螺栓连接大变形梁非线性振动特性的实验研究

柔性机械臂、大型可展开天线等机械结构的动作精度受运动过程中大变形几何非线性和连接处接触非线性的影响十分显著。以含螺栓连接结构的大变形梁作为研究对象，针对动力学建模和振动特性开展了实验研究，通过数值计算验证了实验发现的非线性振动特性。搭建了含螺栓连接柔性大变形梁的实验台架，开展了敲击和正弦激振的实验测试。实验结果表明，螺栓连接的柔性梁较连续梁的（无螺栓连接）模态频率降低，阻尼增加，反映出随着激励能量增大，模态频率降低的非线性模态特征。改变螺栓连接位置会显著影响结构的模态频率，其变化规律可由求解线性矩阵特征值定性反映。     

湍流大小尺度涡量方程组及其封闭

利用流体大小尺度 (LSS)方程组推导出湍流大小尺度涡量 (LSSV)方程组 ,给出两个关于湍流大小尺度涡量的命题 ,从而得到湍流封闭大小尺度涡量 (CLSSV)方程组。同时 ,对近程相互作用命题进行了推广。     

修配法解装配尺寸链的简易计算

推导出了修配法解装配尺寸链的简易计算公式．使修配法分析计算更为简便，更易于掌握。     

算法的相关性变换与划分带个数的关系

使用相关性变换法，划分并映射循环算法到具有固定尺寸的Ｓｙｓｔｏｌｉｃ阵列。下标集合被划分成若干条带，划分带的条数与变换后的Ｓｙｓｔｏｌｉｃ阵列算法的执行时间成正比。指出了Ｍｏｌｄｏｖａｎ给出的计算划分带条数的公式有很大局限性，给出了由空间变换计算划分带条数的方法。     

虚拟RLC电参量测试仪

虚拟仪器在测试测量领域、自动控制和工业控制领域有着广泛的应用.为提高本科生普通物理实验训练的起点,北京大学基础物理实验中心将虚拟仪器引入到物理实验教学中.本文以虚拟RLC电参量的测量为例,介绍了虚拟仪器在物理实验中的具体应用.     

Analysis of G/D/1 Queueing Systems with Inputs Satisfying Large Deviation Principle under Weak* Topology

The large deviation principle (LDP) which has been effectively used in queueing analysis is the sample path LDP, the LDP in a function space endowed with the uniform topology. Chang [5] has shown that in the discrete-time G/D/1 queueing system under the FIFO discipline, the departure process satisfies the sample path LDP if so does the arrival process. In this paper, we consider arrival processes satisfying the LDP in a space of measures endowed with the weak^* topology (Lynch and Sethuraman [12]) which holds under a weaker condition. It is shown that in the queueing system mentioned above, the departure processes still satisfies the sample path LDP. Our result thus covers arrival processes which can be ruled out in the work of Chang [5]. The result is then applied to obtain the exponential decay rate of the queue length probability in an intree network as was obtained by Chang [5], who considered the arrival process satisfying the sample path LDP.     

基于LabVIEW的高温超导材料特性测试实验

高温超导体临界特性的测量是近代物理实验中最为经典的实验之一,本文通过使用GM制冷机,利用Lab-VIEW虚拟仪器软件和高性能采集卡,改进了传统的测量高温超导材料临界特性的实验装置.本测试系统不仅可以测量高温超导体在不同温度下的临界电流,还可以测量其失超传播特性.该实验对于学生了解超导体特性和培养严谨的科学作风十分有益.     

Large set of P3‐decompositions

Let G=(V(G),E(G)) be a graph. A (n,G, λ)‐GD is a partition of the edges of λK_n into subgraphs (G‐blocks), each of which is isomorphic to G. The (n,G,λ)‐GD is named as graph design for G or G‐decomposition. The large set of (n,G,λ)‐GD is denoted by (n,G,λ)‐LGD. In this work, we obtain the existence spectrum of (n,P₃,λ)‐LGD. © 2002 Wiley Periodicals, Inc. J Combin Designs 10: 151–159, 2002; Published online in Wiley InterScience ( www.interscience.wiley.com ). DOI 10.1002/jcd.10008     

On a bifurcation governed by hysteresis nonlinearity

We consider autonomous systems with a nonlinear part depending on a parameter and study Hopf bifurcations at infinity. The nonlinear part consists of the nonlinear functional term and the Prandtl--Ishlinskii hysteresis term. The linear part of the system has a special form such that the close-loop system can be considered as a hysteresis perturbation of a quasilinear Hamiltonian system. The Hamiltonian system has a continuum of arbitrarily large cycles for each value of the parameter. We present sufficient conditions for the existence of bifurcation points for the non-Hamiltonian system with hysteresis. These bifurcation points are determined by simple characteristics of the hysteresis nonlinearity.     

气垫导轨在刚体转动惯量测定实验中的应用

本文介绍了一种测量刚体转动惯量的新方法。即把气垫导轨和刚体转动仪结合起来来测量刚体的转动惯量,使传统的气垫导轨实验和刚体转动惯量测定实验得以更新,提高了实验测量的精度,拓展了实验内容。