Based on the stability theory, numerical simulations and theoretical calculations are performed for a projectile with wrap-around fins. Its stability is analyzed and the flow field is simulated with computational flui...Based on the stability theory, numerical simulations and theoretical calculations are performed for a projectile with wrap-around fins. Its stability is analyzed and the flow field is simulated with computational fluid dynamics method. Consequently, the pitching moment coefficient of the projectile is further investigated under the conditions of Mach number ranging from 0.3 to 0.8, attack angle from 0 to 8° and yaw angle from 0 to 4°. A trajectory equation is established and its trajectory characteristics are also explored. All the results of theoretical analysis, numerical simulation and trajectory equation agree well with each other, which indicates the projectile is flying steadily at the given conditions. These results provide an effective way for judging the stability of the projectile with wrap-around fins.展开更多
The objective of this paper is to study the issue of uniformity on three-level U-type designs in terms of the wrap-around L2-discrepancy.Based on the known formula,we present a new lower bound of wrap-around L2-discre...The objective of this paper is to study the issue of uniformity on three-level U-type designs in terms of the wrap-around L2-discrepancy.Based on the known formula,we present a new lower bound of wrap-around L2-discrepancy for three-level U-type designs and compare it with those existing ones through figures,numerical simulation and illustrative examples.展开更多
How to obtain an effective design is a major concern of scientific research. This topic always involves high-dimensional inputs with limited resources. The foldover is a quick and useful technique in construction of f...How to obtain an effective design is a major concern of scientific research. This topic always involves high-dimensional inputs with limited resources. The foldover is a quick and useful technique in construction of fractional designs, which typically releases aliased factors or interactions.This paper takes the wrap-around L_2-discrepancy as the optimality measure to assess the optimal three-level combined designs. New and efficient analytical expressions and lower bounds of the wraparound L_2-discrepancy for three-level combined designs are obtained. The new lower bound is useful and sharper than the existing lower bound. Using the new analytical expression and lower bound as the benchmarks, the authors may implement an effective algorithm for constructing optimal three-level combined designs.展开更多
Abstract The objective of this paper is to study the issue of employing the uniformity criterion measured by the wrap-around L2-discrepancy to assess the optimal foldover plans for three-level designs.For three-level ...Abstract The objective of this paper is to study the issue of employing the uniformity criterion measured by the wrap-around L2-discrepancy to assess the optimal foldover plans for three-level designs.For three-level fractional factorials as the original designs,the general foldover plan and combined design under a foldover plan are defined,some theoretical properties of the defined foldover plans are obtained,a tight lower bound of the wrap-around L2-discrepancy of combined designs under a general foldover plan is also obtained,which can be used as a benchmark for searching optimal foldover plans.For illustration of the usage of our theoretical results,a catalog of optimal foldover plans for uniform initial designs with s three-level factors is tabulated,where 2≤ s ≤11.展开更多
针对树冠横切面形状引起施药机喷头与树冠间距发生动态变化从而导致树冠内、外和两侧、中部等区域喷药量不均匀、较多药液喷洒在无效空间区域的问题,该研究提出一种基于激光雷达树干定位的树冠环绕式仿形对靶喷药方式。首先,基于喷头环...针对树冠横切面形状引起施药机喷头与树冠间距发生动态变化从而导致树冠内、外和两侧、中部等区域喷药量不均匀、较多药液喷洒在无效空间区域的问题,该研究提出一种基于激光雷达树干定位的树冠环绕式仿形对靶喷药方式。首先,基于喷头环绕树冠的运动需求,设计对称交叉布置的两自由度仿形机构,并建立喷头运动学模型,采用基于二环PID算法对喷杆伸缩和喷头旋转进行精准控制,通过匹配施药机前进速度实现喷头半圆和多边形轨迹仿形控制;然后采用平面激光雷达对树干高度的水平面进行扫描,提出基于DBSCAN(dnsity-based spatial clustering of applications with noise)密度聚类和3点树干形状拟合的树干动态识别和定位方法;再次,在FreeRTOS框架下搭建双层控制系统,对树干定位感知、动态喷头仿形轨迹控制、数据通信和操控交互等多任务进行并行处理,实现基于激光雷达树干位置信息的喷头动态伺服仿形控制。最后,以雾滴沉积量、雾滴密度、药液覆盖率和雾滴体积中值直径作为量化指标,在树冠不同区域布置10个检测点,对环绕式和定距施药开展6组对比试验。雾滴结果表明,树干纵向和横向定位误差分别为9.44和1.74 cm,环绕式仿形施药方式的平均雾滴密度为72.2个/cm^(2),平均沉积量为1.99μL/cm^(2),药液覆盖率为47.5%,相比定距施药方式,雾滴沉积量和雾滴密度分别提升36.3%和58.3%,雾滴沉积量变异系数降低了60%,环绕式仿形对靶喷雾可有效提高药液利用率和喷药均匀性。展开更多
基金the National Natural Science Foundation of China (10572026)
文摘Based on the stability theory, numerical simulations and theoretical calculations are performed for a projectile with wrap-around fins. Its stability is analyzed and the flow field is simulated with computational fluid dynamics method. Consequently, the pitching moment coefficient of the projectile is further investigated under the conditions of Mach number ranging from 0.3 to 0.8, attack angle from 0 to 8° and yaw angle from 0 to 4°. A trajectory equation is established and its trajectory characteristics are also explored. All the results of theoretical analysis, numerical simulation and trajectory equation agree well with each other, which indicates the projectile is flying steadily at the given conditions. These results provide an effective way for judging the stability of the projectile with wrap-around fins.
基金Supported in part by the National Natural Science Foundation of China(Nos.11871237,11801576,11271147,11401596)the Fundamental Research Funds for the Central Universities(South-Central University for Nationalities(Nos.CZQ18017,CZQ19010))
文摘The objective of this paper is to study the issue of uniformity on three-level U-type designs in terms of the wrap-around L2-discrepancy.Based on the known formula,we present a new lower bound of wrap-around L2-discrepancy for three-level U-type designs and compare it with those existing ones through figures,numerical simulation and illustrative examples.
基金supported by the National Natural Science Foundation of China under Grant Nos.11271147,11471135,11471136the UIC Grant R201409+1 种基金the Zhuhai Premier Discipline Grantthe Self-Determined Research Funds of CCNU from the Colleges Basic Research and Operation of MOE under Grant Nos.CCNU14A05041,CCNU16A02012
文摘How to obtain an effective design is a major concern of scientific research. This topic always involves high-dimensional inputs with limited resources. The foldover is a quick and useful technique in construction of fractional designs, which typically releases aliased factors or interactions.This paper takes the wrap-around L_2-discrepancy as the optimality measure to assess the optimal three-level combined designs. New and efficient analytical expressions and lower bounds of the wraparound L_2-discrepancy for three-level combined designs are obtained. The new lower bound is useful and sharper than the existing lower bound. Using the new analytical expression and lower bound as the benchmarks, the authors may implement an effective algorithm for constructing optimal three-level combined designs.
基金supported by National Natural Science Foundation of China(Grant Nos.11201177 and 11271147)China Postdoctoral Science Foundation(Grant No.2013M531716)+2 种基金Scientific Research Plan Item of Hunan Provincial Department of Education(Grant No.12C0287)Jishou University Doctor Science Foundation(Grant No.jsdxxcfxbskyxm201113)Scientific Research Plan Item of Jishou University(Grant No.13JDY041)
文摘Abstract The objective of this paper is to study the issue of employing the uniformity criterion measured by the wrap-around L2-discrepancy to assess the optimal foldover plans for three-level designs.For three-level fractional factorials as the original designs,the general foldover plan and combined design under a foldover plan are defined,some theoretical properties of the defined foldover plans are obtained,a tight lower bound of the wrap-around L2-discrepancy of combined designs under a general foldover plan is also obtained,which can be used as a benchmark for searching optimal foldover plans.For illustration of the usage of our theoretical results,a catalog of optimal foldover plans for uniform initial designs with s three-level factors is tabulated,where 2≤ s ≤11.
基金supported by the National Natural Science Foundation of China under Grant Nos.11271147,11471135,11471136support of Excellent Doctoral Dissertation to Cultivate Project of Central China Normal University under Grant No.2017YBZZ057
文摘针对树冠横切面形状引起施药机喷头与树冠间距发生动态变化从而导致树冠内、外和两侧、中部等区域喷药量不均匀、较多药液喷洒在无效空间区域的问题,该研究提出一种基于激光雷达树干定位的树冠环绕式仿形对靶喷药方式。首先,基于喷头环绕树冠的运动需求,设计对称交叉布置的两自由度仿形机构,并建立喷头运动学模型,采用基于二环PID算法对喷杆伸缩和喷头旋转进行精准控制,通过匹配施药机前进速度实现喷头半圆和多边形轨迹仿形控制;然后采用平面激光雷达对树干高度的水平面进行扫描,提出基于DBSCAN(dnsity-based spatial clustering of applications with noise)密度聚类和3点树干形状拟合的树干动态识别和定位方法;再次,在FreeRTOS框架下搭建双层控制系统,对树干定位感知、动态喷头仿形轨迹控制、数据通信和操控交互等多任务进行并行处理,实现基于激光雷达树干位置信息的喷头动态伺服仿形控制。最后,以雾滴沉积量、雾滴密度、药液覆盖率和雾滴体积中值直径作为量化指标,在树冠不同区域布置10个检测点,对环绕式和定距施药开展6组对比试验。雾滴结果表明,树干纵向和横向定位误差分别为9.44和1.74 cm,环绕式仿形施药方式的平均雾滴密度为72.2个/cm^(2),平均沉积量为1.99μL/cm^(2),药液覆盖率为47.5%,相比定距施药方式,雾滴沉积量和雾滴密度分别提升36.3%和58.3%,雾滴沉积量变异系数降低了60%,环绕式仿形对靶喷雾可有效提高药液利用率和喷药均匀性。
