Latin hypercube design and uniform design are two kinds of most popular space-filling designs for computer experiments. The fact that the run size equals the number of factor levels in a Latin hypercube design makes i...Latin hypercube design and uniform design are two kinds of most popular space-filling designs for computer experiments. The fact that the run size equals the number of factor levels in a Latin hypercube design makes it difficult to be orthogonal. While for a uniform design, it usually has good space-filling properties, but does not necessarily have small or zero correlations between factors. In this paper, we construct a class of column-orthogonal and nearly column-orthogonal designs for computer experiments by rotating groups of factors of orthogonal arrays, which supplement the designs for computer experiments in terms of various run sizes and numbers of factor levels and are flexible in accommodating various combinations of factors with different numbers of levels. The resulting column-orthogonal designs not only have uniformly spaced levels for each factor but also have uncorrelated estimates of the linear effects in first order models. Further, they are 3-orthogonal if the corresponding orthogonal arrays have strength equal to or greater than three. Along with a large factor-to-run ratio, these newly constructed designs are economical and suitable for screening factors for physical experiments.展开更多
罗汉果是广西特产,罗汉果属植物的果实。在单因素实验的基础上,利用微波萃取系统,进行二次回归旋转正交组合实验,确定了微波辐射条件下不同的物理参数(辐射功率、辐射时间、溶剂量等)对提取率的影响,优化的微波辅助提取最适工艺条件是:...罗汉果是广西特产,罗汉果属植物的果实。在单因素实验的基础上,利用微波萃取系统,进行二次回归旋转正交组合实验,确定了微波辐射条件下不同的物理参数(辐射功率、辐射时间、溶剂量等)对提取率的影响,优化的微波辅助提取最适工艺条件是:乙醇浓度40%;微波辐射功率495 W;辐射时间6 m in;提取压力0.1 MPa;原料粉碎度100目;固液比1∶30。在此条件下,罗汉果皂苷一次提取率可达76%。展开更多
为了提高深松机作业过程中土壤疏松效果,降低机具的工作阻力,选用1SZ型振动式深松机,在土槽试验平台中进行了相应的振动减阻机理试验研究。首先设计了基于LABVIEW的软件测试系统,选取了扭矩、拉力、角度传感器等传感器及NI主机,基于五...为了提高深松机作业过程中土壤疏松效果,降低机具的工作阻力,选用1SZ型振动式深松机,在土槽试验平台中进行了相应的振动减阻机理试验研究。首先设计了基于LABVIEW的软件测试系统,选取了扭矩、拉力、角度传感器等传感器及NI主机,基于五杆测力原理,构建了测试硬件系统,并选取机具的前进速度V0、振幅a=R s i nε和振动角β这3个主要因素进行三元二次回归正交旋转组合试验。试验表明:振动角对试验结果影响最大;得出的回归方程表明:当机具前进速度0.75m/s、振动幅值为7.5mm、振动角度为-15°时,试验指标机具工作阻力达到最小值3.975k N。展开更多
基金supported by the Program for New Century Excellent Talents in Universityof China (Grant No. NCET-07-0454)National Natural Science Foundation of China (Grant No. 10971107)the Fundamental Research Funds for the Central Universities (Grant No. 10QNJJ003)
文摘Latin hypercube design and uniform design are two kinds of most popular space-filling designs for computer experiments. The fact that the run size equals the number of factor levels in a Latin hypercube design makes it difficult to be orthogonal. While for a uniform design, it usually has good space-filling properties, but does not necessarily have small or zero correlations between factors. In this paper, we construct a class of column-orthogonal and nearly column-orthogonal designs for computer experiments by rotating groups of factors of orthogonal arrays, which supplement the designs for computer experiments in terms of various run sizes and numbers of factor levels and are flexible in accommodating various combinations of factors with different numbers of levels. The resulting column-orthogonal designs not only have uniformly spaced levels for each factor but also have uncorrelated estimates of the linear effects in first order models. Further, they are 3-orthogonal if the corresponding orthogonal arrays have strength equal to or greater than three. Along with a large factor-to-run ratio, these newly constructed designs are economical and suitable for screening factors for physical experiments.
文摘罗汉果是广西特产,罗汉果属植物的果实。在单因素实验的基础上,利用微波萃取系统,进行二次回归旋转正交组合实验,确定了微波辐射条件下不同的物理参数(辐射功率、辐射时间、溶剂量等)对提取率的影响,优化的微波辅助提取最适工艺条件是:乙醇浓度40%;微波辐射功率495 W;辐射时间6 m in;提取压力0.1 MPa;原料粉碎度100目;固液比1∶30。在此条件下,罗汉果皂苷一次提取率可达76%。
文摘为了提高深松机作业过程中土壤疏松效果,降低机具的工作阻力,选用1SZ型振动式深松机,在土槽试验平台中进行了相应的振动减阻机理试验研究。首先设计了基于LABVIEW的软件测试系统,选取了扭矩、拉力、角度传感器等传感器及NI主机,基于五杆测力原理,构建了测试硬件系统,并选取机具的前进速度V0、振幅a=R s i nε和振动角β这3个主要因素进行三元二次回归正交旋转组合试验。试验表明:振动角对试验结果影响最大;得出的回归方程表明:当机具前进速度0.75m/s、振动幅值为7.5mm、振动角度为-15°时,试验指标机具工作阻力达到最小值3.975k N。
