Partially resolved transition array model in intermediate coupling

The partially resolved transition array (PRTA) model is developed for intermediate coupling. The PRTA model conserves known array properties, yields improved higher moments, systematically accounts for initial level populations, and is computationally efficient compared to detailed line accounting (DLA) methods. Numerical examples show that the PRTA in intermediate coupling reproduces the effects of the electrostatic interaction between spin-orbit split arrays on the spectrum in good agreement with DLA calculations.     

Time domain analysis of second-order wave diffraction by an array of vertical cylinders

A time domain method is employed to analyze interactions of water waves and a group or an array of cylinders. The nonlinear free-surface boundary conditions are satisfied based on the perturbation method up to the second order. The first- and second-order velocity potential problems at each time step are solved through a finite element method (FEM). The mesh required is generated based on a 2-D unstructured grid on a horizontal plane and its extension in the vertical direction. The matrix equation of the FEM is solved through an iteration and the initial solution is obtained from the result at the previous time step. The radiation condition is imposed through a combination of the damping zone method and the Sommerfeld–Orlanski equation. Results for various configurations, including two cylinders, four cylinders, an array of 10 cylinders and two arrays of eight cylinders are provided to show the effect of the interaction and their behaviour near the trapped mode.     

Measurements of velocity spectra using time-resolving Doppler global velocimetry with laser frequency modulation and a detector array

Measuring velocity spectra in turbulent flows requires methods providing a high temporal resolution and a low measurement uncertainty. Hot-wire anemometry is often used, but it is intrusive. Laser Doppler anemometry is non-intrusive, but due to the statistical arrival of individual tracers provides no constant measurement rate. We therefore propose the use of Doppler global velocimetry (DGV), which is a contactless method allowing temporally equidistant measurements of continuous signals. Additionally, 2d measurements are possible instead of single point measurements. The commonly applied slow cameras are substituted by a fibre coupled detector array consisting of 25 avalanche photo diodes, which increases temporal resolution up to 10 μs. Contrarily to conventional DGV, a sinusoidal laser frequency modulation enables omitting the reference detector array. A correction of beam splitting and image misalignment errors is thus not necessary, but disturbances due to temporal fluctuations of the scattered light can occur and have to be reduced by increasing the modulation frequency. We validate the proposed system capability of synchronously measuring velocity spectra at multiple points in turbulent flows by presenting experimental results. The acquired velocity spectra in a wind tunnel experiment show good agreement with hot-wire comparison measurements within 0.1 m/s. An uncertainty analysis is given, which allows the achievable measurement uncertainty to be estimated as a function of the desired temporal resolution. An uncertainty down to 0.2 m/s can, for example, be achieved assuming a desired temporal resolution of 1 ms. These promising results open new perspectives for turbulence and correlation studies in flows such as to investigate the turbulence characteristics behind a truncated cylinder attached to a plate or the inlet of an aircraft turbine for flow characterisation in industry.     

激光冲击强化过程中蒸气等离子体压力计算的耦合模型

首先基于系统能量守恒条件,提出了一种计算蒸气等离子体压力的一维耦合计算模型。模型中不仅考虑了蒸气等离子体界面压力与质点速度的非线性效应,同时也考虑了界面烧蚀所致的运动速度,将蒸气等离子体的膨胀与约束介质的变形耦合。在耦合模型的基础上,采用显式差分计算程序与显式有限元计算程序LS-DYNA互相迭代求解的方法,对不同激光功率密度分布下的蒸气等离子体压力进行了计算。结果表明,计算结果与实验测量结果具有很好的一致性,证明了计算模型的合理性。     

Strain-field investigations with plane diffraction gratings

The development of means for producing small, separate, plane diffraction gratings as integral parts of the surfaces of flat metal specimens has led to modification of the method of Bell and to the investigation of strain fields by study of diffraction phenomena. Choice of a particular diffraction-strain relationship and the use of master gratings in conjunction with diffraction gratings to be used as strain gages permits use of simple optical instrumentation. The diffraction phenomena from multiple gages at the same orientation may be photographed simultaneously during loading for subsequent analysis, and instrumentation in the form employed permits resolving strain increments of magnitude 0.0008 in the range 0.0030 to 0.030.     

Euler-Lagrange耦合计算的GEL方法

研究了一种Euler-Lagrange耦合数值方法ghost-fluid Euler-Lagrange(GEL)方法,编写了GEL二维计算程序。其中Euler流场计算采用以SCB格式编制的二阶计算程序,Lagrange域计算采用DEFEL二维动力有限元程序。通过一维黎曼问题的计算结果与高精度PPM方法进行的比较,以及二维移动边界cylinder lift-off problem的计算结果与文献的对比,验证了GEL方法和本文程序的正确性。     

Comparison between laser diffraction and phase Doppler velocimeter techniques in high turbidity,small diameter sprays

The application of the laser diffraction and the phase Doppler techniques to small diameter dense sprays, such as those produced by Diesel and petrol injectors leads to differences between the measured sizes. For example, the Sauter mean diameter measured by laser diffraction was 30% smaller than the line-of-sight estimates from the phase Doppler measurements in the petrol spray and 100% smaller in the Diesel spray. The differences were due to the lack of spatial resolution of the laser diffraction technique and the influence of beam attenuation and non-spherical droplets in both instruments. Problems and sources of sizing errors in the application of both instruments are discussed.     

激光陀螺组合体测量船体角形变中观测耦合效应的补偿（英文）

船体角形变是传递对准中的主要误差源,需要依靠测量仪器精确标定。根据姿态匹配方法使用两套激光陀螺组合体可以计算角形变。但是动态形变和船体运动角速度的交叉相关的观测耦合效应导致角形变的最优估计结果不准确,并且通过姿态匹配方法这种观测耦合效应是不能被准确测量的,需要结合其它角形变的测量信息进行计算。基于角速度匹配方法,研究了观测耦合效应,并得出其导致角形变估计的偏置误差,且受船体运动角速度调制的结论。通过补偿激光陀螺组合体测量的角速度,降低了观测耦合效应,得到了高精度的对准结果。仿真结果表明观测耦合效应主要导致了静态形变估计精度的不准确。     

Fractional-order excitable neural system with bidirectional coupling

Fractional-order dynamics is applicable to biological excitable systems with strong interactions or systems with long-term memory effect. The activity of neural membrane voltage depends on the long-range correlations of ionic conductances. Such a behavior of the membrane voltage with long-range correlation can be better described with a fractional-order dynamics. A fractional-order coupled modified three-dimensional (3D) Morris–Lecar (M–L) neural system has been presented to show the variations in the firing patterns from resting state \( \rightarrow \) oscillatory pattern \( \rightarrow \) bursting and the synchronous behavior by designing a bidirectional coupling mechanism. The fractional exponents are lying between 0 and 1. The predominant controller of the changes of firing behavior is the fractional exponent. The stability of synchronization and nature of the fractional system dynamics have been analyzed. To make the investigations more convincing and biologically plausible, we consider a network of M–L oscillators with bidirectional synaptic coupling functions using global type connections and present the effectiveness of the coupling scheme.     

Dynamics of microbubble oscillators with delay coupling

Two vibrating bubbles submerged in a fluid influence each others’ dynamics via sound waves in the fluid. Due to finite sound speed, there is a delay between one bubble’s oscillation and the other’s. This scenario is treated in the context of coupled nonlinear oscillators with a delay coupling term. It has previously been shown that with sufficient time delay, a supercritical Hopf bifurcation may occur for motions in which the two bubbles are in phase. In this work, we further examine the bifurcation structure of the coupled microbubble equations, including analyzing the sequence of Hopf bifurcations that occur as the time delay increases, as well as the stability of this motion for initial conditions which lie off the in-phase manifold. We show that in fact the synchronized, oscillating state resulting from a supercritical Hopf is attracting for such general initial conditions.     

Strain analysis of a rotating plate with X-ray diffraction techniques

A new technique for strain analysis of a rotating component by using X-ray diffraction analysis is presented. Aluminum foil is bonded to a rotating plate of epoxy resin, and strain in the foil is measured by the X-ray diffraction technique to estimate the strain of the plate under rotation. The X-ray diffraction angle is determined with the cross correlation method, and stiffness of the foil is taken into account in the analysis of the strain under rotation. The strain of the rotating plate is in good agreement with calculation.     

Wave propagation and diffraction in bodies with noncircular cylindrical boundaries

Conclusion The foregoing results make it possible to formulate approximate solutions of linear problems (in four approximations) for the steady-state diffraction and propagation of waves of different physical natures in bodies bounded by noncircular cylindrical surfaces. The problem is reduced in each approximation to corresponding problems in a circular cylindrical coordinate system with identical homogeneous equations in all approximations and different right-hand sides of the boundary conditions in each approximation. The results are obtained in a general form for all linear problems of continuum mechanics.Institute of Mechanics, Academy of Sciences of the Ukrainian SSR, Kiev. Translated from Prikladnaya Mekhanika, Vol. 9, No. 9, pp. 3–11, September, 1973.     

Application of the maximum entropy technique in tomographic reconstruction from laser diffraction data to determine local spray drop size distribution

This work proposes a new deconvolution technique to obtain local drop size distributions from line-of-sight intensity data measured by laser diffraction technique. The tomographic reconstruction, based on the maximum entropy (ME) technique, is applied to forward scattered light signal from a laser beam scanning horizontally through the spray on each plane from the center to the edge of spray, resulting in the reconstructed scattered light intensities at particular points in the spray. These reconstructed intensities are in turn converted to local drop size distributions. Unlike the classical method of the onion peeling technique or other mathematical transformation techniques that yield unrealistic negative scattered light intensity solutions, the maximum entropy constraints ensure positive light intensity. Experimental validations to the reconstructed results are achieved by using phase Doppler particle analyzer (PDPA). The results from the PDPA measurements agree very well with the proposed ME tomographic reconstruction.     

磁耦合双摆的混沌运动

 建立并分析磁耦合双摆的非线性动力学方程，计算其Poincar\'{e}截面图，以解释其典型 的混沌摆动现象.     

Dynamics of self-excited oscillators with neutral delay coupling

The work is devoted to analytic and numeric investigation of dynamical behavior in a system of two Van der Pol (VdP) oscillators coupled by a non-dispersive elastic rod. The model is rigorously reduced to a system of nonlinear neutral differential delay equations. For the case of relatively small coupling and moderate delay, an approximate analytic investigation can be accomplished by means of an averaging procedure. The region of synchronization in the space of parameters is established and characteristic bifurcations are revealed. A numeric study confirms the validity of the analytic approach in the synchronization region. Beyond this region, the averaging approach is no more valid. A multitude of quasiperiodic and chaotic-like orbits has been revealed. Especially interesting behavior occurs in the case of relatively large delays and corresponds to sequential quenching and excitation of the VdP oscillators. This regime is also explored analytically, by means of a large-delay approximation, which reduces the system to a perturbed discrete map.     

Waves with random coupling and random propagation constants

We study the mathematical treatment of transmission statistics of coupled wave devices with random imperfections. Such devices include multi-mode waveguides or optical fibers, directional couplers at waveguide or optical frequencies, dominant-wave transmission lines (with the reflected wave the spurious mode), lumped filters composed of circuit or of waveguide elements, multi-layer optical coatings to achieve high or low reflectivity.If the random parameters have very rapid spatial variations, we assume they have white spectra. Exact results for transmission statistics are obtained in such cases. These exact results can be extended to random parameters with almost-white spectra, and narrow-band spectra that are far from white.These calculations are carried out in a simple way by using Kronecker matrix products.     

Interaction of ultrasonic waves with structural damage: A diffraction analogy

This study investigates the interaction of ultrasonic waves and structural damage, i.e., cracking and corrosion. It is shown that cracking and corrosion damage produces a diffraction pattern that resembles that associated with the traditional physics of wave motion. The extension of this hypothesis implies that it may be possible to use a simple ripple tank to investigate how to best detect/sense and size a given damage state, e.g., corrosion. We also find that cracking, and corrosion damage, has a significant effect on both the amplitude and period of the waveform and also on the local (apparent) refractive index of the material and that these effects have the potential to be used as damage indicators.     

Development of an array of pressure sensors with PVDF film

 A new type of an array of pressure sensors, composed of PVDF (polyvinylidenefluoride), was devised and evaluated. In order to obtain the system transfer function of the PVDF system, a dynamic calibration was performed utilizing the signal from a 1/8 inch B&K microphone as input. The time history of the unsteady pressure was then reconstructed from the output of the sensor by using this transfer function. The reconstructed pressure signals showed good agreement with the reference signal in both temporal and spectral sense. This sensor was then used to measure the wall pressure fluctuations in a two-dimensional turbulent channel flow. Various statistical moments were obtained from the measurement data set. Comparison of these quantities with the existing studies demonstrated satisfactory agreement. These tests give credence to the relevance and reliability of this sensor for applications in more complicated turbulent flows. Received: 13 August 1996 / Accepted: 26 January 1998