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Additional resources for Algebraic Topology, Aarhus 1978
The objective volume is 10 % of the total volume of the design domain. BESO starts from the full design. 1 %. It is noted that a very large A Rmax is adopted which in effect removes the limit on the number of elements allowed to be added in each iteration. 19 gives the resulting topologies at various iterations. Generally the mean compliance increases as the volume of the structure gradually decreases. A big jump in the mean compliance has occurred at iteration 75 due to the breakage of some bars.
The sensitivity numbers of the solid elements can be easily estimated by the approximate variation of the objective function due to the removal of individual elements. However, it is difficult to estimate the sensitivity numbers of the void elements because there is hardly any information available for the void elements which are not included in the finite element analysis. In the previous chapter, sensitivity numbers of void elements were set to be zero initially and then modified through the filter scheme.
2003). Topology Optimization: Theory, Method and Application. Berlin: Springer. , Hira, A. P. (1996). Evolutionary structural optimization for problems with stiffness constraints. Finite Elements in Analysis and Design 21: 239–51. S. P. (1996). A new approach to variable-topology shape design using a constraint on the perimeter. Struct. Optim. 11: 1–11. Huang, X. M. (2007). Convergent and mesh-independent solutions for bi-directional evolutionary structural optimization method. Finite Elements in Analysis and Design 43(14): 1039–49.