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Graph theory approach to the eigenvalue problem of large space structuresGraph theory is used to obtain numerical solutions to eigenvalue problems of large space structures (LSS) characterized by a state vector of large dimensions. The LSS are considered as large, flexible systems requiring both orientation and surface shape control. Graphic interpretation of the determinant of a matrix is employed to reduce a higher dimensional matrix into combinations of smaller dimensional sub-matrices. The reduction is implemented by means of a Boolean equivalent of the original matrices formulated to obtain smaller dimensional equivalents of the original numerical matrix. Computation time becomes less and more accurate solutions are possible. An example is provided in the form of a free-free square plate. Linearized system equations and numerical values of a stiffness matrix are presented, featuring a state vector with 16 components.
Document ID
19820064712
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Reddy, A. S. S. R.
(Howard Univ. Washington, DC, United States)
Bainum, P. M.
(Howard University Washington, DC, United States)
Date Acquired
August 10, 2013
Publication Date
June 1, 1981
Subject Category
Spacecraft Design, Testing And Performance
Meeting Information
Meeting: Symposium on Dynamics and Control of Large Flexible Spacecraft
Location: Blacksburg, VA
Start Date: June 15, 1981
End Date: June 17, 1981
Sponsors: Virginia Polytechnic Institute and State University and American Institute of Aeronautics and Astronautics
Accession Number
82A48247
Funding Number(s)
CONTRACT_GRANT: NSG-1414
Distribution Limits
Public
Copyright
Other

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