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Formulation of a super-element for the dynamic problem of a cracked plate

✍ Scribed by Go, Cheer Germ ;Lin, Cheng I ;Lin, Yee Shown ;Wu, Shi Hong

Publisher: John Wiley and Sons
Year: 1998
Tongue: English
Weight: 173 KB
Volume: 14
Category: Article
ISSN: 1069-8299
DOI: 10.1002/(sici)1099-0887(199812)14:12<1143::aid-cnm215>3.0.co;2-j

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✦ Synopsis

On the formulation of a super-element for the dynamic problem of a cracked plate, a geometric series of similar elements is designed. This group of elements is generated layer by layer, approaching in®nitely small size around the point of singularity. The relations between similar elements for the stiness matrix and the mass matrix are established. The concept of matrix condensation is applied to formulate the superelement by using these relationships. This method presents a feasible approach to the solution of the cracked problem with an arbitrary order of stress singularity. The method is computationally economical.

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