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Technical Paper

Modeling Considerations in Use of Boundary Element Methods With Substructures

1984-04-01
840735
The boundary integral equation method (BIEM) of analysis was applied to problems involving beams, thick plates and stress concentration regions. Beam and plate problems were considered to provide guidelines for use of the three-dimensional BIEM to analyze brackets and other components which have “solid like” regions as well as regions which are “beam or plate like”. In unsubstructured form the BIEM produced results in excellent agreement with exact solutions from elasticity theory for plates with length/thickness ratios as large as 40. Loading cases included bending by terminal couples and flexure by terminal loads. Using substructuring, CP times were reduced. CP times for both the IBM 3084 and the CDC CYBER 205 were obtained, the influence of varying integration orders discussed, and techniques to assess the accuracy of computed results were described.
Technical Paper

Modeling Techniques Using Boundary Element Methods

1984-04-01
840762
The boundary integral equation method (BIEM) of analysis was applied to problems involving thick plates and stress concentration regions. In unsubstructured form the BIEM produced results in agreement with exact solutions from elasticity theory for plates with length/thickness ratios as large as 40, for the case of bending by terminal couples. Using substructuring, CP times were reduced. CP times for the CDC CYBER 205 were obtained, and the influence of varying integration orders was discussed. The BIEM was also found to produce accurate stress concentration factors for tension, bending and torsion of a stepped round bar with a circumferential shoulder fillet.
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