三点法测量直线度和平面度的数学模型

本文通过分析和研究三点法误差分离技术,建立了测量和评定工件直线度、平面度的数学模型。     

球头铣刀在虚轴机床上的刃磨

对虚轴刃磨机床的工作原理进行了分析.建立球头铣刀刀刃的曲线方程,利用活动标架法,推导球头铣刀前后刀面的数学模型.根据球头铣刀的数学模型,求解球头铣刀的广义刀位轨迹,利用虚轴机床的反解模型,把广义的刀位轨迹换算成连杆坐标系下连杆的长度,控制连杆长度的变化,完成刃磨加工运动.进而论证了利用虚轴机床进行刀具加工的优势.     

基于路径跟踪原理求解6-SPS并联机构位置正解

以6-SPS并联机构为例,基于路径跟踪原理,提出一种求解并联机构位置正解的预估-校正法.该方法通过求解并联机构位姿方程的微分初值问题,经过路径跟踪,可求出指定杆长动平台的正确位姿,并可求出从初值到待求值的中间结果.仿真结果表明,该方法具有计算速度快,收敛范围大,计算结果可靠的特点.     

选择性激光烧结PC粉末的建模研究

建立选择性激光烧结粉末快速成形工艺过程的数值计算模型,并用于估算烧结深度.在该计算模型中,综合考虑了材料的热物性参数随温度变化的情况和激光光强分布不均匀的因素.采用有限差分方法求解烧结过程中的瞬态传热微分方程,对烧结深度进行模拟计算,结果与实验值吻合较好.     

碳势控制数学模型的建立

研究了甲醇－乙酸乙酯气喷气炉内直接制备气氛的碳势控制问题，建立了温度Ｔ、甲烷含量、二氧化碳含量为参数的三因素碳势计算模型。该模型直实地反映了该炉气的碳变变化情况。经过几百次的试验表明，实测碳势值与模型计算值最大偏差为０．０５３％。     

对称矩阵反问题解的稳定性

考虑如下对称矩阵反问题：问题Ⅰ：给定Ｘ，Ｂ∈Ｒ（ｎ×ｎ），求Ａ∈ＳＲ（ｎ×ｎ）使得ＡＸ＝Ｂ，其中ＳＲ（ｎ×ｎ）＝｛｛Ａ｜Ａ∈Ｒ（ｎ×ｎ），ＡＴ＝Ａ｝。问题Ⅱ：给定，求使得其中是矩阵的Ｆｒｏｂｅｎｉｕｓ范数，ＳＡ表示问题Ⅰ的解集合。本文讨论问题Ⅰ解的稳定性，给出问题Ⅱ解的扰动界。     

地空导弹气压舵机仿真数学模型及其校准

本文给出了某种地一空导弹气压舵机的仿真数学模型,此模型计入了一些重要的非线性因素;介绍了空载校准,仿真试验和导弹飞行验证的综合校准此模型的方法。飞行试验表明此模型具有较高的置信度。     

Preliminary design of paraboloidal reflectors with flat facets

Based on the concept of approximating antenna surfaces using flat facets or triangulated cable networks, a geometric scheme to subdivide a parabolic surface is discussed. According to the proposed scheme, the paraboloid is divided at the aperture circle into six equal segments first, which form a regular hexagon. Then the regular hexagon is subdivided into equal regular triangles to form subelements. Finally, the points of intersection of these triangles are projected or mapped on the paraboloid surface using a suitable origin of coordinates to obtain the final nodal coordinates of the members along the revolution axis direction. An expression for the relation between the systematic deviation of the actual surface from the desired surface and the side length of the regular triangles on the antenna's aperture surface is developed, which can be used to determine the side length of the regular triangles, and in turn to determine the size of the reflector surface facets necessary to meet antenna surface accuracy requirements. Application on a 0.6-m offset reflector is described and the simulation results demonstrate the effectiveness of the proposed technique in design of paraboloidal reflectors with flat facets.     

Influences of preload on the friction and wear properties of high-speed instrument angular contact ball bearings

For starved-oil or solid lubrication of high-speed instrument angular contact ball bearings, friction heating and wear are the main reasons of bearing failures. This paper presents a dynamic wear simulation model to investigate the impacts of different preload methods and the changes of preload caused by wear on bearing wear life. The integral value QV of stress and sliding velocity in the contact ellipses between a ball and the inner and outer races determines friction heating and wear. The changes of QV with the friction coefficient and the wear volume under constant-force preload and fixed-position preload are analyzed. Results show that under the same initial preload, the QV decreases with an increase of the friction coefficient for both preload methods, and the latter is slightly larger. The wear of the ball and the race is equivalent to the ball diameter reduction. The QV of constant-force preload is almost not changed with a decrease of the ball diameter, but for fixed-position preload, the value decreases firstly and then increases substantially due to insufficient preload, and slipping occurs, the ball diameter is reduced by 0.025%, while the preload is reduced by 60.33%. An estimation of the bearing wear life under different preload methods requires a consideration of the changes in the wear rate of bearing parts.     

Hybrid methods for determining time-optimal,constrained spacecraft reorientation maneuvers

Time-optimal spacecraft slewing maneuvers with path constraints are difficult to compute even with direct methods. This paper examines the use of a hybrid, two-stage approach, in which a heuristic method provides a rough estimate of the solution, which then serves as the input to a pseudospectral optimizer. Three heuristic methods are examined for the first stage: particle swarm optimization (PSO), differential evolution (DE), and bacteria foraging optimization (BFO). In this two-stage method, the PSO-pseudospectral combination is approximately three times faster than the pseudospectral method alone, and the BFO-pseudospectral combination is approximately four times faster; however, the DE does not produce an initial estimate that reduces total computation time.