Improved Whale Optimization Algorithm and Turbine Disk Structure Optimization

doi:10.3901/JME.2021.20.254

Abstract

Abstract: As one of the core parts of aero engine, the structure of turbine disk can be optimized through intelligent algorithms to improve thrust-weight ratio of the engine. An improved whale optimization algorithm (decomposition evolution based whale optimization algorithm, DEWOA) is proposed to optimize the structure of a turbine disk section. The proposed algorithm is innovatively integrated with differential mutation, crossover operation and conventional mutation to enhance the ability of basic whale optimization algorithm so as to jump out of the local optimum. In particular, the proposed algorithm is embedded in Isight platform, compared with five algorithms and basic whale optimization algorithm in the Isight on eight benchmark functions. The relevant results of mean and variance show the stability and the ability to find the optimal solution of DEWOA. Moreover, a fully automated optimization process is built in Isight on optimization module components chosen DEWOA and finite element analysis method to optimize the structure of a turbine disk. The results are compared with other algorithms as in the compared benchmark functions. Experimental results show that the improved whale optimization algorithm can reduce the weight of the turbine disk by 26.09%, which exceeds the weight reduction ratio of the adaptive simulated annealing algorithm by 2.24%, exceeds the weight reduction ratio of the multi-island genetic algorithm by 5.29%, and exceeds the weight reduction ratio of the whale optimization algorithm by 1.94%. It lags behind the pointer automatic optimization algorithm with a weight reduction ratio of 0.39%, but the improved whale optimization algorithm converges faster and the cost of reaching the optimal solution is lower, which shows the practicality and versatility of the improved whale optimization algorithm in practical engineering problems.

Key words: turbine disk, structure optimization, Isight, loss weight, improved whale optimization algorithm

CLC Number:

V232

ZENG Nianyin, SONG Dandan, LI Han, YAN Cheng, YOU Yancheng. Improved Whale Optimization Algorithm and Turbine Disk Structure Optimization[J]. Journal of Mechanical Engineering, 2021, 57(20): 254-265.

References

[1] MIRJALILI S,LEWIS A. The whale optimization algorithm[J]. Advances in Engineering Software,2016,95(95):51-67.
[2] 岳晓宇,彭显刚,林俐. 鲸鱼优化支持向量机的短期风电功率预测[J]. 电力系统及其自动化学报,2020,32(2):146-150. YUE Xiaoyu,PENG Xiangang,LIN Li. Short-term wind power forecasting based on whales optimization algorithm and support vector machine[J]. Proceedings of the CSU-EPSA,2020,32(2):146-150.
[3] 褚鼎立,陈红,宣章健. 基于改进鲸鱼优化算法的盲源分离方法[J]. 探测与控制学报,2018,40(5):76-81. CHU Dinli,CHEN Hong,XUAN Zhangjian. Blind source separation based on improved whale optimization algorithm[J]. Journal of Detection & Control,2018,40(5):76-81.
[4] 宋婷婷,张达敏,王依柔,等. 基于改进鲸鱼优化算法的WSN覆盖优化[J]. 传感技术学报,2020,33(3):415-422. SONG Tingting,ZHANG Damin,WANG Yirou,et al. WSN. Coverage optimization based on improved whale optimization algorithm[J]. Chinese Journal of Sensors and Actuators,2020,33(3):415-422.
[5] ELAZIZ M A,OLIVA D. Parameter estimation of solar cells diode models by an improved opposition-based whale optimization algorithm[J]. Energy Conversion and Management,2018,171:1843-1859.
[6] ALAMRI H S,ALSARIERA Y A,ZAMLI K Z. Opposition-based whale optimization algorithm[J]. Advanced Science Letters,2018,24(10):7461-7464.
[7] ZHOU Y Q,LING Y,LUO Q F. Levy flight trajectory-based whale optimization algorithm for global optimization[J]. IEEE Access,2017,5:6168-6186.
[8] SUN Y J,WANG X L,CHEN Y H,et al. A modified whale optimization algorithm for large-scale global optimization problems[J]. Expert Systems with Applications,2018,114:563-577.
[9] ABDEL-BASSET M,ABDEL-FATAH L,SANGAIAH A K. An improved Levy based whale optimization algorithm for bandwidth-efficient virtual machine placement in cloud computing environment[J]. Cluster Computing,2018,22:8319-8334.
[10] ABDEL-BASSET M,EI-SHAHAT D,SANGAIAH A K. A modified nature inspired meta-heuristic whale optimization algorithm for solving 0-1 knapsack problem[J]. International Journal of Machine Learning and Cybernetics,2017,10(1):1-20.
[11] GAGANPREET K,SANKALAP A. Chaotic whale optimization algorithm[J]. Journal of Computational Design and Engineering,2018,3:275-284.
[12] ISMAIL S G,ASHRAF D,ELLA H A. A new chaotic whale optimization algorithm for features selection[J]. Journal of Classification,2018,35:300-344.
[13] YUAN P L,GUO C J,ZHENG Q,et al. Sidelobe suppression with constraint for MIMO radar via chaotic whale optimization[J]. Electronics Letters,2018,54(5):311-313.
[14] OLIV D,AZIZ M A E,HASSANIEN A E. Parameter estimation of photovoltaic cells using an improved cha otic whale optimization algorithm[J]. Applied Energy,2017,200:141-154.
[15] PRASAD D,MUKHERJEE A,MUKHERJEE V. Transient stability constrained optimal power flow using chaotic whale optimization algorithm[J]. Handbook of Neural Computation,2017:311-332.
[16] PRASAD D,MUKHERJEE A,SHANKAR G,et al. Application of chaotic whale optimization algorithm for transient stability constrained optimal power flow[J]. IET Science,Measurement & Technology,2017,11(8):1002-1013.
[17] SUN W Z,WANG J S. Elman neural network soft-sensor model of conversion velocity in polymerization process optimized by chaos whale optimization algorithm[J]. IEEE Access,2017,5:13062-13076.
[18] 郭中泽,张卫红,陈裕泽. 结构拓扑优化设计综述[J]. 机械设计,2007,24(8):1-6. GUO Zhongze,ZHANG Weihong,CHEN Yuze. An overview on the topological optimization design of structures[J]. Journal of Machine Design,2007,24(8):1-6.
[19] 金赛英,陈铁锋. 航空发动机多辐板轮盘结构优化[J]. 现代制造技术与装备,2017(8):29-31. JIN Saiying,CHEN Tiefeng. Multi-web disk structure optimization for aircraft engine[J]. Modern Manufacturing Technology and Equipment,2017(8):29-31.
[20] 罗莉,黄大永,陈亚龙,等. 航空发动机轮盘参数化结构优化[J]. 计算机辅助工程,2017,26(2):7-13. LUO Li,HUANG Dayong,CHEN Yalong,et al. Parameterized structural optimization on aero-engine turbine disk[J]. Computer Aided Engineering,2017,26(2):7-13.
[21] 陈铁锋,金赛英. 基于Isight的民用航空发动机轮盘优化设计[J]. 现代制造技术与装备,2017(6):67-70. CHEN Tiefeng,JIN Saiying. Optimization design of the aircraft engine disk based on Isight software[J]. Modern Manufacturing Technology and Equipment,2017(6):67-70.
[22] LI J,FAN N,ZHAO X C. Combined static and dynamic optimization of a turbine disk[C]//American Society of Mechanical Engineers. Canada:Montreal. 2014:14-20.
[23] KASINA L,KOTUR R,GNANASUNDARAM G. Minimum Weight Design of Aero Engine TurbineDisks[C]//ASME 2015 Gas Turbine India Conference. India:Hyderabad,2015:2-3.
[24] GUTZWILLER D P,TURNER M G. Rapid low fidelity turbomachinery disk optimization[J]. Advances in Engineering Software,2010,41(5):779-791.
[25] 高琨鹏,陈兵,徐旭. 基于PNS算法的高超声速内转式进气道优化设计[J]. 推进技术,2017,38(5):998-1007. GAO Kunpeng,CHEN Bing,XU Xu. Optimization design of hypersonic inward turning inlet based on SSPNS algorithm[J]. Journal of Propulsion Technology,2017,38(5):998-1007.
[26] 刘辉,蔡仲昌,曹华夏,等. 基于iSIGHT平台的车辆动力传动系统联轴器刚度优化研究[J]. 兵工学报,2012,33(2):227-231. LIU Hui,CAI Zhongchang,CAO Huaxia,et al. The optimization study on the stiffness of coupling in vehicle powertrain based on iSIGHT platform[J]. Acta Armamentarii,2012,33(2):227-231.
[27] 陈云海,王芳丽,何巍,等. 复合材料飞艇吊舱结构优化方法研究[J]. 机械设计与制造工程,2020,19(8):56-60. CHEN Yunhai,WANG Fangli,HE Wei,et al. Research on the structural optimization method of a composite airship nacelle[J]. Machine Design and Manufacturing Engineering,2020,19(8):56-60.
[28] 杨旭,刘莹,乔鑫. 隐式参数化发动机舱盖结构轻量化研究[J]. 汽车实用技术,2018,273(18):187-190. YANG Xu,LIU Ying,QIAO Xin. Research on light weight of implicit parametric engine hood structure[J]. Automobile Applied Technology,2018,273(18):187-190.
[29] 马天飞,崔泽飞,佟静. 基于Isight和AMESim的液压减振器关键参数集成优化[J]. 汽车工程,2015,37(1):97-101. MA Tianfei,CUI Zefei,TONG Jing. Integrated optimization of the key parameters of hydraulic shock absorber based on Isight and AMEsim software[J]. Automotive Engineering,2015,37(1):97-101.
[30] 贾腾飞,张洪信,赵清海,等. 基于Isight与Cruise耦合计算的汽车传动比优化[J]. 机械制造,2017,55(10):104-107. JIA Tengfei,ZHANG Hongxin,ZHAO Qinghai,et al. Automobile transmission ratio optimization based on coupling calculation of Isight and Cruise[J]. Machinery,2017,55(10):104-107.