Abstract
An iterative procedure for determining the joint positions and dimensions of cross-sections corresponding to a minimum mass space frame is presented. Stress constraints, displacement constraints and side constraints are taken into account, with the possibility for linking of the design variables, which in addition to the joint positions are the beam dimensions. The frame is assumed to carry consecutively a number of different systems of loads, including temperature loads and weights. The stressed state analysis includes tension, bending, shear and torsion of the beam elements.
The optimization iteration includes a sequence of quadratic programming problems with the possibility of move-limits. Only “nearby” constraints (active strategy) are considered, and analytical expressions for the gradients are derived. Illustrative medium scale problems are presented.
Similar content being viewed by others
References
Apostol, V; Santos, J.L.T.; Goia, I. 1995: Design sensitivity analysis and optimization of truss/beam structures with arbitrary cross-sections. In: Olhoff, N.; Rozvany, G.I.N. (eds.)Proc. WCSMO-1 (held in Goslar, Germany). Amsterdam: Elsevier (to appear)
Garstecki, A. 1994: Structural sensitivity analysis and optimal design of frames with respect to joint location.Control & Cybernetics 23, 407–426
Kiselev, V.G.; Sergeyev, O.A. 1990: Analytical sensitivities of stresses to node coordinates in spatial frames (in Russian).Applied Problems of Strength and Plasticity (APSP), 27–35
Kollbrunner, C.F.; Hajdin, N. 1972:Dünnwandige Stäbe, Band 1. Berlin, Heidelberg, New York: Springer
Pedersen, P. 1973: Optimal joint positions for space trusses.J. Struct. Div., ASCE 99, 2459–2476
Pedersen, P.; Jørgensen, L. 1984: Minimum mass design of elastic frames subjected to multiple load cases.Comp. & Struct. 18, 147–157
Pedersen, P.T.; Jensen J.J. 1983:Styrkeberegning af Maritime Konstrutioner, Del 1 (in Danish). Lyngby: DTA
Przemieniecki, J.S. 1968:Theory of matrix structural analysis. New York: McGraw Hill
Sergeyev, O.A. 1990:Sensitivity analysis and optimization of spatial frame constructions with variable node coordinates (in Russian). Ph.D. Thesis, Nizhni Novgorod University, Russia
Yoshida, N.; Vanderplaats, G.N. 1988: Structural optimization using beam elements.AIAA J. 26, 454–462
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Sergeyev, O., Pedersen, P. On design of joint positions for minimum mass 3D frames. Structural Optimization 11, 95–101 (1996). https://doi.org/10.1007/BF01376851
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01376851