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contributor authorJun Zhao
contributor authorAbhinav Gupta
date accessioned2017-05-08T20:58:29Z
date available2017-05-08T20:58:29Z
date copyrightSeptember 2002
date issued2002
identifier other%28asce%290733-9445%282002%29128%3A9%281231%29.pdf
identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/33907
description abstractIt has been illustrated in the past that a modal synthesis gives incorrect modal properties and seismic response of nonclassically damped coupled systems when all the modes of uncoupled primary and secondary systems are not included. The effect of missing mass contained in the truncated high frequency modes can be represented using residual modal vectors. This paper illustrates two possibilities in which the residual modal matrix may contain redundant vectors leading to a breakdown of the originally proposed method. First, secondary systems with a support inclined to the primary system orthogonal connecting degrees of freedom can have residual vectors that are scalar multiple of each other (parallel). Second, the number of residual and nonrigid modal vectors can be more than the total number of secondary system modes (equal to the number of secondary system degrees of freedom) in multiply connected simple secondary systems. A solution is presented to identify and eliminate both these types of redundant vectors using an alternative form of Gram-Schmidt’s orthogonalization.
publisherAmerican Society of Civil Engineers
titleRedundancy in Residual Vectors for Missing Mass Effect in Coupled Modal Synthesis
typeJournal Paper
journal volume128
journal issue9
journal titleJournal of Structural Engineering
identifier doi10.1061/(ASCE)0733-9445(2002)128:9(1231)
treeJournal of Structural Engineering:;2002:;Volume ( 128 ):;issue: 009
contenttypeFulltext


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