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凸函数样条及其应用
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作者 刘松涛 刘根洪 《苏州大学学报(自然科学版)》 CAS 1996年第3期5-12,共8页
本文的主要结果是给出函数样条曲线曲面的两个凸性定理,并给出某些应用。
关键词 函数样条 CAGD 凸曲线 凸曲面 凸函数样条
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凸函数样条及其应用
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作者 刘松涛 刘根洪 《Journal of Mathematical Research and Exposition》 CSCD 1996年第4期546-548,共3页
本文主要结果是利用m条凸曲线的乘积(x,y)或m张凸曲面的乘积代替文献[2]中m条直线的乘积和m张平面的乘积,构造出一族具有高阶光滑接触边界条件的凸曲线和凸曲面,获得比文[2]更一般的结果.
关键词 函数样条 凸曲线 凸曲面 凸函数样条 函数逼近
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Improving cam profile design optimization based on classical splines and dynamic model 被引量:8
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作者 夏必忠 刘新成 +1 位作者 尚欣 任世远 《Journal of Central South University》 SCIE EI CAS CSCD 2017年第8期1817-1825,共9页
Cam profiles play an important part in the performance of cam mechanisms. Syntheses of cam profile designs and dynamics of cam designs are studied at first. Then, a cam profile design optimization model based on the s... Cam profiles play an important part in the performance of cam mechanisms. Syntheses of cam profile designs and dynamics of cam designs are studied at first. Then, a cam profile design optimization model based on the six order classical spline and single DOF(degree of freedom) dynamic model of single-dwell cam mechanisms is developed. And dynamic constraints such as jumps and vibrations of followers are considered. This optimization model, with many advantages such as universalities of applications, conveniences to operations and good performances in improving kinematic and dynamic properties of cam mechanisms, is good except for the discontinuity of jerks at the end knots of cam profiles which will cause vibrations of cam systems. However, the optimization is improved by combining the six order classical spline with general polynomial spline which is the so-called "trade-offs". Finally, improved optimization is proven to have a better performance in designing cam profiles. 展开更多
关键词 cam profile design spline optimization trade-off
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