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035 _a.b10028730
099 9 _aAIT Thesis no. ST-81-21
100 1 _aWidjaja, Joko Harsono
245 1 2 _aA dynamic frontal scheme for eigensolutions of large structural systems
260 _aBangkok :
_bAsian Institute of Technology,
_c1981
300 _av, 59 p.
490 1 _aThesis ;
_vno. ST-81-21
500 _aA thesis submitted in partial fulfillment of the requirements for the degree of Master of Engineering, School of Engineering and Technology
502 _aThesis (M.Eng.) - Asian Institute of Technology, 1981
520 _aA numerical method for extracting eigen solutions associated with lower modes of large structural systems is developed , with an aim to alleviate storage requirement. Dynamic frontal scheme is proposed to identify dynamically inactive degrees-of-freedom by means of a ' cut-off slave eigenvalue'. These degrees-of-freedom will be treated as being slave to a few active ones. Guyan method is employed at this stage to obtain the first approximation to eigen solutions for the condensed system. Subsequently, a respective Guyan eigenvalue can be used to form t he frequency-dependent transformation matrix for upgrading the condensed system for a particular mode , This condensed system will be solved by inverse iterations taking the Guyan eigen-value as the initial shift and its associated eigenvector as initial vector. The cycle of condensed system upgrading and inverse iterations will be repeated with updated shift until the improved eigen solution converges. Several numerical examples are presented to show the validity and effectiveness of the method. As only a few lower modes of large structural systems are considered in common practice, this method should be very attractive, especially when the computer storage is limited.
650 0 _aStructures, Theory of
_xMatrix methods
650 0 _aEigenvalues
700 0 _aWorsak Kanok-Nukulchai,
_eChairperson
700 1 _aKarasudhi, Pisidhi,
_eExamination Committee
700 1 _aWireland, Martin,
_eExamination Committee
710 2 _aLee Foundation, Singapore,
_eScholarship Donor
810 2 _aAsian Institute of Technology.
_tThesis ;
_vno. ST-81-21
856 _3Full-Text
_uhttp://203.159.5.9/ait-thesis/detail.php?q=B21766
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