Abstract
Finding the best distribution of available material in the predetermined design domain satisfying various conditions is the target of topology optimization for continuum structures. In most topology optimization methods, the optimized goal is to find the structures with maximum stiffness. Stiffness is often closely related to the global displacement and, especially, to the maximum displacement of the structure. So a new topology method for minimizing the volume of the structure subject to global displacement is developed and a new approach to controlling the maximum displacement of the structure is proposed.
Highlights
Finding the best distribution of available material in the predetermined design domain satisfying various conditions is the target of topology optimization for continuum structures
The topology optimization method based on elements is treated by dividing the design domain into finite elements and each element is taken as a design variable
The evolutionary structural optimization (ESO) method [3] and [4], and its later version, the bi-directional ESO (BESO) method [5], remove inefficient material from the structure based on certain predefined criteria
Summary
Finding the best distribution of available material in the predetermined design domain satisfying various conditions is the target of topology optimization for continuum structures. A new topology method for minimizing the volume of the structure subject to global displacement is developed and a new approach to controlling the maximum displacement of the structure is proposed. Topology optimization methods based on nodal design variables were developed to avoid these problems. An adaptive density point refinement approach for continuum topology optimization on the basis of an analysismesh separated material density field description based on nodal design variables was presented by Wang et al [11]. Wang et al [12] proposed topological optimization of structures using a multilevel nodal density-based approximant. The presented topology optimization method is based on nodal densities and utilizes the rational approximation for material properties (RAMP) interpolation scheme proposed by Stolpe and Svanberg [13].
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