Analysis on dynamic precision reliability of high-speed precision press based on Monte Carlo method

Nonlinear Dynamics - By using the multiplier approach, we construct the conservation laws and the corresponding conserved quantities for the modified Camassa–Holm equation and...     

Zero-shift evaluation of automatic strain-gage systems based on direct and reverse current method

Solid-state digital-multimeters are being used in multichannel automatic data-acquisition systems to determine strain values from strain-gage resistance evaluation rather than using conventional Wheatstone bridge. Both the direct-resistance method and the reverse current one are examined in two tests. Each one lasted for two weeks. Irrelevant differences were observed between the two methods in spite of the adopted general-purpose low-cost switch-control unit.Paper was presented at the SEM VII International Congress on Experimental Mechanics held in Las Vegas, NV on June 8–11.     

An experimental digital communication scheme based on chaotic time-delay system

We develop an experimental system for secure communication with nonlinear mixing of information signal and chaotic signal of a time-delay system. The proposed scheme is based on programmable microcontrollers with digital transmission line. The scheme allows one to transmit and receive speech and musical signals in real time without noticeable distortion. A high quality of extraction of hidden information signal is achieved due to the use of digital elements in the scheme, which ensures identity of the parameters and high stability to noise. We study a possibility of hidden message extraction from a chaotic carrier by a third party in the case of mismatch of the receiver and transmitter parameters.     

加速度计在精密离心机上的标定方法与误差分析

为了提高加速度计非线性误差系数在离心机上的标定精度,应对离心机的误差源进行准确地分析和有效地分离。首先,通过分析双轴离心机的误差源建立了相应的坐标系,利用齐次变换法推导了加速度计在离心机上的精确比力输入并建立了加速度计的标定模型。其次,分析了相应误差项对加速度计零偏、标度因子和非线性误差项系数的标定影响,设计了加速度计在离心机上标定时的误差分离方法。最后,通过实验对加速度计的误差模型系数进行了辨识。结果表明,该方法能够准确分离出失准角误差和偏心误差,非线性误差系数的标定不确定度量级为10~(-4),能够有效提高加速度计的标定精度。     

基于ALE方法的航行体高速入水缓冲降载性能数值研究

针对航行体高速入水过程中的降载问题,设计了缓冲组件模型,并采用有限元任意拉格朗日-欧拉（ALE）的流固耦合方法,建立精确数值计算模型,对安装缓冲组件的航行体高速入水问题进行数值计算分析,获得入水过程中缓冲罩壳与缓冲泡沫的动态破坏过程及航行体运动参数,从而分析不同缓冲方案的缓冲性能。结果表明已设计的缓冲组件在航行体入水时能够吸收一定的冲击能量发生破坏并及时脱离航行体,同时缓冲泡沫的分层设计改变了缓冲罩壳的破坏方式,使罩壳破坏时间提前;撞水时在罩壳的头部与预设沟槽处会出现明显的应力集中,并且罩壳的沟槽设计能有效的引导其破坏形态,分层后的缓冲泡沫不易完全破坏,出现了二次缓冲的现象;缓冲组件使航行体入水速度曲线变化更加平缓,相同时间内航行体位移更大,分层缓冲泡沫方案降载率可达73.2%,缓冲效果较单层泡沫方案更好。     

基于实验设计法的工程结构优化设计

基于实验设计法,提出了一种新的工程结构优化设计方法,这种方法将设计变量的水平值配列于正关表中,按正交表的参数组合条件进行结构解析,通过对设计变量对于目标函数值的方差分析和F检验,改变设计变量的水平值,进而通过迭代计算使设计变量趋地最优解,本文以杵架结构为计算例,验证了本方法的全局收敛性和优化精度,由于无需构建目标函数和约束函数以及微分计算,此方法具有简单而又适应广泛的优点。     

An effective method for the reduction of the device utilization amount in experimental realization of a fractional-order system

This study focuses on the experimental realization of the fractional-order FitzHugh–Nagumo (FHN) neuron model. Firstly, a second-order approximation function is included to the FHN neuron model to satisfy the fractional-order definition. Since these approximation functions can meet the response of the ideal system only in a limited frequency band, the identification of their center frequency is very critical. Thus, the center frequency ‘ω_c’ of this second-order approximation functions is swept until getting the spiking responses of this neuron model for the first time in this study. After the center frequency is determined, this approximation function is transferred into the ‘z’ domain by employing the Tustin discretization operator. This achieved discrete defined and fractional-order FHN neuron model becomes suitable for implementation on the digital platforms. To verify the proficiency of the proposed sweeping process experimentally, the fractional-order FHN model in ‘z’ domain is implemented on the FPGA platform. After these applications, the order of the approximation function is reduced to one. Once this followed frequency sweeping process is repeated for the first-order approximation, the fractional-order FHN neuron model, which is built by this least-order approximation function, is also implemented with the FPGA. Therefore, the reductions of the device utilization amounts by using this least-order approximation function and the importance of the specific frequency identification process are seen clearly.

     

Theoretical and experimental analysis of the accuracy and reproducibility of cell tracking velocimetry

A theoretical and experimental analysis has been conducted to determine the accuracy of cell tracking velocimetry (CTV). CTV is an analytical technique for quantifying magnetically induced velocity of immunomagnetically labeled cells (or particles), in which the computer algorithm, particle tracking velocimetry (PTV), has been modified and combined with a well-defined magnetic energy gradient. In addition, this technique can calculate the size of a cell (or particle) through the use of experimentally measured settling velocities. A model was developed which determines the minimum and maximum cell velocities that can be determined based on a number of intrinsic constants and variables associated with this technique. This model was experimentally tested using a number of calibration particles and very good agreement between model and experimental data was obtained. The combination of model and experimental validation establishes the proper operating parameters for CTV. Received: 14 January 2000/Accepted: 10 July 2000     

压杆临界力实验方法

将Southwell的方法[1]加以分析后,得到一个既简便又更精确的用实验测压杆临界力的方法。     

An improved transfer-matrix method on steady-state response analysis of the complex rotor-bearing system

Nonlinear Dynamics - This paper proposes an improved transfer-matrix method (TMM) for investigating the steady-state response of complex rotor-bearing systems. The internal damping of the shafts is...     

On the method of caustics: An exact analysis based on geometrical optics

The method of caustics, as developed and applied to fracture mechanics over the last twenty years, contains several approximations which limit its applicability. In this paper the development of caustics is reviewed and the implicit assumptions made in the past are clarified and discussed. The exact equations are derived for caustics formed by the reflection of light from a general surface. In addition, the conditions for the formation of a caustic curve are derived and explained in detail. Numerically generated shadow spots are given for the case of light reflected from a surface deformed due to the presence of a plane stress, mode-I, elastic crack. Attention is focused on the near tip region where severe deformation gradients violate the assumptions made by previous approximate analyses. The results demonstrate significant deviation from the approximate analyses resulting in errors as large as 15% in the determination of the stress intensity factor from shadow spot measurements.     

基于小波变换的精密测试转台测角系统的故障诊断

针对精密测试转台测角系统的突变性故障、饱和故障和高频干扰故障,研究并提出了一种基于离散小波变换的故障特征提取方法。这种方法采用db4小波函数对测角系统激磁信号进行小波变换,将原始信号分解为近似信号和细节信号。根据分解得到第一层的细节信号,可以定位突变性故障和饱和故障。通过多层分解,确定近似信号和细节信号的最大幅值,根据信噪比大小可以确定是否存在高频干扰故障。实验结果显示,通过该方法可以实现对测角系统激磁电源故障准确的故障特征提取和定位,提高了精密测试转台的安全性和可靠性。     

精细时程积分法的误差分析与精度设计

通过对精细积分法递推过程的误差分析，发现该方法能莸得高精度数值结果的根本原因是：数值计算的相对误差不随递推过程的进行而扩散。数值结果的精度仅仅取决于初始Taylor级数的计算精度和指数矩阵A的最大模特征。同时，提出了一种精度估计和精度设计的方法。     

基于Monte-Carlo方法的结构系统可靠度计算及敏度分析

基于可靠性分析理论,将结构失效概率对随机变量均值的敏度表示成失效概率与正则化随机变量在失效域上期望的乘积,并利用敏度分析的结果给出了结构线性等效安全余量的表达式.通过等概率转换,使得该方法可以应用于服从任意分布的随机变量.该方法在给出失效概率的同时,能够给出失效概率对随机变量均值的敏度,而无需重新对结构进行计算,提高了...     

基于功率谱的爆破地震能量分析方法

针对爆破振动频度-能量分布的定量分析问题,提出了一种基于功率谱的能量分析方法。功率谱密度表征了一定频率谐波分量能量的相对大小,以此为出发点,推导出可以表征爆破振动频度-能量分布的计算方法,结合工程实例的分析结果表明,利用该方法可以实现爆破振动频率构成的定量分析。同时将该方法与目前通用的小波变换能量分析方法作了比较,两者的原理是一致的,但基于功率谱的能量分析方法直接利用频谱分析完成从时域到频域的转化,因此分析过程简便,物理意义明确,更容易理解和掌握。     

Higher order accuracy analysis of the second-order normal form method

The second-order normal form method has shown its intelligence in handling the weak nonlinear vibration problems, especially the lightly damped nonlinearities. The new technology can directly realize near identify transformation to the differential equation, while the first-order method has to change the differential equation to the first-order form at the very beginning. In order to get a more precise result, a lot of effort has been done to realize it through eliminating unnecessary approximations or reconsidering the influence of the nonlinearity in the subsequent processing. It is easy to conduct a simplified nonlinear transformation to get the first-order motion equation. Here in this paper, we focus on the higher-order accurate terms in the dynamic equation. The Taylor series expansion and the Poincaré expansion of the nonlinearity indicate that there are other resonance terms existing in final dynamic equation. A?general form of expression for higher-order resonance response function has been derived. The results show that the additional resonance terms cannot obviously increase the accuracy of the second-order normal form method; also, it cannot improve much of the predictions of sub and superharmonic responses.     

一种基于P-S-N的可靠性高精确度数值求解方法

根据应力-强度干涉分布理论和可靠性设计方法,建立基于P-S-N(可靠性-应力-寿命)的可靠度计算数学模型,并利用概率分布密度曲线干涉区间积分、复合梯形法则和辛普生法则来实现可靠度的高精确度数值化求解,通过编写计算机程序算法得以实现。算例表明,与传统的可靠性计算方法相比,系统可靠性的计算精确度得到显著提高,研究成果具有工程应用背景。     

一种GPS测姿系统的设计及精度分析

为了研究一种适合船用的启动快、全天候、低成本、没有误差积累的测姿系统,根据船体甲板结构布局,设计了一套GPS测姿系统。系统采用4台双频GPS接收机,4天线棱形布局,艏艉基线约33 m,利用GPS载波相位测姿技术确定船舶姿态。海上动态试验时以惯导和光电经纬仪为数据比对基准进行精度分析。结果表明系统已基本达到了全时段测量的能力,其有效数据覆盖率可达94.8%以上,航向角系统误差小于18",纵摇角系统误差小于28",横摇角系统误差小于80"。系统已可作为大型船舶姿态测量的主要测量手段之一,同时由于其航向精度较高,可作为惯导系统航向校准的补充手段。     

An experimental analysis of the Weissenberg rheogoniometer

Summary A method is described of analysing the frequency response of the transducer circuits of theWeissenberg rheogoniometer. Results are presented of a comprehensive analysis of an R.16 model and it appears that considerable phase shifting between the signals from the input motion transducer and the torsion head transducer arises in the network and persists in varying degrees over the working range of the instrument. There is also an attenuation of both signals which is generally not the same for both transducer signals and likewise persists over the whole of the instrument range. Errors will arise in evaluating rheological properties in oscillatory shearing motion if the experimental results are not corrected for these effects.     

基于故障树的多光纤陀螺冗余系统可靠性分析

多光纤陀螺冗余系统的可靠性分析是惯性测量系统健康状态管理中的一个关键问题.针对传统可靠性分析方法没有考虑共因失效以及在考虑共因失效后难以得到可靠度解析解的问题,提出通过一种多 Beta 因子模型描述多光纤陀螺冗余系统中的共因失效现象,并采用故障树分析方法定量评估常用多光纤陀螺冗余系统的可靠性.算例分析表明,不考虑共因失效或采用简化的共因失效模型会得到相对乐观的可靠性分析结果,从而增加系统失效的风险,因此需要采用多 Beta 因子模型.采用多 Beta因子模型后,通过故障树定量分析方法得到了典型系统可靠度的解析解,结果令人满意.