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An Enhanced Topology Optimization Approach Based on the Combined MMC and NURBS-Curve Boundaries
Rongzhen Zheng,Cheol Kim 한국정밀공학회 2020 International Journal of Precision Engineering and Vol.21 No.8
An efficient topology optimization method is developed newly in this study by combining the Non-uniform rational B-spline (NURBS) curves and moving morphable components (MMC). The MMC-based topology optimization is an explicit and geometrical method that utilizes a set of morphable components to create basic blocks for optimization. Optimum topologies may be obtained by optimizing shapes, lengths, thicknesses, orientations and layout of these components. The combined method adopts a different way in the creation of morphable components that consist of NURBS curves. Various kinds of complicated curved components can be built with NURBS curves or surfaces. Here, the NURBS curve is applied for shaping the geometries of structural basic components, and the coordinates of control points become design variables for topology optimization. A MATLAB optimization code has been developed. Four numerical examples of a short cantilever, a MBB beam, a simply supported beam with two point loadings, and a vehicle lower chassis structure subjected to crash loadings are provided to prove that the combined topology optimization approach coupled with NURBS curves and basic morphable components can get optimum topologies with clear topological boundaries successfully. As results of comparison study with other approaches, we can obtain the same topologies and faster convergence rates for the three separate cases. The combined approach can improve the smoothness of the topological boundaries that are similar to the shape optimization results obtained by post-optimization after the density-based topology optimization.
Rongzhen Zheng,김철 대한기계학회 2023 JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY Vol.37 No.8
Solid-state electrolyte batteries are excellent candidates for the development of safe and high-performance lithium batteries. However, the low ionic conductivity and poor interfacial contact of current solid-state electrolytes severely hinder the commercialization of solidstate batteries. Moreover, a higher stress is caused by the use of solid-state electrolytes compared with that in the case of liquid electrolytes. To increase the physical contact area between the solid/solid interfaces of all-solid-state batteries (ASSBs), this study constructed two types of interfaces with sine-curved and trapezoidal shapes to replace the general planar interface and used the Nelder-Mead algorithm to optimize the curved interface and geometric parameters of the battery cells. ASSBs are composed of a sulfide-based LI6PS5Cl solid electrolyte, a lowdensity lithium metal anode, and a high-theoretical-capacity LCO cathode. The optimization results show that the curved interface can achieve a higher energy density than a flat-interface battery. The stress caused by lithium deposition during battery charging was also calculated. The low modulus of the soft solid electrolyte significantly reduced the stress inside the battery.