Modal recovery methods for solution of fluid-structure problems with rigid wall loads

Belytschko, Ted; Lin, Jerry I.; Tsay, Chen-Shyh

doi:10.1016/0029-5493(82)90170-4

Cited by 4 publications

(3 citation statements)

References 13 publications

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“…The method used here has been described in [2] and analyzed in [4], The method's outline is as follows:…”

Section: Modal Recovery Proceduresmentioning

confidence: 99%

“…The matrix R, the interaction matrix, is given on an element level by (4) where N p and N" are the shape functions for the pressure field and displacements in the structure, respectively.…”

Section: Equations For Coupled Fluid-piping Problemmentioning

confidence: 99%

“…Schwirian and Karabin [2] and Belytschko, et al [4] have recently presented a method in which a model consisting entirely of structural elements can be used to recover the acoustic-structure interaction effect in a model in which the "rigid wall forces," (the output from a fluid solution), are applied to elbows, tapers, and T-sections. The method is simple, accurate and easily adapted to existing general purpose programs for structures.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Fluid-Structure Interaction in Waterhammer Response of Flexible Piping

Belytschko¹,

Karabin

Lin³

1986

Journal of Pressure Vessel Technology

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In the waterhammer analysis of piping systems, incompressible (or added mass) representations are generally used in computing the response of the piping. It is shown that this procedure is not necessarily conservative, particularly for thinwalled, flexible piping systems, and that fully coupled fluid-structure solutions can predict higher loads and stresses. A modal recovery procedure which easily permits the representation on the acoustic effects of the fluid to be included in a structural model is also presented. Results are given for both simple models and a piping system from an LMFBR design.

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“…The method used here has been described in [2] and analyzed in [4], The method's outline is as follows:…”

Section: Modal Recovery Proceduresmentioning

confidence: 99%

“…The matrix R, the interaction matrix, is given on an element level by (4) where N p and N" are the shape functions for the pressure field and displacements in the structure, respectively.…”

Section: Equations For Coupled Fluid-piping Problemmentioning

confidence: 99%