AUTHOR INDEX

Abdullah, E.C. 104 Adams, M. 35 Aldinger, F. 9 Antiohos, S.K. 73 Bai, B. 220 Bai, H. 77 Bao, L. 300 Beltramini, J.N. 80 Bi, H.-T 103,127,194 Boyko, M.N. 70 Brandl, H. 93 Cao, G. 20 Cao, J. 316,346 Chaniotakis, E. 234 Chatenet, B. 330 Che, H. 20,327 Chen, H. 330 Chen, H. 153 Chen, J. 300 Chen, J. 238 Chen, Q. 238 Chen, X. 25 Cheng, Y. 108,312 Chen, Y. 323 Chen, Z. 327 Chouliara, E. 73 Chow, J. 259,346 Cui, H. 183 Dai, M. 293 Ding, Z. 60 Dong, J. 346 Du, B. 1 Du, H. 25…     

Simplest differential equation of stock price,its solution and relation to assumption of black-scholes model

1　TheSituationofMathematicalAnalysisofStockMarketandTwoAnalyticSystems　　Mostpublicationsunderthetitleofstockmarket,includinghundredsofauthoritativeguidetocontemporaryinvestmenttheories[1],belongtodatacollection ,summinguptheexperienceofmakingprofits,operatingskills,qualitativeanalysis,andtechnicalanalysisusingsimplemathematics,etc .Thework ,cannotbeconsidered ,ingeneral,asrulequantitativeinvestigationandisstillinadescribingstage.Theliteraturesonbehaviorofstockmarketinvestigatedbyanalytic…     

Effect of heat exchange on the interfacial instability of gas-liquid jet

IntroductionInrecentyears,theprosperityofmetalpowdermarket[1] andthedevelopmentofsprayformingtechniquesmakeitnecessarytostudythemechanismofjetatomization .Freelyfallinghightemperaturemetalliquid ,impactedbyhighspeedgasaround ,breaksintodropletsofdifferentsizes,whichprocedureiscalledair_blastatomizationorsprayatomization .Infact,thisprocesshasawiderengineeringapplications,rangingfromfuelinjectorsingasturbinesandjetengines,totwo_phaseflowchemicalreactors ,spraydrying ,andsoon .OnthebasisofKelvi…     

Existence of solutions for nonlinear elliptic boundary value problems

IntroductionInRef.[1 ]KannanandLockergivetheexistenceofatleastonesolutionofTy-h(t,y ,… ,y(n- 1) )y=f(t,y ,… ,y(n- 1) )　　 (a相似文献   

《中国大百科全书·力学》在编写中

中国历来是巨型类书之乡,誉满四海.明清之时,类书更出类拔萃,搜罗广宏,分类辑录,引证详明,便于查览,诸子百家,兼收并蓄,各自立论,编者不褒贬偏弃.近代的科学文化,迅速发展,知识犹如汪洋大海,更兼层出不穷,若无适当的指南和工具书,广大读者常     

第七届全国周培源大学生力学竞赛报名工作圆满完成

第七届全国周培源大学生力学竞赛报名工作圆满完成,在第六届报名总数 9736人的基础上,本届全国周培源大学生力学竞赛报名总人数为11688人,遍 布全国29个省、直辖市及自治区,各地具体报名人数如下： 安徽省437人,北京市815人,重庆市270人,辽宁省543人,福建省316 人,甘肃省219人,广东省242人,广西壮族自治区68人,贵州省64人,海南 省17人,河北省229人,河南省527人,黑龙江省554人,湖北省642人,湖 南省1039人,吉林省191人,江苏省2739人,江西省586人,内蒙古自治区 71人,青海省13人,山东省141人,山西省368人,陕西省315人,上海市622 人,四川省324人,天津市48人,新疆维吾尔自治区44人,云南省74人,浙 江省170人. 全国周培源大学生力学竞赛是受教育部高等教育司委托,由教育部高等学校力学教 学指导委员会力学基础课程教学指导分委员会、中国力学学会和周培源基金会共 同主办的大学生科技活动,每两年举行一次,本年度为第七届,全国在校大学本 科、专科、及研究生均可自愿报名参赛,本次竞赛定于5月24日上午举行.     

Improving Our Life and Bettering Our Industry through Particuology

Everyonereadingthisjournalmayhavehisownvisionaboutparticles,sand,sugar,grains,flour,dust,fineandultrafinepowders,evennanocrystals,inourdailylifeandindustriesincludingthehightechnologies.Progressinhumancivilizationhasbeenchangingwithadvancesinprocessing,manufacturingandutilizationofparticlesofalldimensions.Numerousexamplescanbefoundinhistorytosupportsuchremark,e.g.,humanfoodsfromcoarseprimarygrainstofinepowders,andindustrialmaterialsfromthefinenessinsieveclassificationtothoseinmicronorevennanom…     

Fracture calculation of bending plates by boundary collocation method

IntroductionPlatesarecommonstructuresinaerospace ,civil,mechanicalandchemicalengineering .Duringtheproductionanduseofthestructures,flawsandcracksmayappearintheplates.Inordertoassurethesafetyofplatestructures,toavoidcleavagefractureandfatiguefailure,andtodesignsafetyandmakerationaluseofmaterials,itisnecessarytodofractureanalysisfortheplatestructures.Fractureproblemofabendingplateismorecomplexthanthatoftheplaneelasticity[1,2 ].Firstofall,therearedifferenttheoriesforplatebending ,suchasKirchhoff…     

Difference scheme and numerical simulation based on mixed finite element method for natural convection problem

ntroductionLetΩ R2 beaboundeddomain .Weconsiderthefollowingnon_stationarynaturalconvectionproblem :Problem (Ⅰ )　Findu =(u1,u2 ) ,p ,andTsuchthat,foranyt1>0 ,ut- μΔu +(u· )u + p=λjT　　 ((x ,y ,t) ∈Ω× (0 ,t1) ) ,divu =0　　　　　　　　　 ((x ,y,t) ∈Ω× (0 ,t1) ) ,Tt-ΔT +λu· T =0　　 ((x,y,t) ∈Ω× (0 ,t1) ) ,u =0 ,T =0　　　　　　 ((x,y,t)∈ Ω× (0 ,t1) ) ,u(x ,y ,0 ) =0 ,　T(x,y,0 ) =f(x,y)　　 ((x,y) ∈Ω) ,whereuisthefluidvelocityvectorfield ,pthepressurefield ,Tthet…     

铸装TNT炸药表面热点温度的测量

非均匀炸药冲击起爆的热点理论一直是爆轰物理中,人们普遍关心的课题之一。本文对热点温度实验测量工作进行了尝试,叙述了用多通道光学高温计测量非均匀炸药表面热点温度的原理及方法。用实验方法得到在3.44GPa左右的冲击压力下,铸装TNT炸药表面热点温度约为3640K。     

粘弹塑性热点燃烧模型的冲击起爆理论

本文作者建议一种粘弹塑性燃烧模型作为冲击起爆的物理图象,并由此导出了著名的冲击起爆判据p~2=常数。     

The activation method for discretized conservative nonlinear stability problems with multiple parameter and state variables

For nonlinear stability problems of discretized conservative systems with multiple parameter variables and multiple state variables,the activation method is put forward,by which activated potential functions and activated equilibrium equations are derived.The activation method is the improvement and enhancement of Liapunov-Schmidt method in elastic stability theory.It is more generalized and more normalized than conventional perturbation methods.The activated potential functions may be transformed into normalized catastrophe potential functions.The activated equilibrium equations may be treated as bifurcation equations.The researches in this paper will motivate the combination of elastic stability theory with catastrophe theory and bifurcation theory.     

Buckling of a beam subjected to electromagnetic force and its stabilization by controlling the perturbation of the bifurcation

For a beam subjected to electromagnetic force, magnetoelastic buckling due to the increase of such force is theoretically investigated by taking account of the nonlinearity of the electromagnetic force and the elastic force of the beam. Using Liapunov-Schmidt method and center manifold theory, the equilibrium space, the bifurcation set and the bifurcation diagram are theoretically derived. Also, the effect of the higher modes other than the buckling mode on the mode shape of the postbuckling state is discussed. Furthermore, a control method to stabilize the magnetoelastic buckling is proposed, and the unstable equilibrium state of the beam in the postbuckling state, i.e., the straight position of the beam, is stabilized by controlling the perturbation of the bifurcation.     

挠性联结双体航天器的稳定性与分岔

研究圆轨道内受万有引力矩作用的挠性联结双体航天器在轨道平面内的姿态运动,讨论其相对轨道坐标系统平衡状态的稳定性与分岔。提出判平衡方程非平凡解存在性的几何方法,并应用Ｌｉａｐｕｎｏｖ直接法、Ｌｉａｐｕｎｏｖ－Ｓｃｈｍｉｄｔ约化方法和奇异性理论导出解析形式的稳定性与分岔的充要条件,从而对系统的全局运动性态作出定性的描述。     

Global dynamical behavior of a three-body system with flexible connection in the gravitational field

Summary In this paper, the global behavior of relative equilibrium states of a three-body satellite with flexible connection under the action of the gravitational torque is studied. With geometric method, the conditions of existence of nontrivial solutions to the relative equilibrium equations are determined. By using reduction method and singularity theory, the conditions of occurrence of bifurcation from trivial solutions are derived, which agree with the existence conditions of nontrivial solutions, and the bifurcation is proved to be pitchfork-bifurcation. The Liapunov stability of each equilibrium state is considered, and a stability diagram in terms of system parameters is presented. Received 10 March 1998; accepted for publication 21 July 1998     

Nonlinear dynamics of functionally graded pipes conveying hot fluid

For improved stability of fluid-conveying pipes operating under the thermal environment, functionally graded materials (FGMs) are recommended in a few recent studies. Besides this advantage, the nonlinear dynamics of fluid-conveying FG pipes is an important concern for their engineering applications. The present study is carried out in this direction, where the nonlinear dynamics of a vertical FG pipe conveying hot fluid is studied thoroughly. The FG pipe is considered with pinned ends while the internal hot fluid flows with the steady or pulsatile flow velocity. Based on the Euler–Bernoulli beam theory and the plug-flow model, the nonlinear governing equation of motion of the fluid-conveying FG pipe is derived in the form of the nonlinear integro-partial-differential equation that is subsequently reduced as the nonlinear temporal differential equation using Galerkin method. The solutions in the time or frequency domain are obtained by implementing the adaptive Runge–Kutta method or harmonic balance method. First, the divergence characteristics of the FG pipe are investigated and it is found that buckling of the FG pipe arises mainly because of temperature of the internal fluid. Next, the dynamic characteristics of the FG pipe corresponding to its pre- and post-buckled equilibrium states are studied. In the pre-buckled equilibrium state, higher-order parametric resonances are observed in addition to the principal primary and secondary parametric resonances, and thus the usual shape of the parametric instability region deviates. However, in the post-buckled equilibrium state of the FG pipe, its chaotic oscillations may arise through the intermittent transition route, cyclic-fold bifurcation, period-doubling bifurcation and subcritical bifurcation. The overall study reveals complex dynamics of the FG pipe with respect to some system parameters like temperature of fluid, material properties of FGM and fluid flow velocity.     

索-梁耦合结构Hopf分岔的反控制

本文研究了索-梁耦合结构的Hopf分岔的反控制,动态窗口滤波反馈控制器在反控制领域有着很广泛的应用。本文通过使用这种控制器,可以使得受控系统在指定的平衡点处产生Hopf分岔。最后,根据庞加莱截面和级数展开法,证明了上述方法的有效性及可行性。     

弹性地基上HDAJ接头桩的非线性稳定性分析

本文采用弧坐标首先建立了弹性地基中受轴向载荷作用的高柔性抗震拼接头桩(High Ductility Aseis-matic Joint Spliced Pile)的非线性数学模型,并假定土(基础)对桩基的反作用力服从Winkler模型;在此基础上对该模型进行了线性化,并得到HDAJ接头桩的临界载荷。最后根据分叉理论的观点和方法,讨论了HDAJ接头桩在临界载荷处的稳定性问题。研究结果表明HDAJ接头桩在临界载荷附近必发生分叉,且分叉解是唯一的,稳定的,并且给出了分叉解的渐近表达式。物理上,这表示HDAJ接头桩的平衡构形在临界载荷处必然发生改变,并且从一个稳定的平衡构形变化到另一个稳定的平衡构形。同时考察了土的液化对临界载荷的影响,说明液化的影响是非常明显的。当考虑土的液化时,桩基的临界载荷低于不考虑土的液化时桩基的临界载荷。     

一类混沌系统中的簇发振荡及其延迟叉形分岔行为

由于多时间尺度问题在实际工程系统中广泛存在,关于其复杂动力学行为及其产生机制的研究已成为当前国内外的热点课题之一.簇发振荡是多时间尺度系统复杂动力学行为的典型代表,而分岔延迟又是簇发振荡中的常见现象.本文为探讨非线性系统中分岔延迟所引发的簇发振荡的分岔机制,在一个三维混沌系统中引入参数激励,当激励频率远小于系统的固有频率时,系统产生了两时间尺度簇发振荡.将整个激励项看做慢变参数,激励系统转化为广义自治系统也即快子系统,分析快子系统平衡点的稳定性以及分岔条件,并运用快慢分析法和转换相图揭示了簇发振荡的动力学机理.文中考察了4组参数条件下系统的动力学行为,研究发现当慢变激励项周期性地通过分岔点时,系统产生了明显的超临界叉形分岔延迟行为,随着参数激励振幅的增大,分岔延迟的时间也逐渐延长,当这种延迟的动态行为终止于不同的参数区域时,导致系统轨线围绕不同稳定吸引子(平衡点,极限环)运动,从而得到了不同的簇发振荡行为.