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Structural optimisation by an impulse response method

Published online by Cambridge University Press:  04 July 2016

N. W. Bellamy
Affiliation:
Department of Electrical Engineering, Lanchester Polytechnic, Coventry
M. J. West
Affiliation:
Department of Electrical Engineering, Lanchester Polytechnic, Coventry

Extract

Two papers by Dixon described a digital computing technique for the structural optimisation of a cantilever beam. This technique applied Pontryagin's Principle to the problem, and computation was effected using a modified Kutta-Simpson integration technique and the Rosenbrock hill-climbing method. Dixon's second paper, in which he revised his earlier work, cited the hybrid solutions of the authors for comparison with his own results. This comparison of the results obtained from the digital and hybrid methods showed a slight, but significant, difference which indicated the need for further verification.

Type
Technical notes
Copyright
Copyright © Royal Aeronautical Society 1974 

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References

1. Dixon, L. C. W. Pontryagin's maximum principle applied to the profile of a beam. Aeronautical Journal of the Royal Aeronautical Society, Vol 71, pp 513-5, July 1967.Google Scholar
2. Dixon, L. C. W. Further comments on Pontryagin's maximum principle applied to the profile of a beam. Aeronautical Journal of the Royal Aeronautical Society, Vol 72, pp 518-9, June 1968.Google Scholar
3. Bellamy, N. W. and West, M. J. Methods of profile optimisation by iterative analogue computation. Computer Journal, Vol 12, No 2, pp 132138, May 1969.Google Scholar
4. Boykin, W. H. and Sierakowski, R. L. Remarks on Pontryagin's maximum principle applied to a structural optimisation problem. Aeronautical Journal of the Royal Aeronautical Society, Vol 76, pp 175-6, March 1972.Google Scholar
5. Wingrove, and Raby, . Trajectory optimisation using fast-time repetitive computation. Proceedings of the AFIPS Fall Joint Computer Conference, pp 799808, 1966.Google Scholar
6. Fogarty, and Howe, . Trajectory optimisation by a direct descent process. Proceedings of the XVIII International Astronautical Congress (Belgrade), pp 233254, 1967.Google Scholar