Characterization of Nonlinear Material Damage Behavior Using Vibration Response Functions
Finite Element Method
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Publisher:The Ohio State University
Series/Report no.:The Ohio State University. Department of Mechanical and Aerospace Engineering Honors Theses; 2013
The presence of cracks and other forms of material damage in structures can alter mode shapes and cause reductions in natural frequencies depending on their orientation. Previous research has examined high density microscopic dislocation behavior in the cohesive region of a crack. This behavior has been characterized by quadratic nonlinearities and hysteresis on a microscopic level. Current studies are limited to small amounts of this nonlinear behavior. This thesis presents a time domain analysis of the nonlinear longitudinal forced vibration of an elastic bar using the Finite Element Method. This study extends the types of solutions in previous research to include stronger nonlinearities previously limited by frequency domain methods. This formulation can also be later extended to include more general and complex nonlinear mechanisms than possible when using frequency domain approaches.
Related Item:Academic Major: Mechanical Engineering
The Ohio State University
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