序贯模块法实现换热器网络的模拟

本文应用序贯模块法建立了换热器网络的模拟软件,研究了换热器网络建构技术、换热网络的自动识别技术以及求解策略的自动生成方法,并分析了环路识别和智能化环路断裂以及收敛模块的自动生成问题。结果表明:应用该方法建立的换热器网络的模拟有稳定性好、能够自动处理复杂结构网络的优点。     

基于OpenMC的反应性等效物理转换方法在双重非均匀性问题中的应用

由于基体中有着大量随机分布的弥散颗粒，双重非均匀系统具有复杂的几何结构，传统中子学计算方法往往难以处理双重非均匀系统，反应性等效物理转换（RPT）方法是常用的近似处理方法。通过分析RPT方法的三个关键步骤：精确初始值的求解、等效半径的求解、燃耗算法的选取，探讨了各步骤采用不同算法对RPT方法效率和精度的影响，并基于OpenMC在Python应用程序接口之上开发了RPT模块。数值结果表明，优化后的RPT模块，在保持良好计算效率的同时，也能满足工程计算精度的需要。     

基于压缩感知的一维海面与二维舰船复合后向电磁散射快速算法研究

矩量法作为数值方法中积分方程方法的代表, 具有计算精度高、所用格林函数自动满足辐射条件、无须额外设置边界条件等优点. 但是在舰船目标与海面复合后向电磁散射仿真中, 传统矩量法需针对每个入射角反复求解矩阵方程组, 导致其在处理后向散射问题时计算量大, 耗时长, 仿真效率低下. 为解决上述问题, 本文提出了一种基于压缩感知技术的矩量法的改进算法. 该算法在求解复合后向散射问题时, 首先利用观测矩阵与传统矩量法中的电压矩阵相乘, 得到一组新的低维度的电压矩阵; 其次通过求解新电压矩阵下的矩阵方程组, 获得电流矩阵的观测值; 最后利用恢复算法(本文采用正交匹配追踪算法)重构出所需的原始入射源照射下的电流系数. 通过与传统矩量法的计算结果对比, 表明本文所提算法能够在保证计算精度的前提下, 明显减少计算时间, 提高计算效率.     

基于PANDA平台的光机部件随机振动响应分析

基于PANDA自主并行计算平台，采用模态叠加法开展了多点基础激励作用下的随机振动响应分析算法设计和并行实现研究，构建了相应的并行求解模块。针对光机装置打靶样机中的六自由度平台结构，基于自主研发的软件模块，分析了该结构的模态特性及结构在地脉动载荷下的微振动响应，并与试验结果及商业软件分析结果进行了比对，在模态频率、振型和位移响应方面，都具有较好的一致性，验证了相关软件模块的正确性和PANDA平台在实际工程结构分析中的可用性。     

声呐设计中的系统模拟技术(Ⅰ)

数字信号处理理论与计算机技术的发展已使系统模拟技术成为声呐设计的新的有力的手段。本文叙述在声呐设计中利用系统模拟技术的必要性以及系统模拟技术的主要功能。文中首先讨论在计算机上模拟声呐环境场的原理及方法。给出一种快速产生带限高斯随机序列的算法和用变采样率产生高精度基阵信号的原理。同时给出数字式多波束、多分层的波束成形系统的计算机模拟的公式。文中给出在计算机上进行系统模拟的某些结果并与理论值作了比较。     

基于交互模式的柔性体接触碰撞动力学建模方法

目前对于任意形状的柔性体接触碰撞问题,一般采用有限元离散,通用的建模方法有两类:罚函数法和附加约束法.罚函数法将接触作用视为弹簧阻尼力元,无需求解约束方程,但依赖于碰撞力参数的选取;附加约束法可严格满足接触约束条件,但数值求解更为复杂.针对两类接触模型各自的优缺点,提出基于交互模式的建模方法.该方法将整个模型分为局部静力学模块和主体动力学模块,在每个积分步内,局部静力学模块求解接触力,主体动力学模块求解运动学变量,两个模型之间进行位移和力的交互.该方法综合了附加约束法和罚函数法各自的优点,既无需人为选取碰撞参数,又满足局部区域互不嵌入的约束条件,同时数值求解方便.通过杆-板碰撞的实验算例及滑块-滑槽多点碰撞的数值算例,验证了该方法的有效性.     

基于PANDA平台的多点基础激励谐响应的并行计算

基于PANDA自主并行计算平台,采用模态叠加法对多点基础激励作用下的谐响应分析开展算法设计和并行实现研究,构建相应的并行求解模块.结合商业有限元软件对研发模块的正确性进行验证;将该模块应用于某光机装置,实现11.88亿自由度超大规模的高效并行求解.结果表明：研发的多点基础激励谐响应分析模块可用于复杂装备的高效精细数值模拟,具备强大的并行计算能力,最大可扩展CPU核数可达数千个,远超现有通用商业有限元软件.     

基于XMC4500的智能USB-CAN接口模块设计

现有的USB-CAN接口模块存在不支持多应用同时访问、滤波算法简单、需要外接终端电阻等缺点或不足。提出了一种基于XMC4500微控制器的新型智能USB-CAN接口模块设计方法,并给出了详细的软硬件设计过程。接口模块具有支持多应用同时访问、提供复杂的软硬件智能滤波算法、能够通过软件设置终端电阻等诸多优点,可以用于各种基于PC的CAN总线通信数据分析与监测场合中。     

一种自适应视频跟踪算法及其ARM DSP实现

视觉跟踪作为图像处理和计算机视觉学科的重要分支,广泛应用与军事和民事的各个领域。对于相对运动速度较快的对象,传统的光流法计算精度不高,本文提出了一种视频跟踪算法,首先通过差分法检测图像差异,然后通过光流法实现视频自适应跟踪功能。设计了基于ARM和DSP的视频跟踪装置,详细讨论了硬件平台和接口设计,以S3C2410作为主控模块、TM320芯片作为图像处理模块。实验结果证明,该算法具有实时性、精度高、灵活性强的优点。     

素因子分解FFT算法及其指数映射

本文研究了一类素因子分解ＦＦＴ算法的指数映射，用这些指数映射方法可以构成一类新的素因子分解ＦＦＴ算法（ＰＦＡ）。此类算法可以用非同址的方式实现，也可以用同址的方式实现；既可以输入输出皆为同一顺序而不需要混序，也可以输入输出不为同一顺序而需要混序。本类算法具有新的算法结构，在计算每一维的小点数ＤＦＴ时，需要变换数据模块的地址。理论分析与计算机仿真实验表明，新算法不仅保持了传统ＰＦＡ［３］能够节省存贮量、提高运算速度的优点，而且具有可以顺序输入输出、同址计算、无需混序操作的特点。     

Exact Solutions for Fractional Differential-Difference Equations by an Extended Riccati Sub-ODE Method

In this paper, an extended Riccati sub-ODE method is proposed to establish new exact solutions for fractional differential-difference equations in the sense of modified Riemann-Liouville derivative. By a fractional complex transformation, a given fractional differential-difference equation can be turned into another differential-difference equation of integer order. The validity of the method is illustrated by applying it to solve the fractional Hybrid lattice equation and the fractional relativistic Toda lattice system. As a result, some new exact solutions including hyperbolic function solutions, trigonometric function solutions and rational solutions are established.     

分数阶Chua's系统错位同步无感模块化电路实现及应用

基于分数阶混沌系统稳定性理论, 设计高效的非线性控制器, 实现初始值不同的两个分数阶Chua's系统错位投影同步. 根据分数阶复频域近似方法, 提出分数阶系统的等效电路, 实现分数阶Chua's系统错位投影同步的无感模块化电路. 最后,利用改进的混沌掩盖通信原理, 将以上同步方案应用于混沌保密通信中, 在发送端使用分数阶混沌序列对有用信号加密传送, 从接收端可以无失真地恢复出有用信号. 数值仿真与电路仿真证实了提出方案的可行性. 关键词： 分数阶Chua's系统 错位投影同步 无感模块化电路 保密通信     

总能系统全工况特性数学模拟的研究

总能系统分析研究的主要方法是数学模拟：数学模型和模拟分析。随着热力系统复杂化、大型化，传统的方法面临着新的挑战，而基于通用性组合思想的模块化建模成为当前系统数学模拟发展的新方向[1,4]。但模块化建模的研究仅在化工部门过程系统方面进展较快，而对总能系统来说，还刚刚起步。本文研究总能系统（包括核能发电系统）全工况特性一维稳态模型的建模和模拟分析的新构思。1总能系统模块化建模模块化建模利用预先建立的典型单元模块模型，通过一定手段实现一定功能的组合，从而构造出拥有大量部件的系统模型。其主要内容有：大系统分解…     

A real decoupled method and free interface component mode synthesis methods for generally damped systems

This paper reports on the development of a new transformation method. In contrast to most existing mode transformation methods in which the first-order state-space equation of the damped vibration system is transformed into a decoupled form with complex coefficient matrices, using the decoupled method presented in this paper, the equation of the damped system can be decomposed into a decoupled equation with real coefficient matrices. Two new free interface component mode synthesis methods are also presented. The equivalent full-mode matrix of the damped structure is used to capture the effects of the higher-order modes. Additionally, this work modifies the compatibility conditions at the junctions that are employed in most of the previous component mode synthesis methods for generally damped systems. The first component mode synthesis method is performed in complex space, whereas the second method can be applied in real space. Because the coefficient matrices of the coupled equation constructed by the second component mode synthesis method are all real-valued, the solution of the eigenproblem for this coupled equation can be performed in real space as well. Additionally, numerical examples demonstrate the accuracy and validity of these two component mode synthesis methods.     

Symmetry and general symmetry groups of the coupled Kadomtsev--Petviashvili equation

In this paper, the Lie symmetry algebra of the coupled Kadomtsev--Petviashvili (cKP) equation is obtained by the classical Lie group method and this algebra is shown to have a Kac--Moody--Virasoro loop algebra structure. Then the general symmetry groups of the cKP equation is also obtained by the symmetry group direct method which is proposed by Lou et al。 From the general symmetry groups, the Lie symmetry group can be recovered and a group of discrete transformations can be derived simultaneously. Lastly, from a known simple solution of the cKP equation, we can easily obtain two new solutions by the general symmetry groups.     

Quantum Gauge General Relativity

Based on gauge principle, a new model on quantum gravity is proposed in the frame work of quantum gauge theory of gravity. The model has local gravitational gauge symmetry, and the field equation of the gravitational gauge field is just the famous Einstein‘s field equation. Because of this reason, this model is called quantum gauge general relativity, which is the consistent unification of quantum theory and general relativity. The model proposed in this paper is a perturbatively renormalizable quantum gravity, which is one of the most important advantage of the quantum gauge general relativity proposed in this paper. Another important advantage of the quantum gauge general relativity is that it can explain both classical tests of gravity and quantum effects of gravitational interactions, such as gravitational phase effects found in COW experiments and gravitational shielding effects found in Podkletnov experiments.     

Multi-component Dirac equation hierarchy and its multi-component integrable couplings system

A general scheme for generating a multi-component integrable equation hierarchy is proposed. A simple 3M-dimensional loop algebra \tilde{X} is produced. By taking advantage of \tilde{X}, a new isospectral problem is established and then by making use of the Tu scheme the multi-component Dirac equation hierarchy is obtained. Finally, an expanding loop algebra \tilde{F}_M of the loop algebra \tilde{X} is presented. Based on the \tilde{F}_M, the multi-component integrable coupling system of the multi-component Dirac equation hierarchy is investigated. The method in this paper can be applied to other nonlinear evolution equation hierarchies.     

Matrix method for the solution of RF field perturbations due to local frequency shifts

To tune the accelerating field to the design value in a periodical radio frequency accelerating structure, Slater's perturbation theorem is commonly used. This theorem solves a second-order differential equation to obtain the electrical field variation due to a local frequency shift. The solution becomes very difficult for a complex distribution of the local frequency shifts. Noticing the similarity between the field perturbation equation and the equation describing the transverse motion of a particle in a quadrupole channel, we propose in this paper a new method in which the transfer matrix method is applied to the field calculation instead of directly solving the differential equation. The advantage of the matrix method is illustrated in examples.     

一种机器人手眼关系混合标定方法

针对机器人手眼关系的求解问题,在现有研究方法基础上,将传统方法高精度的优点和主动视觉方法的简单易实现性相结合,提出了一种新的混合求解方法;只需机器人进行两次正交平移运动及分别对标定板成像一次,即可标定手眼旋转矩阵R,再指导机器人移动到标定板原点,即可求解手眼平移矩阵T。以自主研发的平方六轴串联机器人为实验对象,应用所提出方法求解出手眼关系,并用传统方法对所求结果进行分析,证明该方法误差在1 mm以内,不需要求解复杂的传统方程,且准确度高、易实现。     

电湿效应变焦光学系统的设计与分析

与传统的通过电机调节透镜相对位置达到变焦目的设计完全不同,提出了一种设计无机械运动变焦光学系统的新方法.利用亥姆霍兹自由能最小化方法推导出适合双液体变焦透镜的杨氏方程,将以气液固三相系统为基础的传统杨式方程扩展到了液液固三相系统.以圆柱结构的双液体变焦透镜为组分设计了一种新型的变焦光学系统,分析了系统在外加电压作用下使焦距变化的同时又能保持像面不变时必须满足的条件.模拟结果表明该系统的变倍比大约可达到1:1.5.