Periodic Topology and Size Optimization Design of Tower Crane Boom
In order to achieve the layout and size optimization of the web members of tower crane boom, a truss topology and cross section size optimization method based on continuum is proposed considering three typical working conditions. Firstly, the optimization model is established by replacing web members with web plates. And the web plates are divided into several sub-domains so that periodic soft kill option (SKO) method can be carried out for topology optimization of the slender boom. After getting the optimized topology of web plates, the optimized layout of web members is formed through extracting the principal stress distribution. Finally, using the web member radius as design variable, the boom compliance as objective and the material volume of the boom as constraint, the cross section size optimization mathematical model is established. The size optimization criterion is deduced from the mathematical model by Lagrange multiplier method and Kuhn-Tucker condition. By comparing the original boom with the optimal boom, it is identified that this optimization method can effectively lighten the boom and improve its performance.
 Y. Yang, D. Qing, T. Yang, “A study on design optimization for dual lifting-point boom of tower crane,” Construction Machinery and Equipment, vol. 34, pp. 16-19, June 2003.
 J. Jia. Y. Wan, “Light-weight design of tower crane boom structure based on multi-objective optimization,” International Conference on Mechanical Science and Engineering, Qingdao: Atlantis Press, pp. 1-6, 2016.
 H. Zhang, C. Xu, “Optimized design for the structure of truss crane jib based on MATLAB and parameterized model,” Journal of Wuhan University of Technology, vol. 35, pp. 201-204, Jan. 2011.
 H. Jin, “Structure analysis and optimization of the tower cranes,” Hebei University of Technology, 2014.
 R. Aelmić, P. Cvetković, R. Mijailović, “Optimum dimensions of triangular cross-section in lattice structures,” Meccanica, vol. 41, pp. 391-406, Apr. 2006.
 R. Mijailović, G. Kastratović, “Cross-section optimization of tower crane lattice boom,” Meccanica, vol. 44, pp. 599-611, May 2009.
 A. Baumgartner, L. Harzheim, C. Mattheck, “SKO (soft kill option): the biological way to find an optimum structure topology,” International Journal of Fatigue, vol. 14, pp. 387–393, June 1992.
 J. Hou, X. Ding, “SKO structural topology optimization method based on a continuous step-up reference stress criterion,” China Mechanical Engineering, vol. 23, pp. 28-33 Jan. 2012.
 H. Jiao, Q. Zhou, Q. Wu, W. Li, Y. Li, “Periodic topology optimization of the box-type girder of bridge crane,” Journal of Mechanical Engineering, vol. 23, pp. 134-139, Dec. 2014.
 C. Mattheck, Design in nature: learning from trees. Berlin: Springer, 1998.
 Q. Wu, Q. Zhou, X. Xiong, R. Zhang, “Layout and sizing optimization of discrete truss based on continuum,” International Journal of Steel Structures, vol. 17, pp. 43-51, Jan. 2017.
 Q. Zhou, Q. Wu, X. Xiong, L. Wang, “Optimal design of topology and section size of truss structures,” Journal of Xi'an Jiaotong University, vol. 50, pp. 1-10, Sep. 2016.