田再浩,马金奎,路长厚,陈淑江,聂玉龙.多项式函数结合对数螺旋线方程的织构型线优化[J].表面技术,2018,47(10):107-115.
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].Surface Technology,2018,47(10):107-115 |
| 多项式函数结合对数螺旋线方程的织构型线优化 |
| Optimization of Texture Outline with a Combination of Polynomial Function and Logarithmic Spiral Equation |
| 投稿时间：2018-07-14 修订日期：2018-10-20 |
| DOI：10.16490/j.cnki.issn.1001-3660.2018.10.014 |
| 中文关键词: 动静压转台 织构型线 承载能力 多项式函数 对数螺旋线方程 优化设计 |
| 英文关键词:hybrid rotary table texture outline load-carrying capacity polynomial function logarithmic spiral equation optimization |
| 基金项目:国家自然科学基金项目（51575318） |
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| Author | Institution |
| TIAN Zai-hao | School of Mechanical Engineering, Shandong University, Jinan 250061, China |
| MA Jin-kui | School of Mechanical Engineering, Shandong University, Jinan 250061, China |
| LU Chang-hou | School of Mechanical Engineering, Shandong University, Jinan 250061, China |
| CHEN Shu-jiang | School of Mechanical Engineering, Shandong University, Jinan 250061, China |
| NIE Yu-long | School of Mechanical Engineering, Shandong University, Jinan 250061, China |
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| 中文摘要: |
| 目的 为提高一种新型动静压转台承载能力，对其动压楔形织构型线进行优化设计。方法 首先求解动压楔形织构承载性能，并将其承载能力作为优化目标。以多项式函数结合对数螺旋线方程表达织构型线，并以多项式系数作为设计变量建立优化模型。选用布谷鸟搜索算法求解该优化模型，并探究不同结构参数下的最优解变化规律。最后，比较本方法得到的最优织构和最优单一螺旋角织构的润滑性能。结果 综合考虑计算精度和时间，选取半径的二次多项式函数表达织构型线螺旋角。最优织构型线形状的变化规律为：随半径增大，先顺时针弯折，再逆时针弯折，其螺旋角先增大，再减小。摩擦副膜厚越大，最优型线顺时针弯折趋势越明显，最小螺旋角和终止螺旋角越小，最大动压承载力越小。织构个数越多，型线上各点螺旋角越小，最大动压承载力越大。结论 该优化设计方法突破了规则几何形状的限制，并在表达更多可能织构型线的基础上减少了设计变量个数。相比最优单一螺旋角织构，该最优型线下的织构有更优良的润滑性能，证明了该设计方案的应用价值。 |
| 英文摘要: |
| 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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