双自由度非定点斜碰撞振动系统的动力学分析

对两个单摆组成的双自由度、非定点、斜碰撞振动系统的动力学行为进行了详细研究．揭示了在双自由度、非定点、斜碰撞过程中恢复系数、摩擦系数、系统参数和碰撞前后系统状态之间的关系．基于Poincaré映射方法和非定点斜碰撞关系推导出该系统单碰周期n次谐运动存在性判据．根据Floquet理论分析了该系统次谐运动周期解的稳定性问题,给出了Floquet特征乘子的计算公式．通过数值仿真证实了该方法的有效性,同时分析了非定点、斜碰撞系统碰撞点位置的概率分布情况．     

The MLP method for subharmonic and ultraharmonic resonance solutions of strongly nonlinear systems

ＩｎｔｒｏｄｕｃｔｉｏｎＴｈｅｓｔｕｄｙｏｆｔｈｅａｐｐｒｏｘｉｍａｔｅｓｏｌｕｔｉｏｎｏｆｓｔｒｏｎｇｌｙｎｏｎｌｉｎｅａｒｓｙｓｔｅｍｓｉｓｓｔｉｌｌｔｈｅｍａｉｎｔａｓｋｉｎｔｈｅｎｏｎｌｉｎｅａｒｄｙｎａｍｉｃａｌｒｅｇｉｏｎ .ＴｈｅｒｅａｒｅｍａｔｕｒｅｍｅｔｈｏｄｓｉｎｃｌｕｄｉｎｇｔｈｅｄｅｖｅｌｏｐｅｄＫＢＭｍｅｔｈｏｄ[1],ｔｈｅｍｏｄｉｆｉｅｄＬＰｍｅｔｈｏｄ[2 ]ａｎｄｔｈｅｓｔｒｏｂｏｓｃｏｐｉｃｍｅｔｈｏｄ[3]ｅｔａｌ.Ｈｏｗｅｖｅｒ,ｗｈｅｎｔｈｅｓｅｍｅｔｈｏｄｓａｒｅａ…     

Instability analysis of modulated Taylor vortices

This study investigates the instability analysis of modulated Taylor vortices flow by utilising a numerical method. Based on the consideration that the outer cylinder is fixed and the inner cylinder rotates at a non-zero averaged speed under varying modulated amplitudes and frequencies, the flow is converted from one-dimension Couette flow to Taylor vortices. When the modulated amplitude is greater than 1 and the rotation speed of the inner cylinder exceeds the threshold value for one-dimensional flow, the flow will be more stable at intermediate and high frequencies. When the modulated amplitude is sufficiently large and the inner cylinder rotates at medium frequency, subharmonic flow arises.     

Subharmonic Functions in the Unit Ball

For functions u subharmonic in the unit ball B_N of , this paper compares the growth of the repartition function of their Riesz measure μ with the growth of u near the boundary of B_N. Cases under study are: and , with A, B, γ positive constants and if N=2 or if N≥ 3. This paper contains several integral results, as for instance: when ∫_BN u⁺(x)[-ω^′(|x|²)]dx < +∞ for some positive decreasing C¹ function ω, it is proved that .     

强流射频电子直线加速器中的分频预聚束器的研制

本文介绍了中国原子能科学研究院FEL工程中的分频预聚束器的物理设计、加工、特性参数测量情况。研制结果表明,理论设计与参数测量的结果基本符合。     

Criteria for (Sub-)Harmonicity and Continuation of (Sub-)Harmonic Functions

We obtain criteria for harmonicity and subharmonicity of a function in a domain in R ^d , d2, in terms of special Arens–Singer and Jensen measures. We also establish a criterion for (sub-)harmonicity of a -subharmonic function in terms of the associated Riesz charge and special Arens–Singer and Jensen functions. To this end, we use the theorem of this article on continuation of (sub-)harmonic functions to polar sets.     

HARMONIC AND SUBHARMONIC BIFURCATION IN THE BRUSSEL MODEL WITH PERIODIC FORCE

1.IntroductionABrusselatorisoneofthebestexaminedmodelchemicalreactionswhichconsistsoffourstepsItisshowninFig.1schematicallyandisrepreselltedbythefollowingsetofequationsffevedFebruary6,1995.*~workissupportedbytheNationalNaturalScienceFOundationmanYuan"TermsinChina.ThemodelweadoptistheoneduetoPrigogine,Lefever,andNicolis(Brusselator)t'.Fig.1.'TheschematicdiagramofBrusselmodel(AdditionalcirculararrowsrepreseDttheexistenceofautocatalysis.)Herexandystandfortheconcentrationsofreferencereacta…     

上半空间中一类次调和函数的增长估计

本文证明了n-维(n≥2)Euclidean空间的上半空间中Poisson积分在无穷远点处的增长性质.同时将这个性质推广到次调和函数中去,其概括了解析函数和调和函数的增长性质.     

Plurisubharmonic and holomorphic functions relative to the plurifine topology

A weak and a strong concept of plurifinely plurisubharmonic and plurifinely holomorphic functions are introduced. Strong will imply weak. The weak concept is studied further. A function f is weakly plurifinely plurisubharmonic if and only if it is locally bounded from above in the plurifine topology and f°h is finely subharmonic for all complex affine-linear maps h. As a consequence, the regularization in the plurifine topology of a pointwise supremum of such functions is weakly plurifinely plurisubharmonic, and it differs from the pointwise supremum at most on a pluripolar set. Weak plurifine plurisubharmonicity and weak plurifine holomorphy are preserved under composition with weakly plurifinely holomorphic maps.