| TIAN Zai-hao,MA Jin-kui,LU Chang-hou,CHEN Shu-jiang,NIE Yu-long.Optimization of Texture Outline with a Combination of Polynomial Function and Logarithmic Spiral Equation[J],47(10):107-115 |
| Optimization of Texture Outline with a Combination of Polynomial Function and Logarithmic Spiral Equation |
| Received:July 14, 2018 Revised:October 20, 2018 |
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| DOI：10.16490/j.cnki.issn.1001-3660.2018.10.014 |
| KeyWord:hybrid rotary table texture outline load-carrying capacity polynomial function logarithmic spiral equation optimization |
| Author | Institution |
| TIAN Zai-hao |
School of Mechanical Engineering, Shandong University, Jinan , China |
| MA Jin-kui |
School of Mechanical Engineering, Shandong University, Jinan , China |
| LU Chang-hou |
School of Mechanical Engineering, Shandong University, Jinan , China |
| CHEN Shu-jiang |
School of Mechanical Engineering, Shandong University, Jinan , China |
| NIE Yu-long |
School of Mechanical Engineering, Shandong University, Jinan , China |
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| Abstract: |
| The work aims to optimize and design the hydrodynamic texture outline of novel hybrid rotary table to improve its load-carrying capacity. Firstly, the load-carrying property of the texture was calculated and the load-carrying capacity (LCC) was set as the objective function. The texture outline was expressed for logarithmic spiral equation based on polynomial function and the coefficients of the polynomial function were determined as design variables to set up the optimization model. Cuckoo Search was applied to solve the optimization model and the law of the optimal solution under various structural parameters was discussed. Finally, lubrication performance of textures with optimal outline and optimal spiral angle was compared. In consideration of computational accuracy and time, quadratic polynomial function of radius was selected as spiral angle. Optimal texture outline bended clockwise and then anticlockwise with the increase of radius, and the spiral angle increased and then declined. With the increasing film thickness, the clockwise bending tendency was more obvious, the minimal angle and final angle were smaller and the maximal hydrodynamic LCC (HLCC) was smaller. With the increasing number of textures, spiral angle on each point of the outline was smaller while the maximal HLCC was larger. The optimization and design method breaks through the limitation of regular shapes and reduces the number of design variable on the basis of more texture outlines further. Compared with the optimal texture of single spiral angle, the texture under the optimal outline has more lubrication performance and verifies the application value of the design scheme. |
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