全国非线性波学术讨论会

1981年4月27日至5月2日,力学学会理性力学与力学中的数学方法专业组在合肥召开了全国首次非线性波学术讨论会.这次讨论会是在力学学会副理事长钱伟长教授的大力倡导下召开的,由中国科技大学近代力学系承办,该系副主任朱兆祥教授主持.参加会议的代表共72     

第二届亚洲流体力学会议在京举行

第二届亚洲流体力学会议于1983年10月25日至29日在北京万寿路宾馆举行.这次会议是继1980年在印度邦加罗尔召开的首届亚流会后的一次盛会,由中国科学技术协会主持,中国力学学会和中国科学院力学研究所承办.筹备期间得到了亚洲流体力学委员会的支持和指导.     

ON THE METHOD OF ORTHOGONALITY CONDITIONS FOR SOLVING THE PROBLEM OF LARGE DEFLECTION OF CIRCULAR PLATE

In this paper,we reexamine the method of successive approximation presented byProf.Chien Wei-zang for solving the problem of large deflection of a circular plate,and findthat the method could be regarded as the method of strained parameters in the singularperturbation theory.In terms of the parameter representing the ratio of the centerdeflection to the thickness of the plate,we make the asymptotic expansions of thedeflection,membrane stress and the parameter of load as in Ref.[1],and then give theorthogonality conditions(i.e.the solvability conditions)for the resulting equations,bywhich the stiffness characteristics of the plate could be determined.It is pointed out thatwith the solutions for the small deflection problem of the circular plate and theorthogonality conditions,we can derive the third order approximate relations between theparameter of load and the center deflection and the first-term approximation of membranestresses at the center and edge of the plate without solving the differential equ     

新型Poisson括号意义下的无穷维Lie代数

本文首先针对ＫｄＶ方程的Ｈａｍｉｌｔｏｎ形式，建立一种比较容易验证的新型Ｐｏｉｓｓｏｎ括号和无穷维Ｌｉｅ代数．其次，研究ＫｄＶ方程的Ｈａｍｉｌｔｏｎ形式的第一积分与新型Ｐｏｉｓｏｎ括号的关系，得到判定第一积分的充分必要条件．最后，构造ＫｄＶ方程的第一积分．     

大众力学丛书《拉家常 说力学》序言

收到武际可教授的书稿,爱不释手,化了4个小时一口气读完后,对我的这位学长不禁产生了由衷的敬意.     

SECOND-ORDER CNOIDAL WAVES AT THE FREE SURFACE AND INTERFACE OF A TWO-FLUID SYSTEM

In this paper, using the PLK method and reductive perturbation method,we obtainedthe second approximation to cnoidal waves at the free surface and ihterface for the two-fluid system considered in[1].The corresponding results in[3]and[4]may be obtained asspecial cases in this paper.     

智能交通系统的元胞自动机交通流模型

在Nagel-Schreckenberg(NS)模型的基础上，提出一种可应用智能交通系统（ITS）信息的新的交通流元胞自动机模型. 其中考虑了有效间距及刹车灯的作用，并引入了可变安全间距的新概念. 数值模拟表明：对于这种改进的ITS元胞自动机模型，道路交通量有了显著提高，体现了智能交通的优越性——有效地扩大交通流量，减少阻塞生成. 当考虑快车和慢车的混合交通流时，发现即使少量的慢车也会导致交通流量大幅度下降，说明了严格实施快慢道行驶的必要性. 关键词： 交通流 智能交通系统（ITS） 元胞自动机模型 刹车灯 可变安全间距     

The density wave in a new anisotropic continuum model

In this paper the new continuum traffic flow model proposed by Jiang et al is developed based on an improved car-following model, in which the speed gradient term replaces the density gradient term in the equation of motion. It overcomes the wrong-way travel which exists in many high-order continuum models. Based on the continuum version of car-following model, the condition for stable traffic flow is derived. Nonlinear analysis shows that the density fluctuation in traffic flow induces a variety of density waves. Near the onset of instability, a small disturbance could lead to solitons determined by the Korteweg-de-Vries （KdV） equation, and the soliton solution is derived.     

液滴冲击液膜过程实验研究

实验显示了液滴撞击物体表面液膜后产生水花、发生飞溅,特别是产生“钟形”水花等的流动现象.根据实验结果,探讨了液滴冲击速度、液体黏性、表面张力、液滴直径和液膜厚度等对液滴冲击后产生的流动现象,以及液膜形状演化的影响,分析了观测到的鲜有文献报道的液滴撞击液膜后产生“钟形”水花的现象.     

Solitary wave solution to Aw-Rascle viscous model of traffic flow

A traveling wave solution to the Aw-Rascle traffic flow model that includes the relaxation and diffusion terms is investigated. The model can be approximated by the well-known Kortweg-de Vries (KdV) equation. A numerical simulation is conducted by the first-order accurate Lax-Friedrichs scheme, which is known for its ability to capture the entropy solution to hyperbolic conservation laws. Periodic boundary conditions are applied to simulate a lengthy propagation, where the profile of the derived KdV solution is taken as the initial condition to observe the change of the profile. The simulation shows good agreement between the approximated KdV solution and the numerical solution.