2018
DOI: 10.1007/s40430-018-1461-5
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Topology establishment, form finding, and mechanical optimization of branching structures

Abstract: Branching structures have begun to attract the attention of engineering designers because of their novel appearances and high structural efficiency. The establishment of topology, the analysis of form, and the optimization of cross-sectional area combination should first be addressed in the design of branching structures. The method presented here can be adopted for the systematic design, analysis, and optimization of branching structures. This work was conducted on the basis of the general finite element code… Show more

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Cited by 10 publications
(2 citation statements)
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“…The result is a strong 714 FINITE ELEMENT MODELING AND CONVERGENCE ANALYSIS construction with a low tolerance to imperfections and improved buckling load capability, similarly to the "GE-SEZ" structure proposed by EL JAI et al [19]. These techniques are typically embedded in mechanical optimization loops that make use of genetic optimization algorithms and finite elements method for mechanical computations [2,6,7,8,9,10,11]. Other researchers make use of plant growth modeling algorithms such as the L-system method, invent-ed by Lindenmayer in 1989 [12].…”
Section: Introductionmentioning
confidence: 99%
“…The result is a strong 714 FINITE ELEMENT MODELING AND CONVERGENCE ANALYSIS construction with a low tolerance to imperfections and improved buckling load capability, similarly to the "GE-SEZ" structure proposed by EL JAI et al [19]. These techniques are typically embedded in mechanical optimization loops that make use of genetic optimization algorithms and finite elements method for mechanical computations [2,6,7,8,9,10,11]. Other researchers make use of plant growth modeling algorithms such as the L-system method, invent-ed by Lindenmayer in 1989 [12].…”
Section: Introductionmentioning
confidence: 99%
“…Finite element analysis methods for buckling include linear eigenvalues, nonlinear statics, nonlinear transients, and explicit dynamics. [1][2][3][4][5][6][7][8][9][10] Ngamkhanong et al 11 used the method of eigenvalue buckling analysis to study the phenomenon of cross rail buckling, analyzed the deformation of cross rail, and put forward the possibility of using the discrete method to reduce the track buckling, which provided the basis for the design of track and sleeper. Silva et al 12 used linear and nonlinear methods to study the buckling of sheet steel with different types of holes and determined the optimal geometric configuration.…”
Section: Introductionmentioning
confidence: 99%