected, yet may cause failure of the system. An accurate description of the impulsive force is necessary to understand the dynamics of the system. This research study involves development of a differential model of a flexible beam attached to a rigid supporting structure and studying its response due to impacts. An Euler Bernoulli beam theory is used to model the beam, and Routh’s graphical method for two dimensional impacts is used to calculate the impulse at the contact point. The dynamics of impact at the contact point is used to develop the boundary conditions and Galerkin’s approach is used to find an approximate solution. An example is presented in which the response due to drop at different angles of approach is studied. The position of the beam on the frame, the coefficient of friction and the coefficient of restitution are varied to see their influence on the beam response. Finally the influence of the boundary conditions on the stresses and strains developed in the beam is discussed

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Dr. D. Dane Quinn (Advisor)
Graham Kelly (Committee Member)
Tirumalai Srivatsan (Committee Member)
64 p.

Recommended Citations

Citations

  • Chandra, H. (2008). Differential Model and Impact Response of a Flexible Beam Attached to a Rigid Supporting Structure [Master's thesis, University of Akron]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=akron1207948250

    APA Style (7th edition)

  • Chandra, Harish. Differential Model and Impact Response of a Flexible Beam Attached to a Rigid Supporting Structure. 2008. University of Akron, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=akron1207948250.

    MLA Style (8th edition)

  • Chandra, Harish. "Differential Model and Impact Response of a Flexible Beam Attached to a Rigid Supporting Structure." Master's thesis, University of Akron, 2008. http://rave.ohiolink.edu/etdc/view?acc_num=akron1207948250

    Chicago Manual of Style (17th edition)