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Novel steel wheel design based on multi-objective topology optimization
Denghong Xiao,Hai Zhang,Xiandong Liu,Tian He,Yingchun Shan 대한기계학회 2014 JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY Vol.28 No.3
This paper aims to propose a multi-objective topology optimization methodology for steel wheel, in which both the compliance andeigenfrequencies are regarded as static and dynamic optimization objectives. Compromise programming method is employed to definethe objectives of multi-objective and multi-stiffness topology optimizations, whereas mean-frequency formulation is adopted to settleeigenfrequencies of free vibration optimization. To obtain a clear and useful topology optimization result, cyclical symmetry and manufacturingconstraints are set, the influences of which on the outcomes are also discussed. With an appropriate value of the minimummember size, a rough topology optimization of the steel wheel is obtained. The optimization result is modified according to the actualstructure and manufacturing process. Moreover, based on this result, eight different steel wheel modes are established to analyze the influenceof the manufacturing process and draw beads on the wheel performance through finite element simulation. Simulation results areverified by conducting a stress test of a commercially available wheel. Compared with its initial design, the optimized wheel disc exhibiteddecreased mass at 0.15 Kg at percentage of 4.57%, manifesting the effectiveness of the proposed method.
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Calculation of dynamic stress intensity factors and T-stress using an improved SBFEM
Xinran Tian,Chengbin Du,Shangqiu Dai,Denghong Chen 국제구조공학회 2018 Structural Engineering and Mechanics, An Int'l Jou Vol.66 No.5
The scaled boundary finite element method is extended to evaluate the dynamic stress intensity factors and T-stress with a numerical procedure based on the improved continued-fraction. The improved continued-fraction approach for the dynamic stiffness matrix is introduced to represent the inertial effect at high frequencies, which leads to numerically better conditioned matrices. After separating the singular stress term from other high order terms, the internal displacements can be obtained by numerical integration and no mesh refinement is needed around the crack tip. The condition numbers of coefficient matrix of the improved method are much smaller than that of the original method, which shows that the improved algorithm can obtain well-conditioned coefficient matrices, and the efficiency of the solution process and its stability can be significantly improved. Several numerical examples are presented to demonstrate the increased robustness and efficiency of the proposed method in both homogeneous and bimaterial crack problems.
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Calculation of dynamic stress intensity factors and T-stress using an improved SBFEM
Tian, Xinran,Du, Chengbin,Dai, Shangqiu,Chen, Denghong Techno-Press 2018 Structural Engineering and Mechanics, An Int'l Jou Vol.66 No.5
The scaled boundary finite element method is extended to evaluate the dynamic stress intensity factors and T-stress with a numerical procedure based on the improved continued-fraction. The improved continued-fraction approach for the dynamic stiffness matrix is introduced to represent the inertial effect at high frequencies, which leads to numerically better conditioned matrices. After separating the singular stress term from other high order terms, the internal displacements can be obtained by numerical integration and no mesh refinement is needed around the crack tip. The condition numbers of coefficient matrix of the improved method are much smaller than that of the original method, which shows that the improved algorithm can obtain well-conditioned coefficient matrices, and the efficiency of the solution process and its stability can be significantly improved. Several numerical examples are presented to demonstrate the increased robustness and efficiency of the proposed method in both homogeneous and bimaterial crack problems.
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