Complex Behavior in the Dynamic Response of a Non-smoothly Forced Mechanical System: Numerical and Experimental Investigations

dc.contributor.advisor

Virgin, Lawrence N

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Kini, Ashwath Thukaram

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2013-12-26T19:01:15Z

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2014-12-21T05:30:03Z

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2013

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Mechanical Engineering and Materials Science

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This thesis describes the theoretical and experimental investigations on a non-smooth impacting system consisting of a forced oscillating mass with an impacting barrier, which has the ability to impart energy into the vibrating system. The system is also forced by the means of a sinusoidal excitation using a scotch yoke mechanism. Experiments are conducted to obtain the time delay state-space, time series and Poincare sections. Bifurcation diagrams are obtained by conducting forward and reverse frequency sweep. The obtained results are compared with expected linear non-impacting behavior and interesting phenomena including hysteresis, multiple-period orbits, transient and sustained chaos are observed. Numerical simulations were conducted and correlations were obtained between the theoretical and experimental results.

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https://hdl.handle.net/10161/8273

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Mechanical engineering

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Bifurcation diagram

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Frequency sweep

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Impact oscillator

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Nonlinear Dynamics

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Vibrations

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Complex Behavior in the Dynamic Response of a Non-smoothly Forced Mechanical System: Numerical and Experimental Investigations

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Master's thesis

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12

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