In this paper, scissor-link foldable structures known as pantograph structures are studied. Recursive Quadratic Programming Method is used for optimal design of double layer grids, barrel vaults and antenna types of pantographs and space structures. Examples are provided to show the performance of the approach being employed.
GantesC.J., LogcherR.D., ConnorJ.J., and RosenfeldY.Deployability conductions for curved and flat, polygonal and topological deployable structures. International Journal of Space Structures, Vol. 8, 1993, 97-106.
8.
RosenfeldY., Ben-AmiY. and LogcherR.D.A prototype “clicking” scissor link deployable structures. International Journal of Space Structures, Vol. 8, 1993, 85-93.
9.
ShanW.Foldable space structure. Ph. D. thesis, University of Surrey, UK, 1990.
10.
KavehA. and DavaranA.Analysis of pantograph foldable structures. Computers and Structures, Vol. 59, 1996, 131-140.
11.
MajidK.I.Optimum Design of Structures. Newnes-Butterworths, London, 1974.
12.
KirschU.Optimum Structural Design.McGraw-Hill, New York, 1981.
13.
SakaM.P.Optimum Design of Space trusses with buckling constraints. The 3rd International Conference on Space Structures, edit. NooshinH., Elsevier Applied Science, 1984, pp. 656-660.
14.
NiczyjJ. and PaczkowiskiW. M.An expert system for discrete optimization of space trusses. The 4th International Conference on Space Structures 4, edits ParkerG. A. and HowardC. M., Thomas Telford Pub. Co., London, Vol. 2, 1993:1756-1765.
15.
SalajeghehE., Optimum design of double layer grids. The 3rd International Conference on Space Structures, edit. NooshinH., Elsevier Applied Science, 1984, pp. 661-668.
16.
KaczewskiJ.A., LubinskiM. and PaczowskiW.M.Non-linear model of optimization of space trusses. The 3rd International Conference on Space Structures, edit. NooshinH., Elsevier Applied Science, 1984, pp. 667-682.
17.
ZhangW.H., and FleuryC.Recent advances in convex approximation methods for structures optimization. Advances in structural optimization, edits. ToppingB.H.V. and PapadrakakisM., Civil-Comp Ltd, 1994, pp. 83-90.
18.
WilsonR.B.A simplicial algorithm for concave programming. Ph.D. thesis, School of Business Administration, Harvard University, Boston, 1963.
19.
HanS.P., A globally convergent method for nonlinear programming. Journal of Optimization Theory and Applications, Vol. 22, 1977, 297-309.
20.
PowellM.J.D.A fast algorithm for nonlinearity constraint optimization calculations. Lecture Notes in Mathematics, WatsonG.A. (editors). Springer Verlag, Berlin, 1978.
21.
NISA II, Numerically Integrated Elements for System Analysis, Version 93.0, Engineering Mechanics Research Corporation, USA, November 1993.
22.
BroydenC.G., The convergence of a class of double-rank minimization algorithm 2. The new algorithm, Journal of the Institute of Mathematics and its Applications, Vol. 6, 1970, 222-231.
23.
FletcherR., A new approach to variable metric algorithms, Computer Journal, Vol. 13. 1970, 317-322.
24.
ShannoD.F., Conditioning of quasi-Newton methods for function minimization, Mathematical Computing. Vol. 24, 1970, 23-26.
25.
GoldfarbD., A family of variable methods derived by variational means, Mathematical Computing. Vol. 24, 1970, 647-656.
26.
JafarvandA.Analysis and optimal design of foldable space structures. Ph.D. thesis, Iran University of Science and Technology, 1998.
27.
NooshinH., DisneyP. and YamamotoC.FORMIAN, Multi-Science Publishers, UK, 1993.
