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Document Type
Thesis
Degree
Master of Science (MS)
Major/Program
Mechanical Engineering
First Advisor's Name
Igor Tsukanov
First Advisor's Committee Title
Assistant Professor
Second Advisor's Name
George S. Dulikravich
Second Advisor's Committee Title
Professor
Third Advisor's Name
Cesar Levy
Third Advisor's Committee Title
Department Chair and Professor
Keywords
meshfree, solution structure method, vibrations, structural dynamics, modal analysis, dynamic response, finite element method
Date of Defense
11-15-2013
Abstract
In this work, a pioneering application of the Solution Structure Method (SSM) for structural dynamics problems is presented. Vibration analysis is an important aspect of any design-analysis cycle for which reliable computational methods are required. Unlike many meshfree methods, SSM is capable of {\it exact treatment of all prescribed boundary conditions}. In addition, the method is capable of using basis functions which do not conform to the shape of the geometric model. Together, this defines an unprecedented geometric flexibility of the SSM.
This work focused on the development of numerical algorithms for 2D in-plane and 3D natural vibration analysis and 2D in-plane dynamic response. The convergence and numerical properties of the method were evaluated by comparing meshfree results with those obtained using traditional Finite Element Analysis implemented in Solidworks and ANSYS.
The numerical experiments presented in this work illustrate that the Solution Structure Method possesses good convergence and in some cases, such as geometries with partially fixed boundaries, this method converges much more rapidly than traditional FEA. Finally, in addition to complex boundary conditions, this method can easily handle complex geometries without losing favorable convergence properties.
Identifier
FI13121212
Recommended Citation
Kosta, Tomislav, "Meshfree Modeling of Vibrations of Mechanical Strctures" (2013). FIU Electronic Theses and Dissertations. 1032.
https://digitalcommons.fiu.edu/etd/1032
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