Analysis of Topology Optimization Parameters for Assembly Structure

doi:10.3901/JME.2024.15.291

Abstract

Abstract: With the improvement of precision and ultra-precision processing technology, the processing quality of individual mechanical parts can be fully guaranteed. But the quality of the assembly connector is difficult to guarantee as easily as individual parts. In order to improve the robustness of the topology optimization method for the connection performance of the assembly structure, while providing a variety of topology optimization layouts for manufacturing, the flexible assembly structure was taken as the the optimization object, and the influence of the optimization parameters on the optimization process during the topology optimization of the assembly structure is analyzed. The "Boundary Effect" of the assembly topology optimization process is eliminated by introducing the "Anisotropic Filtering" method, on the basis of the influences of filter radii on the optimization results. Moreover, to improve the manufacturability of the optimized structure, two minimum length control methods are introduced, and their optimization effects are compared and discussed to ensure the manufacturability of the topology optimization design results. Finally, the influence mechanism of the sharpness factor and threshold parameter in the smooth Heavside function on the optimization results is analyzed.

Key words: contact pressure between assembly objects, topology optimization, assembly interface design, optimization parameter analysis, machinability

CLC Number:

TG156

LIN Qiyin, JIA Yiming, ZHOU Yicong, WANG Chen, HONG Jun. Analysis of Topology Optimization Parameters for Assembly Structure[J]. Journal of Mechanical Engineering, 2024, 60(15): 291-303.

References

[1] HILDING D，KLARBRING A，PETERSSON J.Optimization of structures in unilateral contact[J].ASME Applied Mechanics Reviews，1999，52(4):139-160.
[2] STRÖMBERG N.Topology optimization of structures with manufacturing and unilateral contact constraints by minimizing an adjustable compliance–volume product[J].Structural and Multidisciplinary Optimization，2010，42(3):341-350.
[3] STRÖMBERG N，KLARBRING A.Topology optimization of structures in unilateral contact[J].Structural and Multidisciplinary Optimization，2010，41(1):57-64.
[4] FERRARI F，SIGMUND O.A new generation 99 line Matlab code for compliance topology optimization and its extension to 3D[J].Structural and Multidisciplinary Optimization，2020，62(4):2211-2228.
[5] ANDREASSEN E，CLAUSEN A，SCHEVENELS M，et al.Efficient topology optimization in MATLAB using 88 lines of code[J].Structural & Multidisciplinary Optimization，2011，43(1):1-16.
[6] KRISTIANSEN H，POULIOS K，AAGE N.Topology optimization for compliance and contact pressure distribution in structural problems with friction[J].Computer Methods in Applied Mechanics and Engineering，2020，364: 112915.
[7] MYŚLIŃSKI A.Piecewise constant level set method for topology optimization of unilateral contact problems[J].Advances in Engineering Software，2015，80:25-32.
[8] MYŚLIŃSKI A，WRÓBLEWSKI M.Structural optimization of contact problems using Cahn–Hilliard model[J].Computers & Structures，2017，180:52-59.
[9] MYŚLIŃSKI A.Multimaterial topology optimization of contact problems using phase field regularization[C]//AIP Conference Proceedings.AIP Publishing LLC，2018，1922(1):020004.
[10] MYŚLIŃSKI A.Topology optimization of elasto-plastic contact problems[C]//AIP Conference Proceedings.AIP Publishing LLC，2020，2239(1):020031.
[11] LAZAROV B S，WANG Fengwen.Maximum length scale in density based topology optimization[J].Computer Methods in Applied Mechanics and Engineering，2017，318:826-844.
[12] 白伟，李取浩，陈文炯，等.基于映射的拓扑优化最大尺寸控制方法[J].工程力学，2017，34(9):18-26.BAI Wei，LI Quhao，CHEN Wenjiong，et al.A novel projection based method for imposing maximum length scale in topology optimization[J].Engineering Mechanics，2017，34(9):18-26.
[13] GUEST J K，PRÉVOST J H，BELYTSCHKO T.Achieving minimum length scale in topology optimization using nodal design variables and projection functions[J].International Journal for Numerical Methods in Engineering，2004，61(2):238-254.
[14] GUEST J K.Topology optimization with multiple phase projection[J].Computer Methods in Applied Mechanics and Engineering，2009，199(1-4):123-135.
[15] 荣见华，赵圣佞，李方义，等.涉及空腔制造的最小长度尺寸限制的清晰结构拓扑优化设计[J].机械工程学报，2020，55(19):174-185.RONG Jianhua，ZHAO Shengning，LI Fangyi，et al.Clear structural topology optimization designs including minimum allowable length scale limit on fabrication holes[J].Journal of Mechanical Engineering，2019，55(19): 174-185.
[16] MICHAILIDIS G.Manufacturing constraints and multi-phase shape and topology optimization via a level-set method[R].Ecole Polytechnique X，2014.
[17] GUO Xu，ZHANG Weisheng，ZHONG Wenliang.Explicit feature control in structural topology optimization via level set method[J].Computer Methods in Applied Mechanics and Engineering，2014，272(2):354-378.
[18] ZHANG Weisheng，ZHONG Wenliang，GUO Xu.An explicit length scale control approach in SIMP-based topology optimization[J].Computer Methods in Applied Mechanics and Engineering，2014，282:71-86.
[19] ALLAIRE G，JOUVE F，MICHAILIDIS G.Thickness control in structural optimization via a level set method[J].Structural and Multidisciplinary Optimization，2016，53(6):1349-1382.
[20] ZHOU Mingdong，LAZAROV B S，WANG Fengwen，et al.Minimum length scale in topology optimization by geometric constraints[J].Computer Methods in Applied Mechanics and Engineering，2015，293:266-282.
[21] YANG Kaike，FERNANDEZ E，NIU Cao，et al.Note on spatial gradient operators and gradient-based minimum length constraints in SIMP topology optimization[J].Structural and Multidisciplinary Optimization，2019，60(1):393-400.
[22] CLAUSEN A，ANDREASSEN E.On filter boundary conditions in topology optimization[J].Structural and Multidisciplinary Optimization，2017，56(5):1147-1155.
[23] CHEN Qizhang，ZHANG Xianming，ZHANG Hongchuan，et al.Topology optimization of bistable mechanisms with maximized differences between switching forces in forward and backward direction[J].Mechanism and Machine Theory，2019，139:131-143.
[24] LIN Qiyin，YANG Nan，HONG Jun，et al，2020.An optimization design of contact interface material stiffness for improving the uniformity of the contact pressure[J].Journal of Tribology，2020，142(6):061502.
[25] LIN Qiyin，ZHOU Yicong，YANG Nan，et al.Design of component structure in assemblies for simultaneously regulating contact pressure distribution and natural frequencies[J].European Journal of Mechanics / A Solid，2022，94:104557.
[26] SIGMUND O.Morphology-based black and white filters for topology optimization[J].Structural and Multidisciplinary Optimization，2007，33(4-5):401-424.
[27] SCHEVENELS M，LAZAROV B S，SIGMUND O.Robust topology optimization accounting for spatially varying manufacturing errors[J].Computer Methods in Applied Mechanics and Engineering，2011，200(49-52):3613-3627.
[28] WANG Fengwen，LAZAROV B S，SIGMUND O.On projection methods，convergence and robust formulations in topology optimization[J].Structural and Multidisciplinary Optimization，2011，43(6):767-784.