Topology optimization of continuum structures under frequency excitation load based on dynamic natural element method

被引：0
|
作者：
Xu J. [1 ]
Ma Y. [1 ,2 ]
机构：
[1] Shanghai Institute of Applied Mathematics, Shanghai University, Shanghai
[2] Department of Mechanics, Shanghai University, Shanghai
来源：
Zhendong yu Chongji/Journal of Vibration and Shock | 2019年 / 38卷 / 21期
关键词：
Frequency excitation; Meshless method; dynamics; Natural element method; Topology optimization;
D O I：
10.13465/j.cnki.jvs.2019.21.035
中图分类号：
学科分类号：
摘要：
The natural element method is a meshless one with shape function formed using Voronoi diagram. According to advantages of the natural element method, topology optimization method of continuum structures under frequency excitation load based on dynamic natural element method was proposed. Using isotropic solid micro-structure penalty (ISMP) model, taking relative density of nodes as design variables and the dynamic flexibility being the minimum as the objective, a topology optimization model was built under frequency excitation load. The adjoint analysis method was used to perform sensitivity analysis, and the optimization criteria method was used to solve the optimization model. The numerical example computation results showed that this method can be used not only to obtain the optimization results with chess-free phenomenon, but also has a higher computational efficiency compared with other meshless methods to verify its feasibility and effectiveness. © 2019, Editorial Office of Journal of Vibration and Shock. All right reserved.
引用
下载
收藏
页码：252 / 258
页数：6
相关论文
共 29 条
  • [1] Michell A.G.M., Lviii M.C.E., The limits of economy of material in frame-structures, Philosophical Magazine, 8, 47, pp. 589-597, (1904)
  • [2] Bendsoe M.P., Kikuchi N., Generating optimal topologies in structural design using a homogenization method, Computer Methods in Applied Mechanics & Engineering, 71, 2, pp. 197-224, (1988)
  • [3] Bendsoe M.P., Sigmund O., Material interpolation schemes in topology optimization, Archive of Applied Mechanics, 69, 9-10, pp. 635-654, (1999)
  • [4] Sui Y., Yang D., A new method for structural topological optimization based on the concept of independent continuous variables and smooth model, Acta Mechanica Sinica, 14, 2, pp. 179-185, (1998)
  • [5] Xie Y.M., Steven G.P., A simple evolutionary procedure for structural optimization, Computers & Structures, 49, 5, pp. 885-896, (1993)
  • [6] Xie Y.M., Steven G.P., Evolutionary structural optimization for dynamic problems, Computers & Structures, 58, 6, pp. 1067-1073, (1996)
  • [7] Qiu H., Sui Y., Ye H., Toplogical optimization of the plate structure subjected to the frequency constraints, Chines Journal of Solid Mechanics, 33, 2, pp. 189-198, (2012)
  • [8] Diaaz A.R., Kikuchi N., Solutions to shape and topology eigenvalue optimization problems using a homogenization method, International Journal for Numerical Methods in Engineering, 35, 7, pp. 1487-1502, (2010)
  • [9] Pedersen N.L., Maximization of eigenvalues using topology optimization, Structural & Multidisciplinary Optimization, 20, 1, pp. 2-11, (2000)
  • [10] Wei X., Chen S., Tong G., Optimum design of functionally graded plates via frequency optimization using natural element method, Chinese Quarterly of Mechanics, 1, pp. 135-143, (2017)
123