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In the second example, we obtain a proof of the Chalyh-Veselov conjecture that the Calogero-Moser system with integer parameter is algebraically integrable, using the results of Felder and Varchenko.
      
As an application of the results we prove a generalization of Chevalley's restriction theorem for the classical Lie algebras.
      
We apply these results to intersection theory on varieties with group actions, especially to Schubert calculus and its generalizations.
      
In this paper, we prove three types of rigidity results related to CAT(-1) spaces, namely the rigidity of the isometric actions on CAT(-1) spaces under the commensurability subgroups, the higher rank lattices and certain ergodic cocycles.
      
This extends the results and simplifies the proof for the classical orbit structure description of [10] and [11], which applies whenF=Z.
      
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  numerical results
The numerical results show the advantage of the method.
      
The numerical results show the advantages of such method.
      
Global convergence and locally quadratic convergence are obtained,and numerical results are given.
      
Numerical results also declare effectiveness of the method.
      
Numerical results demonstrate that the transformation is more feasible.
      
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  computation results
The corresponding procedures implemented in the Mathematica system and computation results related to the elliptic restricted five-body problem are presented.
      
The corresponding procedures implemented in the Mathematica system and computation results related to the elliptic restricted four-body problem are presented.
      
A way out is to laboriously accumulate the estimates and computation results and to consistently remove ambiguities.
      
The computation results agree quite satisfactorily with the experimental data on the current dynamics and the duration of the stable phase of a non-self-sustained discharge for various applied voltages.
      
Computation results are presented for a structure with gratings consisting of metal rings.
      
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  computed results
The computed results show that the landing damage to the fighter and transport airplanes is 75% and 60% of the total damage, and the damage caused by the landing stroke is 40% of the landing-gear damage.
      
It is shown that the computed results are in good agreement with the results of experiments in a broad range of variation of the governing parameters.
      
The computed results are in good agreement with experiment.
      
It is shown that good agreement between the experimental and computed results for a discharge in oxygen over a wide range of reduced electric fields can be achieved only by taking into account the ion component of the discharge current.
      
The computed results coincide quite well with experimental results.
      
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  其他


The paper presents the equation of the stress function for the two dimensional problems of the non-homogeneous isotropic medium, For the plane strain, For the plane stress, the temperature term changes to and The paper then leads to the problem of two mediums. It treats the case with the sudden change of modulus on the interboundary between two regions with different moduli. The stress function for the two sides of the interboundary, should keep and equal, and besides, and The equations of stress function...

The paper presents the equation of the stress function for the two dimensional problems of the non-homogeneous isotropic medium, For the plane strain, For the plane stress, the temperature term changes to and The paper then leads to the problem of two mediums. It treats the case with the sudden change of modulus on the interboundary between two regions with different moduli. The stress function for the two sides of the interboundary, should keep and equal, and besides, and The equations of stress function established together with the interboundary conditions, are the bases for solving problems with non-homogeneous isotropic mediums. The paper also auggests an alternative interboundary equation which satisfies the main jointing condition between two mediums. The stress function can also be applied to the mixed boundary condition problems. On those parts of the boundary, with known displacements, the boundary conditions for stress function can be expressed by: and Together with and being known in the loaded part of the boundary, thus the general boundary conditions for stress function in the mixed boundary condition problems are established. In this paper the author uses the gravity-dams as working example. The gravity-dam with different moduli for dam and foundation is taken as the first example. In another example the foundation is considered as absolutely rigid. The later gives rise of the mixed boundary condition problem. The calculation is done by method of finite fifference using relaxational technique. New relaxational patterns have been set up. The numerical calculations are worked out for the second example. foe results are checked by model grid-tests. The agreement between the calculated and tested rested results shows that the method is applicable to such kind of problem.

本文建立了非均匀介质弹性力学平面问题的应力方程式: 平面应力情况下:平面应力情况下温度项改为 当两个区域的弹性模量有突变时,交界张s的两侧的应力函数除应将及相等外, 并且要求: 根据这些方程式及交界条件建立了应用应力函数解非均匀介质的基楚。同时提出了一个保证 主要连接条件和变形协调的近似方程式。 本文所提的应力函数表达式可以应用到混合边界的平向题题上,在位移给定的条件下的一般 应力函数边界条件为: 及 因而建立了用应力函数解混合边界问题的条件。 本文以重力壩为例进行了具体计算,壩基为绝对刚性。这也是一个有一部分边界位移为零的 混合边界问题,计算使用差分方程及松弛法,为此建立了新的计算样板和松弛样板,计算的结果 和使用网格法试验的结果进行了比较。

Forced vibrations,including main resonance and demultiple-frequency reso- nance,of the system +n+ω~2x+εx~2=h cos vt with nonsymmetrical restoring force have been studied before by using the asymp- totic method.Owing to the fact that this equation is somewhat peculiar,the reliability of the asymptotic method in studying it should be checked.Some vibration characteristics need also further investigation.This work has been done on three different models of electronic analog computers and definite results are obtained.In...

Forced vibrations,including main resonance and demultiple-frequency reso- nance,of the system +n+ω~2x+εx~2=h cos vt with nonsymmetrical restoring force have been studied before by using the asymp- totic method.Owing to the fact that this equation is somewhat peculiar,the reliability of the asymptotic method in studying it should be checked.Some vibration characteristics need also further investigation.This work has been done on three different models of electronic analog computers and definite results are obtained.In the case of large damping,the analog computers and the asympototic rnethod give results in close sgreement.In the case of small damping, the results obtained with the asymptotic method is also agreeing with the results given by analog computers.For the main resonance of the system with small damping,an upper limit of vibration amplitude independent of the disturbing frequeney is found by using analog computers.The fundamental block diagram of the analog computers is also given in the paper.

关于非对称恢复力系统(?)+n(?)+ω~2_x+εx~2=h cos vt的强迫振动,包括主共振与分频共振,过去会用渐近法进行了理论研究。由于这种方程比较特殊,对于它渐近法的可靠程度值得加以校核;有些振动特性也还有待于进一步探讨。这项工作会在三种不同型号的电子模拟计算机上进行,并得出肯定的结果。对于大阻尼情形,模拟机与渐近法的二次近似给出彼此密切符合的结果。对于小阻尼情形,渐近法的计算结果也基本上与模拟机结果一致。对于小阻尼情形的主共振,用模拟机求出了一个不随干扰频率而变的振幅上限。文中也给出了计算机的基本结构图。

A general theory for snap-through buckling of an open bimetallic shallow spherical shell under uniform temperature field is presented in this paper. It relates the critical buckling temperature both to physical and geometrical parameters of the shell, including the extent of its central opening as another important factor. Furthermore, they are expressed accordingly by various practical curves. While reducing to the special case of a closed shallow spherical shell, present theory appears to be in good agreement...

A general theory for snap-through buckling of an open bimetallic shallow spherical shell under uniform temperature field is presented in this paper. It relates the critical buckling temperature both to physical and geometrical parameters of the shell, including the extent of its central opening as another important factor. Furthermore, they are expressed accordingly by various practical curves. While reducing to the special case of a closed shallow spherical shell, present theory appears to be in good agreement with earlier work by Wittrick.According to the selection of reference surface of coordinates as suggested by and Radkowski, the basic equations for a double-layered shell are first simplified in forms similar to those of classical shell theory. By analogy, the thermal effect is replaced by an equivalent edge-moment loaded uniformly along both boundaries of the shallow spherical shell. The problem is then solved according to Hu's simplified method, but with some vital modifications. From the results of numerical computations, the paper gives some rather interesting conclusions, which may be valuable in designing the elastic elements of various instruments in engineering.

本文提出了有关开顶双层金属球面扁壳在均匀温度场作用下的稳定性的一般理论,它给出临界跳跃温度与壳体的物理、几何诸参数之间的相互关系,包括其开顶牛径大小也作为一个重要因素.文中并将它们绘成相应的实用曲线.在封顶球面扁壳的简化特例情况下,新理论似与早期wittrick的计算结果趋近一致. 根据与Radkowski建议的坐标参考面的选择方法,我们将双层壳体的基本方程首先简化成与经典壳体理论相似的形式.再通过比拟,以作用于球面扁壳内外边界上的均匀分布的相当边界力矩来替换温度效应.然后采用文献[6]的简化方法作了必要的改进来求解方程.从数值计算的结果,文中给出了一些有趣的结论,它们对于工程上各种仪表弹性元件的设计具有一定的参考价值.

 
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