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ALTERNATING LONGITUDINAL WEDGED COULOMB FORCES MINIMIZE TRANSVERSE TUBE VIBRATIONS THROUGH NON-LINEAR COUPLING

Belagod, Trivikram Srinivasan
http://rave.ohiolink.edu/etdc/view?acc_num=case1250624800

Abstract Details

2009, Master of Sciences (Engineering), Case Western Reserve University, EMC - Mechanical Engineering.
The damping force and the self-excited force, which are a part of Heat Exchanger tube vibrations, act in the same (transverse) direction. The wedging process introduces alternating longitudinal coulomb forces that act at double the frequency of transverse vibrations and is defined by the wave equation. The transverse vibrations and the alternating longitudinal coulomb forces are coupled and act orthogonal to each other. Physical observations show that the transverse vibrations cannot exist without longitudinal vibrations. The governing constitutive equations for coupling can be shown theoretically through material non-linearities by considering higher order terms for the elastic energy, and geometric non-linearities by considering non-linear strain displacement relations. This non-linear constitutive equation when used in the equation of motion for transverse vibrations, the Gol’dberg tensorial result emerges. Energy reorganization due to this coupling results in reduced transverse vibration amplitudes. A simple experimental setup simulating this wedging process validates that transverse vibrations cannot occur without longitudinal vibrations.
Joseph Mansour (Advisor)
Winston Perera (Committee Co-Chair)
Vassilis Panoskaltsis (Advisor)
Joseph Prahl (Committee Member)
Roger Quinn (Committee Member)
92 p.
Engineering
heat exchanger; vibration; damping; self preloading; wedging; non linear coupling; heat exchanger tubes; transverse vibration; longitudinal vibration

Recommended Citations

Citations

  • Belagod, T. S. (2009). ALTERNATING LONGITUDINAL WEDGED COULOMB FORCES MINIMIZE TRANSVERSE TUBE VIBRATIONS THROUGH NON-LINEAR COUPLING [Master's thesis, Case Western Reserve University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=case1250624800

    APA Style (7th edition)

  • Belagod, Trivikram. ALTERNATING LONGITUDINAL WEDGED COULOMB FORCES MINIMIZE TRANSVERSE TUBE VIBRATIONS THROUGH NON-LINEAR COUPLING. 2009. Case Western Reserve University, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=case1250624800.

    MLA Style (8th edition)

  • Belagod, Trivikram. "ALTERNATING LONGITUDINAL WEDGED COULOMB FORCES MINIMIZE TRANSVERSE TUBE VIBRATIONS THROUGH NON-LINEAR COUPLING." Master's thesis, Case Western Reserve University, 2009. http://rave.ohiolink.edu/etdc/view?acc_num=case1250624800

    Chicago Manual of Style (17th edition)

case1250624800
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© 2009, some rights reserved.Creative Commons License ALTERNATING LONGITUDINAL WEDGED COULOMB FORCES MINIMIZE TRANSVERSE TUBE VIBRATIONS THROUGH NON-LINEAR COUPLING by Trivikram Srinivasan Belagod is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License. Based on a work at etd.ohiolink.edu.
This open access ETD is published by Case Western Reserve University School of Graduate Studies and OhioLINK.