A New Method for Establishing Pseudo Orthogonal Properties of Eigenfunction Expansion Form in Fracture Mechanics

A new and simple method is developed to establish the pseudo orthogonal properties (POP) of the eigenfunction expansion form (EEF) of crack-tip stress complex potential functions for cracked anisotropic and piezoelectric materials, respectively. Di?erent from previous research, the complex argument separation technique is not required so that cumbersome manipulations are avoided. Moreover, it is shown, di?erent from the previous research too, that the orthogonal …     

多体动力学程序切断铰的处理方法

多体系统动力学从非树系统派生出树系统的计算需要进行切断铰的处理。切断铰约束方程的形成是进行多体系统程序编写时的重要部分,其处理过程复杂,需要一定的技巧。本文引入了约束正交补轴的概念,详细介绍了几种典型(旋转铰、万向节、棱柱铰、旋转棱柱组合铰)切断铰位移约束方程、速度约束方程、加速度约束方程的形成方法,并给出了详细的程序化过程,该方法适用于任何类型的切断铰。最后给出相应算例,结果表明本文的方法能快速、正确地形成切断铰约束方程。     

THEORY OF ELASTICITY OF AN ANISOTROPIC BODY FOR THE BENDING OF BEAMS

A theory of elasticity for the bending of orthogonal anisotropic beams has been developed by analogy with the special case, which can be obtained by applying the theory of elasticity for bending of transversely isotropic plates to the problems of two deminsions. In this paper, we present a method to solve the problems of bending of orthogonal anisotropic beams and a new theory of the deep-beam whose ratio of depth to length is larger. It is pointed out that Reissner's theory to account for the effect of transverse shear deformation is not very approximate in the components of stress,     

无约束修正Timoshenko梁的冲击问题

介绍了修正后的Timoshenko梁运动方程，并比较了修正Timoshenko梁与经 典Timoshenko梁的运动方程. 推导了考虑剪切变形引起的转动惯量的修正Timoshenko 梁的正交条件，推导了集中质量对无约束修正Timoshenko梁的正碰撞对梁所引起的瞬态冲 击响应公式，并用算例进行了分析，且与集中质量对经典的无约束Timoshenko梁的正碰撞 对梁所引起的冲击响应进行了比较，另外还用算例分析了梁的刚度的变化和冲击质量比对其 冲击响应产生的影响.     

确定性矩阵可分离压缩成像

针对可分离压缩传感使用的可分离随机正交矩阵在处理大尺度图像等高维信号感知时难度太大或成本过高的问题,引入确定性测量矩阵,提出确定性矩阵可分离压缩传感,可将如托普利兹矩阵及循环矩阵等具有确定性结构的矩阵作为可分离压缩传感的左、右可分离矩阵.该方案可以降低独立元素的数目,从而显著降低前端物理实现的难度与成本.数值模拟实验分别评估了该方法在不同采样率及不同图像尺寸下的压缩重建性能,结果表明该方法在独立元素非常少的情形下得到与原随机正交矩阵相近的重建质量,证明了其可行性.     

A new class of multi-wavelet bases: V-system

The V-system is a complete orthogonal system of functions defined on the interval [0, 1], generated by finite Legendre polynomials and the dilation and translation of a function generator, which consists of a finite number of continuous and discontinuous functions. The V-system has interesting properties, such as orthogonality, symmetry, completeness and short compact support. It is shown in this paper that the V-system is essentially a special multi-wavelet basis. As a result, some basic properties of the V-system are established through the well-developed theory of multi-wavelets. From this point of view, more other V-systems are constructed.     

Spectral Self-Affine Measures on the Generalized Three Sierpinski Gasket

The self-affine measure μM,Dassociated with an iterated function system{φd(x)=M~(-1)(x + d)}_(d∈D) is uniquely determined. It only depends upon an expanding matrix M and a finite digit set D. In the present paper we give some sufficient conditions for finite and infinite families of orthogonal exponentials. Such research is necessary to further understanding the non-spectral and spectral of μM,D. As an application,we show that the L~2(μM,D) space has infinite families of orthogonal exponentials on the generalized three Sierpinski gasket. We then consider the spectra of a class of self-affine measures which extends several known conclusions in a simple manner.     

HIRFL数字化高频低电平控制系统研究

在HIRFL加速器系统中, 需要对射频加速电压的幅度和相位进行精确控制,以实现对重离子的精确俘获、 加速和引出。传统的幅度、相位稳定控制系统采用幅度和相位两个反馈闭合环路来分别稳定腔体电压的幅度和相位。 数字化高频低电平控制系统(LLRF) 基于可编程逻辑门阵列（FPGA）和数字信号处理（DSP）, 采用直接数字频率合成（DDS）与数字正交调制解调（I/Q）技术来实现对高频功率源的控制。 相位控制精度更高, 系统更加稳定。 目前控制系统在假负载上通过了长期稳定性的实验和高功率实验, 幅度偏差小于或等于±1％, 相位偏差小于或等于±0.5°。 In order to ensure that the beam quality is well enough, we need to precisely control the frequency, amplitude and phase of cavity electric field. Traditional control system consists of amplitude loop and phase loop. And these two loops control amplitude and phase stability respectively. The digital low level radio frequency (LLRF) system, which uses advanced digital control technology, needs only one feed back loop to control amplitude and phase stability. The phase control precision and stability of the system are higher than the traditional control system. The LLRF system is based on field programmable gate array (FPGA) and digital signal processing (DSP), and implemented by direct digital frequency synthesis (DDS) and digital orthogonal modulation and demodulation (I/Q) technology. The digital LLRF system has been tested in a long term stability and high power experiments. The amplitude deviation is lower than ±1%, and phase control accuracy is within ±1°.      

车前草降血尿酸有效成分提取工艺的研究

建立小鼠急性高尿酸血症模型,通过灌胃给药考察车前草的降血尿酸作用.采用正交试验设计,以车前草所含大车前苷为指标,考察乙醇浓度、提取时间、提取次数和乙醇用量4种因素对提取结果的影响.大车前苷和血尿酸的含量均用HPLC法测定.结果表明,车前草醇提组的小鼠血清尿酸水平明显低于模型组(P0.05).乙醇浓度、提取时间、提取次数和乙醇用量4种因素对车前草乙醇提取物中的大车前苷含量均有显著影响.最佳提取工艺为用10倍药材量的60%乙醇提取2次,每次2 h.