Abstract
This paper is concerned with the shape optimization problems of truss structures based on the element and system reliabilities. The algorithmic procedure is proposed for determining the optimum configuration and size of members which minimize the structural weight under the constraints on the failure probabilities of the members. Numerical examples are provided to demonstrate the basic properties of the reliability based optimum design problem and the validity of the proposed method.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
J. Drymael, ‘The Design of Trusses and Its Influence on Weight and Stiffness’, J. Royal Aeronautical Society, 46 (1942), pp. 297–308.
W. C. Dorn, R. E. Gormory and H. J. Greenberg, ‘Automatic Design of Optimal Structures’, J. Mec, 3, 1 (1964), pp. 25–52.
M. W. Dobbs and L. P. Felton, ‘Optimization of Truss Geometry’, J. Struct. Div., ASCE, 95, ST10 (1969), pp. 2105–2118.
J. M. Chern and W. Prager, ‘Minimum-Weight Design of Statically Determinate Trusses Subject to Multiple Constraints’, Int. J. Solids Structures, 7 (1971), pp. 931–940.
P. Pedersen, ‘On the Optimal Layout of Multi-Purpose Trusses’, Comput. Struct., 2 (1972), pp. 695–712.
G. N. Vanderplaats and F. Moses, ‘Automated Design of Trusses for Optimum Geometry’, J. Struct. Div., ASCE, 98, ST3 (1972), pp. 671–690.
D. J. Sheppard and A. C. Palmer, ‘Optimal Design of Transmission Towers by Dynamic Programming’, Comput. Struct., 2 (1972), pp. 455–468.
C. Y. Sheu and L. A. Schmit, ‘Minimum Weight Design of Elastic Redundant Trusses under Multiple Static Loading Conditions’, AIAA J, 10 (1972), pp. 155–162.
W. S. Hemp, Optimum Structures, Oxford University Press (1973).
W. R. Spillers, ‘Iterative Design for Optimal Geometry’, J. Struct. Div, ASCE, 101, ST7 (1975), pp. 1435–1442.
M. P. Saka, ‘Shape Optimization of Trusses’, J. Struct. Div., ASCE, 106, ST5 (1980), pp. 1155–1173.
Y. Seguchi, Y. Tomita and M. Iwasaki, ‘Optimum Design of Frame Structures (in Japanese)’, Trans, of JSME, 43, 374 (1977), pp. 3769–3772.
K. Yamazaki and J. Oda, ‘Optimum Layout of Truss Structures by Finite Element Method (in Japanese)’, Trans, of JSME, A, 46, 411 (1980), pp. 1230–1236.
U. Kirsch, Optimum Structural Design, McGraw Hill (1981).
M. Yonezawa, Y. Murotsu, F. Oba and K. Niwa, ‘Optimum Reliability and Structures in Reliability-Based Design’, Archives of Mechanics,’ 30, 3 (1978), pp. 227–241.
N. Shiraishi and H. Furuta, ‘On Geometry of Truss’, Memoirs of the Faculty of Engineering, Kyoto University, XLI, 4 (1979), pp. 498–517.
P. Thoft-Christensen and Y. Murotsu, Application of Structural Systems Reliability Theory, Springer Verlag (1986).
P. Thoft-Christensen, ‘Application of Optimization Methods in Structural Systems Reliability Theory’, Structural Reliability Theory Paper, 53, Institute of Building Technology and Structural Engineering, Aalborg University (1987).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1988 Kluwer Academic Publishers
About this paper
Cite this paper
Murotsu, Y., Kishi, M., Yonezawa, M. (1988). On The Shape Optimization of Truss Structure Based on Reliability Concept. In: Rozvany, G.I.N., Karihaloo, B.L. (eds) Structural Optimization. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-1413-1_25
Download citation
DOI: https://doi.org/10.1007/978-94-009-1413-1_25
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-7132-1
Online ISBN: 978-94-009-1413-1
eBook Packages: Springer Book Archive