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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 14
Edited by: B.H.V. Topping and A.I. Khan
Paper XIII.3

Efficient Parallel Solution of Non-Linear Structural Eigenvalue Problems

W.J. Watkins, D. Kennedy and F.W. Williams

Division of Structural Engineering, School of Engineering, University of Wales College of Cardiff, Cardiff, Wales

Full Bibliographic Reference for this paper
W.J. Watkins, D. Kennedy, F.W. Williams, "Efficient Parallel Solution of Non-Linear Structural Eigenvalue Problems", in B.H.V. Topping, A.I. Khan, (Editors), "Information Technology for Civil & Structural Engineers", Civil-Comp Press, Edinburgh, UK, pp 235-244, 1993. doi:10.4203/ccp.14.13.3
An efficient parallelisation of an existing sequential method for obtaining the eigenvalues of a structure by an exact analytical procedure is presented. Results. are given which illustrate finding the undamped natural frequencies of a rigidly jointed plane frame, but the method is also applicable to buckling problems and to other types of structure. The parallel method is suited to both distributed and shared memory parallel machines. It seeks to equate the work load of each processor (node) by initially sharing out the work and by subsequently passing work from working nodes to idle nodes. Experimental runs on an nCUBE2 computer show that reasonably high levels of efficiency are possible.

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