关键词: RAMP法, 变密度法, 导重法, 拓扑优化

Abstract: Finding better modeling and solution methods for topology optimization of continuum structures is always paid much attention to by the researchers. Thus the variable density methods in continuum topology optimization are discussed. After in-depth analysis of the advantages and disadvantages of the solid isotropic microstructure with penalization method (SIMP) and rational approximation of material properties method (RAMP), the optimization model is established based on the RAMP method. Guide-weight method is used as an algorithm combining for solving topology optimization problems. The iteration formulas of the least compliance in single and multi working conditions are derived and the physical definitions of variables in guide-weight method are proposed. Two typical examples of single-objective and multi-objective optimization problems are calculated respectively. The results are satisfactory and show that RAMP method combined with Guide-Weight method has the advantage of the less design variables, less number of iterations, fast convergence speed and high efficiency, which also verify its feasibility and efficiency.

Key words: Guide-weight method, RAMP method, Topology optimization, Variable density method