基于超椭圆方程和序列响应面法的回转壳开孔形状优化

doi:10.7527/S1000-6893.2015.0213

Abstract

Abstract:

Rotation shell structures with closed functional openings are widely used as lightweight and rotary components in aeronautic and aerospace engineering. The opening's geometrical shape has great effects on structural static and dynamic performances. A parameterized geometry model to optimize the opening shape is presented based on the parametrical mapping method in this paper, by considering the opening boundary as super-elliptic function. In order to improve the accuracy, efficiency and convergence of structural optimization, isoperimetric controlling approach is employed to precisely fit space super-elliptic boundary curve for geometrical modeling, and a sequential response surface approximate method (SRSM) is proposed to reduce finite element analysis cost and accelerate the iterative convergence. Overall structural optimization procedure is constructed to carry out opening shape optimization with maximizing the difference between the first and second order frequencies in rotation shell structure. Non-dominated sorting genetic algorithm Ⅱ (NSGA-Ⅱ) is implemented to obtain global optimum as the SRSM sub-optimizer. Numerical results indicate that the dynamic performance of rotation shell could be enhanced remarkably by opening shape optimization using the presented optimization method combined with super-elliptic function and SRSM. The optimization procedure exhibits the application value in the computation-intensive shape optimization of engineering structures.

Key words: shape optimization, rotation shell, super-elliptic function, sequential response surface, frequency difference

CLC Number:

SUN Shiping, HU Jiantang, ZHANG Weihong. Shape optimization of openings on rotation shells based on super-elliptic function and sequential response surface method[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2015, 36(11): 3595-3607.

References

[1] Guz À N, Chernyshenko I S, Chekhov V N, et al. Investigations in the theory of thin shells with openings[J]. International Applied Mechanics, 1979, 15(11):1015-1043.
[2] Zirka A I, Chernopiskii D I. Experimental investigation of the stress concentration in axially compressed thick cylindrical shells with rectangular holes[J]. International Applied Mechanics, 2001, 37(5):689-691.
[3] Shariati M, Rokhi M M. Numerical and experimental investigations on buckling of steel cylindrical shells with elliptical cutout subject to axial compression[J]. Thin-WalledStructures, 2008, 46(11):1251-1261.
[4] Zhang W H, Wang D, Yang J G. A parametric mapping method for curve shape optimization on 3D panel structures[J]. International Journal for Numerical Methods in Engineering, 2010, 84(4):485-504.
[5] Zhang M M, Wang D, Zhang W H. Buckling analysis and shape optimization of cylinder shells with holes under axial compression[J]. Science Technology and Engineering, 2011, 11(9):1671-1815(in Chinese).张苗苗,王丹,张卫红.带孔圆柱壳轴压屈曲与孔形优化设计[J].科学技术与工程, 2011, 11(9):1671-1815.
[6] Hu H T, Ou S C. Maximization of the fundamental frequencies of laminated truncated conical shells with respect to fiber orientations[J]. Composite Structures, 2001, 52(3-4):265-275.
[7] Wu Z X. Optimal hole shape for minimum stress concentration using parameterized geometry models[J]. Structural and Multidisciplinary Optimization, 2009, 37(6):625-634.
[8] Pedersen N L. Optimization of holes in plates for control of eigenfrequencies[J]. Structural and Multidisciplinary Optimization, 2004, 28(1):1-10.
[9] Wang D, Zhong X J, Yu Z G. Effects of a cutout inside a rectangular plate on the plate dynamics[J]. Noise and Vibration Control, 2009(6):53-57(in Chinese).王栋,钟习建,禹志刚.开孔对矩形板动力性能影响分析[J].噪声与振动控制, 2009(6):53-57.
[10] Wang G G, Shan S. Review of meta-modeling techniques in support of engineering design optimization[J]. Journal of Mechanical Design, 2007, 129(2):370-380.
[11] Wang G G. Adaptive response surface method using inherited Latin hypercube design points[J]. Journal of Mechanical Design, 2003, 125(2):210-220.
[12] Lee Y B, Jung S H, Choi D H. Progressive quadratic response surface modeling using inherited Latin-hypercube design[C]//Proceedings of the 11th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference. Reston:AIAA, 2006:7092.
[13] Wang C E, Huang Z J. Kriging response surface method based on Gauss function and trust region update approach[J]. Computer Integrated Manufacturing Systems, 2011, 17(4):740-746(in Chinese).王成恩,黄章俊.基于高斯函数和信赖域更新策略的Kriging响应面法[J].计算机集成制造系统, 2011, 17(4):740-746.
[14] Li D Y, Peng Y H, Yin J L. Optimization of metal-forming process via a hybrid intelligent optimization technique[J]. Structural and Multidisciplinary Optimization, 2007, 34:229-241.
[15] Sun G Y, Li G Y, Zhong Z H, et al. Optimization design of multi-objective particle swarm in crashworthiness based on sequential response surface method[J]. Journal of Mechanical Engineering, 2009, 45(2):224-230(in Chinese).孙光永,李光耀,钟志华,等.基于序列响应面法的汽车结构耐撞性多目标粒子群优化设计[J].机械工程学报,2009, 45(2):224-230.
[16] Pajunen S, Heinonen O. Automatic design of marine structures by using successive response surface method[J]. Structural and Multidisciplinary Optimization, 2014, 49(5):863-871.
[17] Fang K T, Ma C X. Orthogonal and uniform experimental design[M]. Beijing:Science Press, 2001:83-106(in Chinese).方开泰,马长兴.正交与均匀试验设计[M].北京:科学出版社, 2001:83-106.
[18] Simpson T W, Lin D K J, Chen W. Sampling strategies for computer experiments:Design and analysis[J]. International Journal of Reliability and Applications, 2003, 2(3):209-240.
[19] Redhe M, Forsberg J, Jansson T, et al. Using the response surface methodology and the D-optimality criterion in crashworthiness related problems[J]. Structural and Multidisciplinary Optimization, 2002, 24(3):185-194.
[20] Deb K, Pratap A, Agarwal S, et al. A fast and elitist multiobjective genetic algorithm:NSGA-Ⅱ[J]. IEEE Transactions on Evolutionary Computation, 2002, 6(2):182-197.

Shape optimization of openings on rotation shells based on super-elliptic function and sequential response surface method

PDF (PC)

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Recommended Articles

Metrics

Comments

[1]	YE Shuran, ZHANG Zhen, WANG Yiwei, HUANG Chenguang. Progress in deep convolutional neural network based flow field recognition and its applications [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2021, 42(4): 524736-524736.
[2]	GUO Qiang, LI Wentao. Passive location method based on TDOA/FDOA in case of 4 receivers [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2021, 42(2): 324236-324236.
[3]	HAN Zhonghua, XU Chenzhou, QIAO Jianling, LIU Fei, CHI Jiangbo, MENG Guanyu, ZHANG Keshi, SONG Wenping. Recent progress of efficient global aerodynamic shape optimization using surrogate-based approach [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2020, 41(5): 623344-623344.
[4]	SUN Ting, DONG Chunxi. TDOA/FDOA passive localization algorithm for moving target with sensor parameter errors [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2020, 41(2): 323317-323317.
[5]	SUN Ting, DONG Chunxi, DONG Yangyang, LIU Mingming. A TDOA/FDOA passive location algorithm with the minimum number of stations [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2019, 40(9): 322902-322902.
[6]	LI Wanchun, PENG Wuke, PENG Li, MA Yezi, LI Yingxiang. Semidefinite programming algorithm with TDOA and FDOA measurements based on WGS-84 earth model [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2017, 38(7): 320843-320843.
[7]	ZHAO Yongsheng, ZHAO Yongjun, ZHAO Chuang. TDOA-FDOA joint estimation using importance sampling method [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2017, 38(1): 319994-319994.
[8]	WEI Qi, LI Chunna, GU Liangxian, GONG Chunlin. An efficient mesh deformation method based on radial basis functions and peak-selection method [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2016, 37(7): 2156-2169.
[9]	TANG Jing, DENG Youqi, MA Mingsheng, LI Bin. Parameterization and grid deformation techniques for flying-wing aerodynamic optimization [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2015, 36(5): 1480-1490.
[10]	LIU Yang, YANG Le, GUO Fucheng, JIANG Wenli. Moving targets TDOA/FDOA passive localization algorithm based on localization error refinement [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2015, 36(5): 1617-1626.
[11]	ZHANG Ming, LIU Wenbin, LI Chuang, NIE Hong. Optimization-driven design method of landing gear structure [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2015, 36(3): 857-864.
[12]	TDOA and FDOA measurements ZHOU Cheng, HUANG Gaoming, SHAN Hongchang, GAO Jun. Bias compensation algorithm based on maximum likelihood estimation for passive localization using TDOA and FDOA measurements [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2015, 36(3): 979-986.
[13]	LI Bin, TANG Jing, DENG Youqi, ZHANG Yaobing. Application of Parallel Multigrid Algorithm to Discrete Adjoint Optimization [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2014, 35(8): 2091-2101.
[14]	CAO Yalu, PENG Li. An Improved Source Localization Algorithm in Presence of Sensor Location Errors [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2014, 35(7): 1992-1998.
[15]	LI Bin, DENG Youqi, TANG Jing, LV Hongying. Discrete Adjoint Optimization Method for 3D Unstructured Grid [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2014, 35(3): 674-686.