Topology optimization of multi-directional variable thickness thin plate with multiple materials

Banh, Thanh T.; Lee, Dongkyu

doi:10.1007/s00158-018-2143-8

Cited by 35 publications

(8 citation statements)

References 25 publications

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“…Substituting Eqs. (13), (19), (26) and (27) into Eq. (11) and using following relation for conical shells:…”

Section: Governing Equationsmentioning

confidence: 99%

“…Reduction in weight and increase in strength and stiffness of structures is one of the most important challenges for mechanical engineers which has been solved in the recent years using multi-phase materials [17][18][19] and different types of nanoreinforcements such as single-walled carbon nanotubes (SWC-NTs), multi-walled carbon nanotubes (MWCNTs) and GNPs. In comparison with SWCNTs and MWCNTs, GNPs have bigger specific surface area which creates stronger bonding with the matrix and significantly enhanced load transfer capability [20].…”

Section: Introductionmentioning

confidence: 99%

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Effect of graphene nanoplatelet reinforcements on the dynamics of rotating truncated conical shells

Afshari

2020

J Braz. Soc. Mech. Sci. Eng.

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In this paper, a parametric study is presented for free vibration analysis of rotating truncated conical shells reinforced with graphene nanoplatelets (GNPs). The composite shell is considered to be composed of epoxy as the matrix and the GNPs which are distributed along the thickness direction based on the various distribution patterns. The shell is modeled based on the first-order shear deformation theory (FSDT), and effective material properties are calculated based on the Halpin-Tsai model and the rule of mixture. Incorporating centrifugal and Coriolis accelerations along with initial hoop tension, the set of the governing equations and boundary conditions are derived using Hamilton's principle and are solved numerically using generalized differential quadrature method. Convergence and accuracy of the presented solution are confirmed, and influences of various parameters on the forward and backward frequencies are investigated including circumferential mode number, boundary conditions, rotational speed, semi-vertex angle and also mass fraction, distribution pattern, width and thickness of the GNPs. It is noteworthy that for the first time, the initial hoop tension is incorporated for a rotating conical shell modeled based on the FSDT.

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“…Substituting Eqs. (13), (19), (26) and (27) into Eq. (11) and using following relation for conical shells:…”

Section: Governing Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Effect of graphene nanoplatelet reinforcements on the dynamics of rotating truncated conical shells

Afshari

2020

J Braz. Soc. Mech. Sci. Eng.

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“…Lambe et al 6 proposed a topology optimization method combining continuous material field with adaptive mesh refinement, which used different design and analysis grids to avoid islands of materials in the topology configuration, and adopted Helmholtz-type density filter to avoid some unnecessary small features in the design and analysis of mesh refinement. Banh et al 7 , 8 used topology optimization method to study multiphase material and multiple materials plate structure problem, and then they presented an effective non-homogeneous multi-material topology optimization paradigm for functionally graded structures considering both cracked and non‐cracked cases 9 .…”

Section: Introductionmentioning

confidence: 99%

Topology optimization design of three-dimensional multi-material and multi-body structure based on irregular cellular hybrid cellular automata method

Deng

Chen

et al. 2022

Sci Rep

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In recent years, Hybrid Cellular Automata Method (HCAM) has been successfully applied to solve structural topology optimization problems. However, there was no report on HCAM research of three-dimensional composite structure composed of multiple materials and multiple bodies. Therefore, in this paper, three-dimensional non-cube cells of irregular size (such as tetrahedral cells with adaptive changes inside length) and Finite Element Method (FEM) are introduced to extend HCAM, which is better and more flexibly to fit complex geometric shapes. Furthermore, a better structure configuration of multi-material and multi-body structure is obtained. The typical example study showed that the proposed topology optimization method could effectively remove the redundant materials of multi-material and multi-body structure, and the optimized structure configuration could still meet the requirements of the original condition after geometric reconstructed. Thus it provided a reference for the intelligent design of other products.

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“…One attractive problem in the field of aerospace is the optimization of the blade structure through the improvement of the stiffness and stiffness to mass ratio utilizing the variable thickness technique. 18,[25][26][27][28] Figure 1 shows a schematic description of a rotary blade with the main load-carrying interior variable thickness spar box beam structure. The latter is composed of FGMs which are potentially suitable candidates for aeronautical structures.…”

Section: Introductionmentioning

confidence: 99%

Variable thickness thin-walled rotating blades made of functionally graded porous materials

Farsadi

2022

Proceedings of the Institution of Mechanical Engineers, Part C:

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Within this study, the statics and dynamics performance of turbomachinery variable thickness rotating blades, composed of thin-walled, functionally graded metal-ceramic materials including cross-sectional distributed porosity is optimized. The pre-twisted, tapered, Thin-Wall Rotating Beams (TWRB) with constant angular velocity are considered within this context. For the optimization purpose, a genetic algorithm (GA) is implemented in a nonlinear constraint optimization problem. The goal is to exploit desirable thickness variations with improved dynamic, static, and buckling behavior of the variable thickness functionally graded material (FGM) blades. Hamilton’s principle was applied using the Euler–Lagrange dynamic system of governing equation, while the extended Galerkin’s method (EGM) was applied to solve the equations. Two variables in thickness function for each wall of the beam box (a total of eight variables) are considered in the optimization procedure. The effects of some parameters, such as the FGM volume fraction exponent, angular velocity, the pre-twist angle, porosity coefficient, and taper ratios on the mechanical behavior of the variable thickness FG beams are studied. The optimization result shows that applying the variable thickness concept can significantly increase the 1st and 2nd natural frequencies (by 60.4%, 60.22%) and reduce the weight (by 31.05%) of the system compared to the reference constant thickness beam while the increase in chordwise and flapwise deformations (by 8.16%, 9.93%) under combined loading is in an acceptable range, respectively.

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Topology optimization of multi-directional variable thickness thin plate with multiple materials

Cited by 35 publications

References 25 publications

Effect of graphene nanoplatelet reinforcements on the dynamics of rotating truncated conical shells

Effect of graphene nanoplatelet reinforcements on the dynamics of rotating truncated conical shells

Topology optimization design of three-dimensional multi-material and multi-body structure based on irregular cellular hybrid cellular automata method

Variable thickness thin-walled rotating blades made of functionally graded porous materials

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