Two-field topology optimization algorithm is suggested for the optimal design of rib-stiffened fiber-reinforced plates. Additional nodal variables related to the local thickness of plate and local angle of fiber orientation are incorporated in a standard topology optimization approach. Minimal compliance design problems are solved for several examples with rectangular Reissner–Mindlin plates subjected to the transverse concentrated and distributed loads. Possibility for simultaneous assessments on the optimal geometry of curvilinear ribs and fibers trajectories is shown. Efficiency of algorithm is evaluated and compared to the conventional variable-thickness topology optimization results for isotropic plates.
RibeiroPAkhavanHTeterA, et al. A review on the mechanical behaviour of curvilinear fibre composite laminated panels. J Compos Mat2014; 48(22): 2761–2777.
2.
SotovAZaytsevAAbdrahmanovaA, et al. Additive manufacturing of continuous fibre reinforced polymer composites using industrial robots: a review. Powder Metall Funct Coat2024; 18(1): 20–30.
3.
KumekawaNMoriYTanakaH, et al. Experimental evaluation of variable thickness 3D printing of continuous carbon fiber-reinforced composites. Compos Struct2022; 288: 115391.
4.
MalakhovAPolilovA.Design of composite structures reinforced curvilinear fibres using FEM. Compos Part A Appl Sci Manuf2016; 87: 23–28.
5.
TanakaHMoriYKumekawaN, et al. Optimization of fiber orientation and layer thickness in thin carbon fiber-reinforced plastic curved structures. Compos Part C Open Access2023; 12: 100381.
6.
VasilievVVMorozovEV.Advanced mechanics of composite materials and structures. Amsterdam: Elsevier, 2018.
7.
LurieSSolyaevYOKoshurinaA, et al. Design of the corrugated-core sandwich panel with external active cooling system. Compos Struct2018; 188: 278–286.
8.
SolyaevYLurieSKoshurinaA, et al. On a combined thermal/mechanical performance of a foam-filled sandwich panels. Int J Eng Sci2019; 134: 66–76.
9.
ZhuWYuXWangY.Layout optimization for blended wing body aircraft structure. Int J Aeronaut Space Sci2019; 20(4): 879–890.
10.
Rais-RohaniMLokitsJ.Reinforcement layout and sizing optimization of composite submarine sail structures. Struct Multidisc Optim2007; 34: 75–90.
11.
MoriYMatsuzakiRKumekawaN.Variable thickness design for composite materials using curvilinear fiber paths. Compos Struct2021; 263: 113723.
12.
ChengKTOlhoffN.An investigation concerning optimal design of solid elastic plates. Int J Solids Struct1981; 17(3): 305–323.
13.
LitvinovV.Optimal control of the natural frequency of a plate of variable thickness. USSR Comput Math Math Phys1979; 19(4): 70–86.
14.
MunozJPedregalP.A review of an optimal design problem for a plate of variable thickness. SIAM J Control Optim2007; 46(1): 1–13.
15.
DugréAVadeanA, et al. Challenges of using topology optimization for the design of pressurized stiffened panels. Struct Multidisc Optim2016; 53(2): 303–320.
16.
KoKYSolyaevYLurieS, et al. Theoretical and experimental validation of the variable-thickness topology optimization approach for the rib-stiffened panels. Contin Mech Thermodyn2023; 35(4): 1787–1806.
17.
Keng-TunoC.On non-smoothness in optimal design of solid, elastic plates. Int J Solids Struct1981; 17(8): 795–810.
18.
NiordsonF.Optimal design of elastic plates with a constraint on the slope of the thickness function. Int J Solids Struct1983; 19(2): 141–151.
19.
BouchittéGFragalàISeppecherP.Structural optimization of thin elastic plates: the three dimensional approach. Arch Ration Mech Anal2011; 202(3): 829–874.
20.
LamYSanthikumarS.Automated rib location and optimization for plate structures. Struct Multidisc Optim2003; 25(1): 35–45.
21.
KoKYSolyaevY.Explicit benchmark solution for topology optimization of variable-thickness plates. Math Mech Complex Syst2023; 11(3): 381–392.
22.
JonesRM.Mechanics of composite materials. Boca Raton, FL: CRC Press, 2018.
23.
TotaroG.Optimal design concepts for flat isogrid and anisogrid lattice panels longitudinally compressed. Compos Struct2015; 129: 101–110.
ChernyshevSDubovikovEIonovA, et al. Basic principles for creating light, efficient and safe structures for the next generation supersonic transport. Acta Astronaut2023; 204: 728–737.
26.
KondakovIChernovAShanyginA, et al. Protection of aircraft lattice shell made of UD CFRP ribs from low-velocity impacts. Mech Compos Mater2022; 57(6): 721–730.
