改善闭环光纤陀螺标度因数线性度的方法

当光纤陀螺的输入角速率较小时,其测量误差比较大,很难满足卫星等对测量精度要求较高的应用领域要求。文中主要从闭环反馈主回路探测器误差分析开始,分别从电子串扰、Y波导的非线性及D/A转换器的非线性等几方面,论述了在小角速率输入的情况下,分别对光纤陀螺标度因数非线性的影响,并且给出了改善的方法。试验结果显示,采取相应措施后,光纤陀螺的标度因数线性度有明显的提高。     

Large amplitude non-linear oscillations of a general conservative system

This paper presents new, approximate analytical solutions to large-amplitude oscillations of a general, inclusive of odd and non-odd non-linearity, conservative single-degree-of-freedom system. Based on the original general non-linear oscillating system, two new systems with odd non-linearity are to be addressed. Building on the approximate analytical solutions of odd non-linear systems developed by the authors earlier, we construct the new approximate analytical solutions to the original general non-linear system by combinatory piecing of the approximate solutions corresponding to, respectively, the two new systems introduced. These approximate solutions are valid for small as well as large amplitudes of oscillation for which the perturbation method either provides inaccurate solutions or is inapplicable. Two examples with excellent approximate analytical solutions are presented to illustrate the great accuracy and simplicity of the new formulation.     

Frequency-domain analysis of non-linear wave effects on offshore platform responses

In this study, the effects of second-order non-linear random waves on the structural response of slender fixed offshore platforms are investigated based on frequency-domain Volterra-series approach and previously proposed correlation function/FFT-based cumulant spectral method. The cumulants of non-Gaussian water particle kinematics are derived and, Morison force is approximated in cubic functional transformations of Gaussian processes. Volterra series is applied to evaluate the power spectra of wave force and induced structural displacement. The more convenient and more efficient power spectral and tri-spectral analyses by cumulant spectral method are presented as well. The thereby estimated variance, skewness and kurtosis excess agree well with time-domain simulation results. It is found that non-linear wave effects result in stronger non-Gaussian behavior of wave force and structural response, especially in seas of finite water depth.     

杯突试验机夹紧参数校准技术研究

介绍了杯突试验机夹紧参数校准的工程背景和技术现状,提出了一种用于校准夹紧参数的十字型悬臂梁式力传感器的解决方案,建立了夹紧参数计算的数学模型．对力传感器的应力状态、制作以及整个校准装置的标定、非线性误差修正和测量数据处理等问题进行了论述,为杯突试验机夹紧参数的全面校准提供了充分的技术依据．     

Non-linear behavior of delaminated unidirectional sandwich panels with partial contact and a transversely flexible core

The paper presents the results of an investigation of the non-linear behavior of delaminated sandwich panels with a compressible core. The delaminated zone, at one of the face-core interfaces, consists of through-the-width crack, which is free of shear stresses but is capable of accommodating partial contact with compressive stresses only within the debonded zone. The governing non-linear equations along with the appropriate boundary conditions and the continuity conditions are derived through variational principles. The governing equations include moderate deformations type of kinematic relations, and include the high-order effects due to the transverse flexibility of the core. The governing equations along with the stress and displacements fields for the core and the appropriate continuity conditions are presented. The effects of the non-linear response and the partial contact are described through some numerical cases of three points bending typical sandwich panels with inner delaminations in the vicinity of a concentrated load, in the vicinity of a stiffened core and, finally, far from the load. Numerical results in the form of displacements, bending moments, shear stresses in the core and vertical interfacial normal stresses at the upper and lower face-core interfaces along the panel length and at the delamination crack tips are presented. Buckling curves of load versus various extreme structural parameters are included. The analyses show that a full contact type of delamination transforms into a partial contact area with buckling of the compressed face sheet, as the load is increased and it is associated with extreme large displacements and stresses.     

超高斯型光脉冲在零色散区传输特性的研究

根据超短脉冲在光纤中传输所遵从的高阶非线性薛定谔方程,采用分步傅里叶方法模拟了超高斯型超短脉冲在光纤中的传输演化.在零色散区对损耗、高阶色散、高阶非线性、啁啾等因素对光脉冲传输的影响进行分析并得出了一些结论:损耗对传输脉冲的形状影响比较小基本上可以忽略,对脉冲的幅度影响比较大.一阶孤子传输一段距离后稳定时的幅度和脉宽在传输时基本不变,是进行光孤子通信的理想载体,而高阶孤子在开始传输和传输过程中的幅度和脉宽变化较大.当这些因素共同作用时,对脉冲的传输特性有较大的影响.但通过合理的选择各个影响因素的参量,能得到一个比较适于信息传输的高阶孤子脉冲.这对通过提高入射光脉冲功率使光脉冲在光纤中形成高阶孤子来提高两光中继器之间的中继距离的研究有一定的参考意义.     

Propagation and interaction of ultra-short pulses in quadratic crystals with controlled dispersion

Propagation of ultra-short optical pulses in an environment with quadratic nonlinearity and modulated dispersion is studied. It is shown that periodic modulation of the velocity-mismatch sign and of the third-order dispersion coefficient allows one to suppress pulse scattering and decompression, which noticeably increases their interaction efficiency. Original Russian Text ? A.A. Ivanov, B.B. Petrov, C.C. Sidorov, 2009, published in Vestnik Moskovskogo Universiteta. Fizika, 2009, No. 1, pp. 90–92.     

激光干涉任意转角测量信号的获得及误差补偿技术

采用信号处理的方法对激光干涉测角系统的特性进行线性化处理,需要产生两路正交信号。采用空间互相垂直的两套干涉系统获得信号难免会使系统复杂、调整困难,因此提出了一种插值处理方法,可以利用测量得到的一路信号获得线性输出信号。输出信号的非线性误差较处理前大大减小了,但是无法满足高精度测量的要求。还提出了针对误差产生的原因进行的误差补偿技术。实验结果表明,提出的方法可以实现任意转角的高精度测量,光程差的测量误差小于±0 2μm,对应的转角测量误差为0 63″。     

水中孤波的探讨

从理论上导出了浅水中KdV方程的孤波解,分析了其解的性质及产生孤波解的原因．介绍了实验室中孤波的演示实验和演示孤波性质的计算机模拟软件,形象地演示了双孤子、三孤子相遇时的情景．     

Primary resonance of multiple degree-of-freedom dynamic systems with strong non-linearity using the homotopy analysis method

A homotopy analysis method（HAM）is presented for the primary resonance of multiple degree-of-freedom systems with strong non-linearity excited by harmonic forces.The validity of the HAM is independent of the existence of small parameters in the considered equation.The HAM provides a simple way to adjust and control the convergence region of the series solution by means of an auxiliary parameter.Two examples are presented to show that the HAM solutions agree well with the results of the modified Linstedt-Poincar＇e method and the incremental harmonic balance method.