Multi-objective Topology Optimization of Machining Center Column Based on the Finite Element method
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摘要: 以提高某型加工中心立柱的动静态特性为目的,在对立柱进行基于有限元法的静力分析和模态分析的基础上,利用折衷规划法和功效函数法对各目标进行处理,建立静刚度最大化和前两阶固有频率最大化的多目标拓扑优化数学模型;运用ANSYS对立柱进行多目标拓扑优化分析,依据分析得到的立柱结构材料最佳分布和立柱的设计经验,改进原立柱结构,再将改进后的立柱进行有限元分析验证。结果表明:改进后的立柱质量有所减小,动静态特性也得到显著改善。Abstract: Aiming to improve the dynamic and static characteristics of the machining center column, the multiobjective topology optimization model is established by handling the objectives, maximizing static stiffness andmaximizing the first two order frequencies, with the manner of compromise programming method and efficacycoefficient method based on the modal analysis and the static analysis which are analyzed by using FEM. The multiobjective topology optimization analysis is performed by using ANSYS, and the modal analysis and the staticanalysis are performed on the column again after the column structure is improved based on the optimal distributionof the column structural materials and the design experience of column. The result shows that the mass of thecolumn is decreased and the static and dynamic characteristics are improved significantly.
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[1] 李奎, 汪惠芬, 刘 婷婷.数控机床动态特性优化[J].机械设计, 2011, 28(5): 75-78Li K, Wang H F, Liu T T.Dynamic characteristics optimization of NC machine tool[J]. Journal of Machine Design, 2011, 28(5): 75-78 (in Chinese) [2] 徐开元, 徐武彬, 唐满宾.基于有限元的机床滑鞍结构的动特性分析[J]. 机械设计与制造, 2011,(4):170-172Xu K Y, Xu W B, Tang M B.Dynamic characteristic analysis of a certain type of machining center saddle structure based on FEM [J]. Machiner Design &Manufacture, 2011,(4): 170-172 (in Chinese) [3] 黄伟, 欧长松, 陆海漫, 等.龙门铣床立柱结构的有限元分析与拓扑优化[J]. 机械科学与技术, 2012, 31(1): 118-121Huang W, Ou C S, Lu H M, et al.Finite element analysis and topology optimization for the gantry milling machine column structure[J]. Mechanical Science and Technology for Aerospace Engineering, 2012, 31 (1):118-121 (in Chinese) [4] 陈江龙, 盛德仁, 陈坚红, 等.基于模态分析的汽轮机叶片有限元拓扑结构优化[J]. 电站系统工程, 2005,21 (1): 51-53Chen J L, Sheng D r, Chen J H, et al.Topological structure optimization of finite element based on modal analysis about steam turbine blade[J]. Power System Engineering, 2005, 21 (1): 51-53 (in Chinese) [5] 刘远东, 尹益辉, 郭中泽.考虑静动力学特性的材料/结构一体化多目标优化设计[J]. 工程力学, 2012, 29(9): 37-49Liu Y D, Yin Y H, Guo Z Z.Integrated optimization design of materials and structures in consideration of static and dynamic performances [J]. Engineering Mechanics, 2012, 29(9): 37-49 (in Chinese) [6] 李洪.实用机床设计手册[M]. 沈阳: 辽宁科学技术出版社, 1999: 165-168Li H.Practical machine design manual[M]. Shenyang:Liaoning Science and Technology Publishing House,1999: 165-168 (in Chinese) [7] Prager W.A note on discretized michell structures[J].Computer Methods in Applied Mechanics and Engineering, 1974, 3(3): 349-355 [8] Dorn W S, Gomory r E, Greenberg H J.Automatic design of optimal structures[J]. Journal of Mechanics,1964, 3(1): 25-52 [9] Chen T Y, Wu S C.Multi-objective optimal topology design of structures [J]. Computational Mechanics,1998, 21 (16): 483-492 [10] 黄红武, 赵小青, 宓海青, 等.基于有限元的超高速平面磨床整机动力学建模及模态分析[J]. 湖南大学学报, 2005, 32(4): 39-42Huang H W, Zhao X Q, Mi H Q, et al.The whole machine modeling and mode analysis of super-high speed surface grinder based on FEM[J]. Journal of Hunan University, 2005, 32(4): 39-42 (in Chinese)
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