Ji J, Ding XH, Xiong M (2014) Optimal stiffener layout of plate/shell structures by bionic growth method. Ji J, Ding XH (2014) Stiffener layout optimization of inlet structure for electrostatic precipitator by improved adaptive growth method. Guest JK, Prévost JH, Belytschko T (2004) Achieving minimum length scale in topology optimization using nodal design variables and projection functions. Guest JK, Prévost JH (2006) Optimizing multifunctional materials: design of microstructures for maximized stiffness and fluid permeability. In: Iutam symposium on topological design optimization of structures, machines and materials: status and perspectives, vol 137, pp 527–536 Guedes JM, Lubrano E, Rodrigues HC, Turteltaub S (2006) Hierarchical optimization of material and structure for thermal transient problems. Struct Multidiscip Optim 35(2):107–115ĭeng JD, Yan J, Cheng GD (2013) Multi-objective concurrent topology optimization of thermoelastic structures composed of homogeneous porous material. Acta Mech Sinica 29(4):550–556Ĭoelho PG, Fernandes PR, Guedes JM, Rodrigues HC (2008) A hierarchical model for concurrent material and topology optimization of three-dimensional structures. Int J Solids Struct 17(3):305–323Ĭheng GD, Cai YW, Xu L (2013) Novel implementation of homogenization method to predict effective properties of periodic materials. Int J Solids Struct 51(1):284–292Ĭheng KT, Olhoff N (1981) An investigation concerning optimal design of solid elastic plates. Comput Methods Appl Mech Eng 190(26–27):3443–3459Ĭai Y, Xu L, Cheng GD (2014) Novel numerical implementation of asymptotic homogenization method for periodic plate structures. Int J Numer Methods Eng 50(9):2143–2158īruns TE, Tortorelli DA (2001) Topology optimization of non-linear elastic structures and compliant mechanisms. North Holland Publ, Amsterdamīourdin B (2001) Filters in topology optimization. Springer Berlin, Heidelberg, New Yorkīensoussan A, Lions JL, Papanicolaou G (1978) Asymptotic analysis for periodic structures. Comput Methods Appl Mech Eng 71(2):197–224īendsøe MP, Sigmund O (2003) Topology optimization: theory, methods and applications, 2nd edn. Struct Optim 1:193–202īendsøe MP, Kikuchi N (1988) Generating optimal topologies in structural design using a homogenization method. Kluwer Academic Publ, Dordrechtīendsøe MP (1989) Optimal shape design as a material distribution problem. Int J Numer Methods Eng 13(2):373–384īakhvalov N, Panasenko G (1989) Homogenisation: averaging process in periodic media. Calc Var 1(1):55–69Īrmand JL, Lodier B (1978) Optimal design of bending elements. Three numerical examples are given to show the validity of this method.Īmbrosio L, Buttazzo G (1993) An optimal-design problem with perimeter penalization. Several numerical implementation details are discussed.
Macro plate software#
On basis of that, this paper implements the sensitivity analysis of out-of-plane buckling load by using commercial FEA software and enables the application of gradient-based search algorithm in optimization. The new numerical implementation of asymptotic homogenization method (NIAH, Cheng (Acta Mech Sinica 29(4): 550–556, 2013) and Cai (Int J Solids Struct 51(1), 284–292, 2014) is applied to homogenization of periodic plate structures and analytic sensitivity analysis of effective stiffness with respect to the topological design variables in both macro-scale and micro-scale. The volume preserving nonlinear density filter is applied to obtain the black-white optimum topology and comparison of its different sensitivities is made to show the reason for oscillation during optimization process in Appendix. The artificial element material densities in both macro and micro-scale are chosen as design variables.
Both plate topology and micro-structural topology of porous material or stiffener layout are concurrently optimized. The pattern of prescribed in-plane external load or displacements along the part of boundaries, which move freely, is given. The plate material, thickness, design domain of its middle plane and boundary conditions are given. Another is uniformly stiffened solid plate. One is made of periodic homogeneous porous material. This paper studies maximum out-of-plane buckling load design of thin bending plates for a given amount of material.
0 kommentar(er)
