多层黏弹性复合材料结构阻尼性能优化设计
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摘要
针对多层黏弹性复合材料结构阻尼性能设计优化问题,运用能量法既考虑其面内应变能,又考虑其横向剪切应变能,建立其损耗因子的计算模型,并用实验方法验证其挠度函数的可行性。然后以多层黏弹性复合材料结构的损耗因子最大化为优化目标,用改进遗传算法对其阻尼性能进行单变量和多变量优化设计。数值结果表明,应用遗传算法优化设计多层黏弹性复合材料结构阻尼性能效果明显。多变量优化设计的结果优于单变量优化设计,多层黏弹性复合材料结构的损耗因子由原始设计的0.184增大到优化设计后的0.287。
For the damping optimization of composite structures with multi-interleaved viscoelastic layers,a computational model is built for the loss factor by the energy method,in which the strain energy stored in the in-plane as well as in transverse shear is considered,and its deflection function is assured to be perfect by means of an experimental method.The optimization goal is the maximum of the loss factor of composite structures with multi-interleaved viscoelastic layers.Optimization designs are made of a single variable and multi-variables optimization for the loss factor by improved genetic algorithms.The numerical results show that the improved genetic algorithms are available for the damping optimization design of composite structures with multi-interleaved viscoelastic layers,and that the multi-variable optimization design is better than single variable optimization design.After the damping optimization design,the loss factor of composite structures with multi-interleaved viscoelastic layers is improved from the original result of 0.184 to 0.287.
For the damping optimization of composite structures with multi-interleaved viscoelastic layers,a computational model is built for the loss factor by the energy method,in which the strain energy stored in the in-plane as well as in transverse shear is considered,and its deflection function is assured to be perfect by means of an experimental method.The optimization goal is the maximum of the loss factor of composite structures with multi-interleaved viscoelastic layers.Optimization designs are made of a single variable and multi-variables optimization for the loss factor by improved genetic algorithms.The numerical results show that the improved genetic algorithms are available for the damping optimization design of composite structures with multi-interleaved viscoelastic layers,and that the multi-variable optimization design is better than single variable optimization design.After the damping optimization design,the loss factor of composite structures with multi-interleaved viscoelastic layers is improved from the original result of 0.184 to 0.287.
引文
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[3]Zehnder N,Ermanni P.A methodology for the global op-timization of laminated composite structures[J].Compos-ite Structures,2006,72(3):311-320.
[4]Ungar E E,Kerwin E M.Loss factors of viscoelastic sys-tems in terms of energy concepts[J].Journal of AcousticalSociety of America,1962,34(2):954-958.
[5]Kristensen R F,Nielsen K L,Mikkelsen L P.Numericalstudies of shear damped composite beams using a con-strained damping layer[J].Composite Structures,2008,83(3):304-311.
[6]任志刚,卢哲安,楼梦麟.复合夹层结构频率及损耗因子的计算[J].地震工程与工程振动,2004,24(2):101-106.Ren Zhigang,Lu Zhean,Lou Menglin.Calculation of fre-quency and loss factor of composite sandwich structures[J].Earthquake Engineering and Engineering Vibration,2004,24(2):101-106.(in Chinese)
[7]杨加明,钟小丹.复合材料夹杂双层黏弹性材料的应变能和阻尼性能分析[J].工程力学,2010,27(3):212-216.Yang Jiaming,Zhong Xiaodan.Strain energy and dampinganalysis of composite laminates with two interleaved visco-elastic layers[J].Engineering Mechanics,2010,27(3):212-216.(in Chinese)
[8]Berthelot J M.Damping analysis of laminated beams andplates using the Ritz method[J].Composite Structures,2006,74(2):186-201.
[9]符拉索夫.壳体的一般理论[M].薛振东,朱世靖译.北京:人民教育出版社,1960.Falasov.The general theory of shells[M].Xue Zhen-dong,Zhu Shijin,Translated.Beijing:People’s EducationPress,1960.(in Chinese)
[10]张少实,庄茁.复合材料与黏弹性力学[M].北京:机械工业出版社,2005.Zhang Shaoshi,Zhuang Zhuo.Composite materials andvisco-elasticity[M].Beijing:China Machine Press,2005.(in Chinese)
[11]Wen S C,Luo F,Mo H Q,et al.The analysis of the localsearch efficiency of genetic neural networks and the im-provement of algorithm[C]∥Proceeding of the 4thWorld Congress on Intelligent Control and Automation.2002:1789-1793.
[12]Eiben A E,Aarts E H,van Hee K M.Global conver-gence of genetic algorithms:an infinite Markov chain anal-ysis[C]∥Parallel Problem Solving from Nature.Berlin:Springer-Verlag,1991:4-12.
[13]恽为民,席裕庚.遗传算法的全局收敛性和计算效率分析[J].控制理论与应用,1996,13(4):455-460.Yun Weimin,Xi Yugen.The analysis of global conver-gence and computational efficiency for genetic algorithm[J].Control Theory&Applications,1996,13(4):455-460.(in Chinese)
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