On the Analytic Disassembly of Structural Matrices

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Gordis, Joshua H.
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1997
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Abstract
The analytical dissasembly of global stiffness and mass matrices is examined. The conditions necessary for the unique disassembly of structural matrices are identified. The unique disassembly of global stiffness matrices is shown to be posssible for restricted structure topologies. The disassembly takes the form of a transformation which renders the global matrix blockdiagonal, where each block represents an exact reduced element matrix. It is shown that it is not possible to uniquely dissassemble a global mass matrix. Graph-theoretic concepts are used to interpret the disassembly transformation matrices. The disassembly of structural matrices has applications in system identification and damage detection.
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1997 IMAC XV - 15th International Modal Analysis Conference
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https://hdl.handle.net/10945/40346
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Mechanical Engineering
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This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.
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