Optimization of Truss Geometry

Dobbs, Michael W.; Felton, Lewis P.

doi:10.1061/jsdeag.0002374

Cited by 71 publications

(2 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Early topology optimization solutions of discrete structures were proposed by Dorn et al (1964) and Dobbs and Felton (1969). Zhou and Rozvany (1991) extended this work by applying the concept to large structures.…”

Section: Topology Optimization For Discrete Structuresmentioning

confidence: 97%

Topology optimization: a review for structural designs under vibration problems

Zargham

Ward

Ramli

et al. 2016

Struct Multidisc Optim

131

View full text Add to dashboard Cite

This article provides a comprehensive review of structural optimization employing topology methods for structures under vibration problems. Topology optimization allows creative and radical design modifications, compared to shape and size optimization techniques. Various works of structural topology optimization, which are subjected to vibration as the response function of the optimization process, are reviewed. Different types of calculus and numerical methods commonly used for solving structural topological optimization problems are briefly discussed. Moreover, different aspects of topology optimization related to vibration problems are explained. The articles reviewed are largely confined to linear systems that concern small vibration amplitudes. Accordingly, the works related to vibration topological optimization are classified according to the method employed (homogenization, evolutionary structural optimization, solid isotropic material with penalization, or level set). The reviewed works are tabulated according to their methodology, year, and the objective functions and applications of each work. Although the homogenization and evolutionary methods were common in the past, the solid isotropic material with penalization (SIMP) method is the most popular method applied in recent years. The advantages of the level set method show promise for future applications.

show abstract

Section: Topology Optimization For Discrete Structuresmentioning

confidence: 97%

Topology optimization: a review for structural designs under vibration problems

Zargham

Ward

Ramli

et al. 2016

Struct Multidisc Optim

131

View full text Add to dashboard Cite

show abstract

“…The nodal number used in the ground structure method should be large enough to avoid missing the workable connection. It is possible to improve optimization efficiency by designing the nodal truss structures (Dobbs & Felton, 1969). However, due to the non‐linearity of the combined size and geometric optimization problem, the initial nodal position and its potential connectivity still significantly affected eventual results (Bendsoe & Sigmund, 2013).…”

Section: Introductionmentioning

confidence: 99%

A nodal‐based evolutionary optimization algorithm for frame structures

Zhang

Xie

Zhou

2022

Computer aided Civil Eng

View full text Add to dashboard Cite

This work proposes a nodal-based evolutionary design optimization algorithm to design frame structures whose edges are the Delaunay triangulation of homogeneously distributed nodes in the design domain. The remaining nodes can freely sway in the design domain except for the loading nodes and boundary nodes. As a result, it can extend the space of admissible solutions to this optimization problem and reduce the number of design variables. Then, the sensitivity of the objective function, namely, the sum of compliance and its volume, is input into the method of moving asymptotes to update the nodal coordinates and member thickness. The most inefficient node is deleted in each iteration based on the average nodal strain energy until its number reaches a prescribed limit. 2D numerical examples for the Michell arch, L-shaped bracket, and Messerschmidt-Bölkow-Blohm beam show that the proposed algorithm can get the optimal structure within a few iterations. Compared with initial configurations in 3D, the optimal crane arm, transmission tower, and aquatic dome have less strain energy and fewer materials, showing a great potential of the proposed method to design actual space frames.

show abstract

Bibliography

2014

Computational Design of Lightweight Structures

View full text Add to dashboard Cite

Optimization of Truss Geometry

Cited by 71 publications

References 0 publications

Topology optimization: a review for structural designs under vibration problems

Topology optimization: a review for structural designs under vibration problems

A nodal‐based evolutionary optimization algorithm for frame structures

Bibliography

Contact Info

Product

Resources

About