Optimization of shallow Schwedler domes
Abstract
The paper deals with the optimization of regular space trusses with fixed external dimensions under uniform snow and dead-weight loading. Attempts are being made to find such a number of truss joints which minimise the material volume. The set of constraints imposed on a structure includes the effect of the loss of stability of the compressed bar. The statical problem of shallow domes including geometrical nonlinearity was solved by using the Newton-Raphson iteration procedure.
References
[1] J.H. Argyris. Recent advances in matrix methods of structural analysis. Pergamon Press, Oxford-London-New York-Paris, 1964.
[2] A.M. Brandt. Foundations of optimum design in civil engineering. PWN-Polish Scientific Publishers, Warszawa, Poland, Nijhoff Publishers, Dordrecht-Boston-London, 1989.
[3] E.J. Haug, J.S. Arora. Applied optimal design mechanical and structural system. A Wiley-Interscience Publication, John Wiley and Sons, New York-Chichester-Brisbane-Toronto, 1979.
[4] D.S. Jagannathan, H.J. Epstein, P. Christiano. Non-linear analysis of reticulated space truss. J. of the Structural Division, ASCE, ST12: 2641-2658, 1975.
[5] M. Kleiber. Incremental finite element modelling in non-linear solid mechanics. Polish Scientific Publishers, Warszawa, Poland, Ellis Horwood Limited, Chichester, England, 1989.
[2] A.M. Brandt. Foundations of optimum design in civil engineering. PWN-Polish Scientific Publishers, Warszawa, Poland, Nijhoff Publishers, Dordrecht-Boston-London, 1989.
[3] E.J. Haug, J.S. Arora. Applied optimal design mechanical and structural system. A Wiley-Interscience Publication, John Wiley and Sons, New York-Chichester-Brisbane-Toronto, 1979.
[4] D.S. Jagannathan, H.J. Epstein, P. Christiano. Non-linear analysis of reticulated space truss. J. of the Structural Division, ASCE, ST12: 2641-2658, 1975.
[5] M. Kleiber. Incremental finite element modelling in non-linear solid mechanics. Polish Scientific Publishers, Warszawa, Poland, Ellis Horwood Limited, Chichester, England, 1989.
Published
2023-07-13
Issue
pp. 205-213
Section
Articles
License
Copyright © The Author(s).
This work is licensed under the Creative Commons Attribution 4.0 International CC BY 4.0.
How to Cite
Duda, G. W. (2023). Optimization of shallow Schwedler domes. Computer Assisted Methods in Engineering and Science, 3(3), 205-213. https://cames3.ippt.pan.pl/index.php/cames/article/view/1441
