不同复合纤维布和软夹芯材料的空间布局将产生不同的叶片结构性能和质量,为最大程度发挥材料空间布局的设计潜力,提出基于相变量的叶片宏观拓扑优化方法。基于独立连续映射法,建立以单元伪密度为设计变量、强度为约束、质量最小为目标函数的叶片多相材料拓扑优化数学模型,以修正的满应力设计方法和关系映射反演原则相结合的算法进行求解,通过Abaqus-Python-Matlab联合平台实现优化。以1.5 MW叶片为例,得到复合纤维和软夹芯材料的优化空间布局,基于等代设计法调整不规则区域。结果表明：优化后叶片的强度满足要求且质量明显减小,验证了方法的有效性和可行性。
Abstract
Blades have a range of structural performance and quality depending on the topology of composite fiber cloth and soft sandwich materials. To maximize the design potential of material space layout, this study proposes a macro topology optimization approach for blades by using phase variables. The mathematical formulation for topology optimization is established, with elemental pseudo density as design variable, minimum weight as the objective function and the strength as the constraint. The problem is solved using a combination of the modified full stress approach and the relational mapping inversion principle, with optimization performed using the Abaqus-Python-Matlab joint platform. Taking 1.5 MW blade as an example, the optimized space layout of blade composite and soft sandwich material is achieved, and the irregular area is adjusted using the equivalent design criteria. The results indicate that the optimized blade meets the requirements for strength, while dramatically reducing the mass, also verifying the effectiveness and feasibility of the proposed method.
关键词
拓扑优化 /
风力机 /
叶片 /
结构性能 /
相变量 /
强度约束
Key words
topology optimization /
wind turbines /
blades /
structural performance /
phase variable /
strength constraint
{{custom_sec.title}}
{{custom_sec.title}}
{{custom_sec.content}}
参考文献
[1] 赵清鑫, 张兰挺. 基于径向基神经网络的风力机叶片铺层优化[J]. 太阳能学报,2020, 41(4): 229-234.
ZHAO Q X, ZHANG L T.Ply parameter optimization of wind turbine blade based onradial basis function neturalnetwork[J]. Acta energiae solaris sinica, 2020, 41(4): 229-234.
[2] MEI Y L, WANG X M.A level set method for structural topology optimization and its applications[J]. Advances in engineering software, 2004, 35(7): 415-441.
[3] YIN L, ANANTHASURESH G K.Topology optimization of compliant mechanisms with multiple materials using a peak function material interpolation scheme[J]. Structural multidisciplinary optimization, 2001, 23(1): 49-62.
[4] 龙凯, 谷先广, 王选. 基于多相材料的连续体结构动态轻量化设计方法[J]. 航空学报, 2017, 38(10): 134-143.
LONG K,GU X G, WANG X.Lightweight design method for continuum structure under vibrationusing multiphase materials[J]. Acta aeronautica et astronautica sinica, 2017, 38(10): 134-143.
[5] MAJDI B, REZA A.Multi-material topology optimization of compliant mechanisms via solid isotropic material with penalization approach and alternating active phase algorithm[J]. Proceedings of institution of mechanical engineers, 2020, 234(13): 2631-2642.
[6] DEATON J D, GRANDHI R V.A survey of structural and multidisciplinary continuum topology optimization:post 2000[J]. Structural multidisciplinary optimization, 2014, 49(1): 1-38.
[7] CHENG G D, GUO X.ε-relaxed approach in structural topology optimization[J]. Structural optimization, 1997, 13: 258-266.
[8] BRUGGI M.On an alternative approach to stress constraints relaxation in topology optimization[J]. Structural multidisciplinary optimization, 2008, 36(2): 125-141.
[9] LIU H L, YANGD X, HAO P, et al.Isogeometricanalysis based topology optimization design with global stress constraint[J]. Computer methods in applied mechanics and engineering, 2018, 342: 625-652.
[10] MENG Q X, XU B, WANG C, et al.Stress constrained thermo-elastic topology optimization based on stabilizing control schemes[J]. Journal of thermal stresses, 2020, 43(8): 1040-1068.
[11] CHU S, XIAO M, GAO L, et al.A level set-based method for stress-constrained multimaterial topology optimization of minimizing a global measure of stress[J]. International journal for numerical methods inengineering, 2019, 117(7): 800-818.
[12] 隋允康, 杨德庆, 王备. 多工况应力约束和位移约束下连续体结构拓扑优化[J]. 力学学报, 2000, 32(2): 171-179.
SUI Y K, YANG D Q, WANG B.Topology optimization of continuum structures under multi-case stress constraints and displacement constraints[J]. Chinese journal of theoretical and applied mechanics, 2000, 32(2): 171-179.
[13] 叶红玲, 沈静娴, 隋允康. 过滤函数对应力约束连续体结构拓扑优化的影响分析[J]. 北京工业大学学报, 2013, 39(3): 321-330.
YE H L, SHEN J X, SUI Y K.Analysis of influence of filter function on topology optimization of continuum structure with stress constraint[J]. Journal of Beijing University of Technology, 2013, 39(3): 321-330.
[14] 张兰挺, 李双荣, 孙鹏文, 等. 铺层参数对风力机叶片结构性能的耦合影响分析[J]. 太阳能学报, 2018, 39(6): 1768-1774.
ZHANG L T, LI S R, SUN P W, et al.Coupling effects analysis of laminating parameters to structural properties of wind turbine blade[J]. Acta energiae solaris sinica, 2018,39(6): 1768-1774.
[15] 张兰挺, 邓海龙, 郜佳佳, 等. 铺层参数对风力机叶片静态结构性能的影响分析[J]. 太阳能学报, 2014, 35(6): 1059-1064.
ZHANG L T, DENG H L, GAO J J, et al.Influencing analysis on lamination parameters to static structure performance of wind turbine blade[J]. Acta energiae solaris sinica, 2014, 35(6): 1059-1064.
[16] 叶红玲, 苏鹏飞, 王伟伟, 等. 疲劳寿命约束下的连续体结构拓扑优化[J]. 北京工业大学学报, 2020, 46(3): 236-244.
YE H L, SU P F, WANG W W, et al.Continuum topology optimization with fatigue life constraint[J]. Journal of Beijing University of Technology, 2020, 46(3): 236-244.
基金
国家自然科学基金（51865041; 52165035）; 内蒙古自治区直属高校基本科研业务费项目（JY20220080; JY20220373）; 内蒙古自治区硕士研究生科研创新资助项目（S20210186Z）
PDF(1946 KB)
