A novel method for prediction of truss geometry from topology optimization

An important task in designing a truss structure is to determine the initial configuration of the truss. In the absence of an efficient optimization technique, the selection of initial geometry is based on a trial and error procedure or standard truss configurations or past experiences. In this work, a fully automated algorithm is proposed which can be used to predict initial truss geometry from the grayscale images obtained from topology optimization of design domain. It predicts the locations of joints and the connectivity of members. It also estimates the approximate cross-sectional areas of the members. The interpreted truss geometry can be modified or directly used for structural analysis and design. Numerical examples are presented to demonstrate the functioning of the algorithm under various scenarios. The developed algorithm has been implemented as part of a web-based truss design application, previously developed by the same authors.

[1]  Ming-Hsiu Hsu,et al.  Interpreting three-dimensional structural topology optimization results , 2005 .

[2]  Kristina Shea,et al.  Structural Topology Optimization of Braced Steel Frameworks Using Genetic Programming , 2006, EG-ICE.

[3]  Amar Mandhyan,et al.  Web application for size and topology optimization of trusses and gusset plates , 2015, ArXiv.

[4]  Ryszard Kutylowski,et al.  Local buckling design problem for topology optimized truss girders , 2009 .

[5]  A. Zerva,et al.  Spatial variation of seismic ground motions: An overview , 2002 .

[6]  K. Svanberg The method of moving asymptotes—a new method for structural optimization , 1987 .

[7]  Vassili Toropov,et al.  Applications of topology optimization in structural engineering , 2014 .

[8]  Yeh-Liang Hsu,et al.  Interpreting results from topology optimization using density contours , 2001 .

[9]  SokółTomasz A 99 line code for discretized Michell truss optimization written in Mathematica , 2011 .

[10]  Sang-Hoon Park,et al.  A study on the shape extraction process in the structural topology optimization using homogenized material , 1997 .

[11]  Ian F. C. Smith,et al.  Intelligent computing in engineering and architecture , 2008, Adv. Eng. Informatics.

[12]  Robert W. Zimmerman,et al.  Hashin-Shtrikman bounds on the poisson ratio of a composite material , 1992 .

[13]  J. Petersson,et al.  Numerical instabilities in topology optimization: A survey on procedures dealing with checkerboards, mesh-dependencies and local minima , 1998 .

[14]  Osvaldo M. Querin,et al.  Growth method for size, topology, and geometry optimization of truss structures , 2006 .

[15]  Max Hultman,et al.  Weight optimization of steel trusses by a genetic algorithm - size, shape and topology optimization according to Eurocode , 2010 .

[16]  Tomasz Sokół,et al.  A 99 line code for discretized Michell truss optimization written in Mathematica , 2011 .

[17]  Ole Sigmund,et al.  A 99 line topology optimization code written in Matlab , 2001 .

[18]  Chanakya Arya,et al.  Eurocode 3: Design of steel structures , 2018, Design of Structural Elements.

[19]  Yi Min Xie,et al.  Optimal Topology Design of Bracing Systems for Multistory Steel Frames , 2000 .

[20]  Alan V. Oppenheim,et al.  Discrete-Time Signal Pro-cessing , 1989 .

[21]  Zafer Gürdal,et al.  Wind load effect in topology optimization problems , 2007 .

[22]  D. Gossard,et al.  Synthesis of Optimal Shape and Topology of Structures , 1996 .

[23]  M. Gilbert,et al.  Layout optimization of large‐scale pin‐jointed frames , 2003 .