Topology Optimization of Composite Plate Structures for Acoustic Radiation using Parameterized Level Set Method
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摘要: 围绕自由阻尼复合板的阻尼层分布形式对结构声辐射特性的影响，采用基于全局支撑径向基函数（GSRBF）插值的参数化水平集方法，提出了一种以复合板表面法向复振速幅值之和作为简化目标的声辐射特性优化方法。在阻尼层材料体积分数约束下，求解目标函数的变分并构建水平集函数速度场，以数值算例验证了该简化模型在避免复杂计算的同时能有效降低结构声辐射功率，说明参数化水平集方法用于基于声辐射特性的复合板结构拓扑优化是行之有效的。Abstract: Considering the influence of the free damping layer distribution, this paper proposed an optimization method for the acoustic radiation reduction of the composite plate in vehicle. Taking the sum of the amplitudes of the normal vibration velocity of the composite plate as the simplified target, a parameterized level set method based on globally supported radial basis function (GSRBF) interpolation was adopted. Under the constraint of the material volume fraction of the damping layer, the variation of the objective function was solved to obtain the velocity field of level set function. A numerical example was used to verify that the model can reduce the acoustic radiation power while avoiding complex calculations. It is proved that the parameterized level set method is effective for the topology optimization of composite plate structure for acoustic radiation reduction.
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表 1 材料参数
材料特性 基板 粘弹性层 长×宽×厚/m 0.4×0.3×0.001 0.4×0.3×0.002 密度/(kg·m-3) 7 900 1 400 杨氏模量/GPa 210 0.5 泊松比 0.3 0.49 材料损耗因子 - 0.5 
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[1] Lall A K, Nakra B C, Asnani N T. Optimum design of viscoelastically damped sandwich panels[J]. Engineering Optimization, 1983, 6(4):197-205 doi: 10.1080/03052158308902470 [2] Alvelid M, Enelund M. Modelling of constrained thin rubber layer with emphasis on damping[J]. Journal of Sound and Vibration, 2007, 300(3-5):662-675 doi: 10.1016/j.jsv.2006.08.031 [3] 徐伟, 张志飞, 庾鲁思, 等.附加自由阻尼板阻尼材料降噪拓扑优化[J].振动与冲击, 2017, 36(11):192-198, 223 http://www.cnki.com.cn/Article/CJFDTotal-ZDCJ201711031.htmXu W, Zhang Z F, Yu L S, et al. Topology optimization for noise reduction of structures with free damping[J]. Journal of Vibration and Shock, 2017, 36(11):192-198, 223(in Chinese) http://www.cnki.com.cn/Article/CJFDTotal-ZDCJ201711031.htm [4] 刘海, 高行山, 常俊玲.加筋板自由阻尼铺层的拓扑优化研究[J].强度与环境, 2014, 41(2):27-33 http://www.cqvip.com/QK/90906X/201402/49617165.htmlLiu H, Gao H S, Chang J L. Damping material optimal distribution of stiffened plate with free damping treatment using topology optimization[J]. Structure & Environment Engineering, 2014, 41(2):27-33(in Chinese) http://www.cqvip.com/QK/90906X/201402/49617165.html [5] 王睿, 张晓鹏, 吴良武, 等.考虑瞬态响应的薄板结构阻尼材料层拓扑优化[J].工程力学, 2015, 32(6):1-7, 14 http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=gclx201506001Wang R, Zhang X P, Wu L W, et al. Topology optimization of damping layer in thin-plate structures considering transient response[J]. Engineering Mechanics, 2015, 32(6):1-7, 14(in Chinese) http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=gclx201506001 [6] Sigmund O. Materials with prescribed constitutive parameters:an inverse homogenization problem[J]. International Journal of Solids and Structures, 1994, 31(17):2313-2329 doi: 10.1016/0020-7683(94)90154-6 [7] Mlejnek H P, Schirrmacher R. An engineer's approach to optimal material distribution and shape finding[J]. Computer Methods in Applied Mechanics and Engineering, 1993, 106(1-2):1-26 doi: 10.1016/0045-7825(93)90182-W [8] Querin O M, Young V, Steven G P, et al. Computational efficiency and validation of bi-directional evolutionary structural optimisation[J]. Computer Methods in Applied Mechanics and Engineering, 2000, 189(2):559-573 doi: 10.1016/S0045-7825(99)00309-6 [9] Wang W W, Ye H L, Sui Y K. Lightweight topology optimization with buckling and frequency constraints using the independent continuous mapping method[J]. Acta Mechanica Solida Sinica, 2019, 32(3):310-325 doi: 10.1007/s10338-019-00088-5 [10] Guirguis D, Hamza K, Aly M, et al. Multi-objective topology optimization of multi-component continuum structures via a Kriging-interpolated level set approach[J]. Structural and Multidisciplinary Optimization, 2015, 51(3):733-748 doi: 10.1007%2fs00158-014-1154-3 [11] Liu T, Wang S T, Li B, et al. A level-set-based topology and shape optimization method for continuum structure under geometric constraints[J]. Structural and Multidisciplinary Optimization, 2014, 50(2):253-273 http://dl.acm.org/citation.cfm?id=2659948 [12] Okamoto Y, Masuda H, Kanda Y, et al. Improvement of topology optimization method based on level set function in magnetic field problem[J]. COMPEL-The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, 2018, 37(2):630-644 doi: 10.1108/COMPEL-12-2016-0528 [13] Wei P, Li Z Y, Li X P, et al. An 88-line MATLAB code for the parameterized level set method based topology optimization using radial basis functions[J]. Structural and Multidisciplinary Optimization, 2018, 58(2):831-849 http://smartsearch.nstl.gov.cn/paper_detail.html?id=315d8e7a2146d411221f5ce9b0953497 [14] Chandra N, Raja S, Nagendra Gopal K V. Vibro-acoustic response and sound transmission loss analysis of functionally graded plates[J]. Journal of Sound and Vibration, 2014, 333(22):5786-5802 doi: 10.1016/j.jsv.2014.06.031 [15] Li H, Gao L, Li P G. Topology optimization of structures under multiple loading cases with a new compliance-volume product[J]. Engineering Optimization, 2014, 46(6):725-744 doi: 10.1080/0305215X.2013.800054 [16] Ansari M, Khajepour A, Esmailzadeh E. Application of level set method to optimal vibration control of plate structures[J]. Journal of Sound and Vibration, 2013, 332(4):687-700 doi: 10.1016/j.jsv.2012.09.006 -
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