Journal Article10.1007/BF01748223
Arch shape optimization using force approximation methods
G. N. Vanderplaats,S. H. Han +1 more
34
TL;DR: In this paper, the authors proposed a force approximation method for shape optimization of two-hinged and fixed arches, based on first order Taylor series expansions of the member end forces.
read more
Abstract: The objective of this paper is to provide a method of optimizing areas of the members as well as the shape of both two-hinged and fixed arches. The design process includes satisfaction of combined stress constraints under the assumption that the arch ribs can be approximated by a finite number of straight members. In order to reduce the number of detailed finite element analyses, the Force Approximization Method is used. A finite element analysis of the initial structure is performed and the gradients of the member end forces (axial, bending moment) are calculated with respect to the areas and nodal coordinates. The gradients are used to form an approximate structural analysis based on first order Taylor series expansions of the member end forces. Using move limits, a numerical optimizer minimizes the volume of the arch with information from the approximate structural analysis. Numerical examples are presented to demonstrate the efficiency and reliablity of the proposed method for shape optimization. It is shown that the number of finite element analysis is minimal and the procedure provides a highly efficient method of arch shape optimization.
read more
Chat with Paper
AI Agents for this Paper
Find similar papers on Google Scholar, PubMed and Arxiv
Write a critical review of this paper
Analyze citations of this paper to find unaddressed research gaps
Citations
Approximation concepts for optimum structural design — a review
TL;DR: It is shown that, although the lack of comparative data established on reference test cases prevents an accurate assessment, there have been significant improvements in approximation concepts since the introduction of approximation concepts in the mid-seventies.
610
Isogeometric design of anisotropic shells: Optimal form and material distribution
TL;DR: In this paper, a non-uniform rational B-splines based isogeometric design framework for thin-walled composite shells is presented, aimed at optimising the form and the material anisotropy distribution either in separate or simultaneous fashions.
88
Optimum design of trusses with discrete sizing and shape variables
TL;DR: In this article, a method for optimizing truss structures with discrete design variables is presented, where the design variables are considered to be sizing variables as well as coordinates of joints, and both types of variables can be discrete simultaneously.
78
Recent Advances in Approximation Concepts for Optimum Structural Design
Jean-Francois M. Barthelemy,Raphael T. Haftka +1 more
- 01 Jan 1993
TL;DR: It is shown that, although the lack of comparative data established on reference test cases prevents an accurate assessment, there have been significant improvements in approximation concepts since the introduction of approximation concepts in the mid-seventies.
Structural Design Optimization Status and Direction
TL;DR: It is concluded that the state of the art of optimization techniques for structural design is now reasonably well refined and the challenge now is to assimilate this technology into the practicing design environment.
65
References
•Book
Structural Optimization : Recent Developments and Applications
Ovadia E. Lev
- 01 Jan 1981
TL;DR: The state-of-the-art of structural optimization can be found in this article. But structural optimization is performed by two groups of scientists: one group emphasizes the analytical, conceptual aspect, the other emphasizes the algorithmical, numerical aspect.
30
Optimal Design of Arches Using the Complex Method
TL;DR: In this paper, the optimal designs of arches under multiple load cases using an automated design routine are presented, where the design variables consist of geometric (arch shape) as well as member sizing variables (cross-sectional dimensions).
9
Automated Design of Trusses for Optimum Geometry
TL;DR: In this paper, a three-dimensional indeterminate elastic trusses subjected to multiple loading conditions are optimally designed for least weight, and the member areas and joint coordinates are treated as design variab...
Shape Optimization of Skeletal Structures: A Review
TL;DR: A review of mathematical programming methods used in the design of skeletal elastic structures can be found in this paper, where the possibility of altering the shape, position or layout of the members is considered.