椭球体转动惯量的计算

用分步计算和广义球面坐标变换两种方法对椭球体绕对称轴旋转的转动惯量进行了计算，计算表明，后一种方法简单、实用，在工程实际中有应用价值．     

Plane Domains Which Are Spectrally Determined

This paper studies the trace of the heat kernelZ(t) _j=1 exp ( _j t), where{ _j } are the eigenvalues of atwo-dimensional Dirichlet or Neumann Laplace operator. FromZ(t), a sequence of invariants (geometrical invariants)such as area, boundary measure, Euler characteristics, etc., can bedetermined. Using these invariants, the existence of the nondisk domainswhich are determined from the information of Dirichlet and Neumannspectrum, can be shown. In addition, we prove that the number of suchdomains is infinite (uncountable) and these domains are not similar eachother.     

Optimal control of a rotary crane

This paper is concerned with the optimal control of a rotary crane, which makes two kinds of motion (rotation and hoisting) at the same time. The optimal control which transfers a load to a desired place as fast as possible and minimizes the swing of the load during the transfer, as well as the swing at the end of transfer, is calculated on the basis of a dynamic model. A new computational technique is employed for computing the optimal control, and several numerical results are presented.The authors wish to thank Professor D. G. Hull and the reviewers for their valuable comments and suggestions.     

On determining current profiles in oscillatory flows

The time dependency of the linear three-dimensional hydrodynamic equations which describe oscillatory flow, is removed by expressing the horizontal components of current in terms of rotary components at a prescribed frequency. By this means two time independent equations (one for each rotary component) are derived, which can be readily solved using the Galerkin method, in a manner analogous to that developed by the author for steady-state wind-induced flow. The method is used to examine the influence of eddy viscosity on tidal current profiles. Two distinct flow regimes are identified. In one the water depth exceeds the thickness of the bottom stress layer, in the other, water depth is less than the thickness of this layer. The influence of these two depth regimes, and the magnitude and vertical variation of eddy viscosity on tidal current profiles is examined. The possibility of using the method to give tidal profiles from vertically integrated models is discussed.     

一种流动注射分析用的多功能进样阀

一种流动注射分析用的多功能进样阀研制成功。该阀具有结构简单合理,加工制作容易,使用寿命长,不易泄漏等优点.可用于单通道进样,多通道交替进样,合并带、阀停流、连续测定以及在线离子交换分离富集等技术,是一种理想的进样和流路转换装置。     

Novel approaches to analysis by flow injection gradient titration

Two novel procedures for flow injection gradient titration with the use of a single stock standard solution are proposed. In the multi-point single-line (MP-SL) method the calibration graph is constructed on the basis of a set of standard solutions, which are generated in a standard reservoir and subsequently injected into the titrant. According to the single-point multi-line (SP-ML) procedure the standard solution and a sample are injected into the titrant stream from four loops of different capacities, hence four calibration graphs are able to be constructed and the analytical result is calculated on the basis of a generalized slope of these graphs. Both approaches have been tested on the example of spectrophotometric acid–base titration of hydrochloric and acetic acids with using bromothymol blue and phenolphthalein as indicators, respectively, and sodium hydroxide as a titrant. Under optimized experimental conditions the analytical results of precision less than 1.8 and 2.5% (RSD) and of accuracy less than 3.0 and 5.4% (relative error (RE)) were obtained for MP-SL and SP-ML procedures, respectively, in ranges of 0.0031–0.0631 mol L⁻¹ for samples of hydrochloric acid and of 0.1680–1.7600 mol L⁻¹ for samples of acetic acid. The feasibility of both methods was illustrated by applying them to the total acidity determination in vinegar samples with precision lower than 0.5 and 2.9% (RSD) for MP-SL and SP-ML procedures, respectively.     

四环空间稳定平台的稳定性分析

为指导四环空间稳定平台控制系统的设计,首先应用Euler动力学方程推导了以各框架电动机驱动轴绝对角加速度为变量的动力学方程。在此基础上,研究了内框、中框、外框轴综合转动惯量随p、r角变化的规律。由各框架轴实测频率特性分析了对象的谐振、阻尼等特性,并结合转动惯量的变化,总结了保证控制系统稳定性可采取的方法;从机械结构设计角度研究了消除综合转动惯量变化的措施。结果表明:采用当前的框架配置方案,外框轴综合转动惯量的相对变化量较大,应采取相应措施保证系统的动态性能及稳定性;音叉式外框架的低刚度导致外框轴在低频段存在谐振峰,应通过设置滤波器及状态反馈等方式抑制其影响;合理分配各框架对应轴向的转动惯量可使各电动机驱动轴成为固定惯量系统,且减小甚至消除了耦合力矩。     

基于几何法的三峡升船机卷筒强度的可靠性分析

用几何法分析了三峡升船机卷筒强度的可靠性，克服了传统随机有限元法分析的不足，计算中采用自编部分程序与有限元的通用程序ＳＡＰ５相结合的方法，减小了自编程序的工作量。     

双轴旋转式SINS自主标定技术

在双轴旋转式SINS中,惯性元件常值漂移误差对系统的影响可以得到调制,但安装误差和标度因数误差对系统的影响无法得到调制,同时这些误差会与旋转角速率耦合,引起速度锯齿波等误差从而降低了系统的各项性能指标。为了减少这种影响,分析了光学陀螺双轴旋转式SINS误差传播特性,利用奇异值分解法对系统的可观测程度进行了分析,经分析,与转动轴相关的安装误差和标度因数误差的可观测度较好,据此设计了系统的自主标定方案及滤波算法,进行了数字仿真和半实物仿真验证试验。试验结果表明,利用设计的自主标定方案,在1 h内能估计出转轴上两个陀螺的标度因数误差及与转轴相关的四个安装误差,估计精度能达到95%以上。导航试验验证表明,利用自主标定的参数,相对于传统标定方法,使系统定位精度提高了20%。     

Effects of shear stresses and rotary inertia on the stability and vibration of sandwich cylindrical shells with FGM core surrounded by elastic medium

The vibration and stability of axially loaded sandwich cylindrical shells with the functionally graded (FG) core with and without shear stresses and rotary inertia resting Pasternak foundation are investigated. The dynamic stability is derived based on the first order shear deformation theory (FSDT) including shear stresses. The axial load and dimensionless fundamental frequency for FG sandwich shell with shear stresses and rotary inertia and resting on the Pasternak foundation. Finally, the influences of variations of FG core, elastic foundations, shear stresses and rotary inertia on the fundamental frequencies and critical axial loads are investigated.