二度游离钙之光谱之分析

本文就已知之记录,分析钙之二度游离光谱,凡较强之线在Schumann氏范围之极端约λ1010以下者几全均识别;而所新得之十六项亦具表详列对AⅠ,KⅡ及CaⅢ之等电子序并有详细讲讨论更有3s5p~64s~3S_1项者,与3s~23p~44s诸项相配合,亦经分析酌定焉。     

曲线边界薄板弯曲问题的一种新单元：曲边四边形单元

本文提出了曲边四边形薄板弯曲单元解决曲线边界薄板的弯曲问题.文中给出了二维坐标的变换关系,由于引进了基于广义变分原理的附加刚度,使计算精度更高,计算机时相对缩短.通过算例,说明这种单元计算精度是相当高的。     

圆薄板大撓度问题

Equations for the large deflection of thin plate established by Th. von Karman has been well known for many years. But so far there have been only a few iproblems studied with numerical certainty. S. Way was the first to apply these equations to solve the problem of a clamped plate under uniform pressure by the method of power series. After this, S. Levy found the solution of the simply supported rectangular plate under uniform load by the method of double trigonometric series. Both methods are too labourious to be applicable to other more important cases. Lately, Chien Wei-zang treated Way's problem again by means of the perturbation method and obtained excellent results. By the method as given by Chien Wei-zang, Yeh Kai-yuan worked out the problem of circular plate with a central hole under central concentrated load.In this paper, more results are given for various circular plates under various edge conditions. These include uniformly loaded circular plate under various edge conditions (section 2) and central concentrated loaded circular plate under various edge conditions (section 3). Such edge conditions are: (1) simply supported, (2) simply hinged, (3) rigidly clamped, (4) clamped but free to slip, (5) edge clamped but with possible slipping in horizontal direction, (6) edge simply supported but elastically fastened, and (7) edge clamped in elastic wall.All these results are presented in such a form that direct application in design problem is possible. In particular cases, under edge conditions (1) to (4), as σ=0.3, design formulae and curves for central deflection, radial tensile stress and radial bending stress are presented.     

COMPARISON OF THE CALCULATIONS OF THREE-CONVOLUTION CIRCULAR ARC CORRUGATED DIAPHRAGMS BY TOROIDAL SHELL THEORY AND BY ORTHOGONAL ANISOTROPY PLATE THEORY

The calculation of elastic deformations of corrugated diaphragms was given by orthogonal anisotropy plate theory, and its result agrees with the experimental results. But it has never been discussed seriously how the number and form of convolutions affect the elastic deformations and stress distributions of anisotropyplate. As a result, adaptable limits of orthogonal anisotropy plate theory cannot be indicated when it is used to calculate diaphragms. It is said that the theory is fairly good for calculating elastic deformations of the diaphragms which have more convolutions. It is also said that the error in calculating stresses is rather large. This paper, by using the toroidal shell theory, presents the calculation of deformationsand stresses of three-convolution circular are corrugated diaphragms both symmetrical and unsymmetrical, compares its result with that of the orthogonal anisotropy plate theory and gives definite adaptable limits of the latter theory.     

VARIATIONAL PRINCIPLES AND GENERALIZED VARIATIONAL PRINCIPLES FOR NONLINEAR ELASTICITY WITH FINITE DISPLACEMENT

In a previous paper (1979), the minimum potential energy principle and stationary complementary energy principle for nonlinear elasticity with finite displacement, together with various complete and incomplete generalized principles were studied However, the statements and proofs of these principles were not so clearly stated about their constraint conditions and their Euler equations. In somecases, the Euler equations have been mistaken as constraint conditions. For example, the stress displacement relation should be considered as Euler equation in complementary energy principle but have been mistaken as constraint conditions in variation. That is to say, in the above mentioned paper, the number of constraint conditions exceeds the necessary requirement. Furthermore, in all these variational principles, the stress-strain relation never participate in the variation process as constraints, i.e., they may act as a constraint in the sense that, after the set of Euler equations is solved, the stress-strain     

轴对称加载的阶梯式压力容器的径向振动

用奇异函数建立轴对称加载的阶梯式压力容器径向自由振动和强迫强振的微分方程并求得其通解,用Ｗ算子给出主振型函数的表达式及常见支承条件下容器的频率方程。     

TORSIONAL RIGIDITY OF SHELLS OF REVOLUTION

In this paper,the general equations of equilibrium for axisymmetrical deformationincluding the torsional deformation of revolutional shells are derived.It is shown that theshearing stress distribution due to torsion is independent of other stress componentsincluding those of membrane stress and bending stress.In this paper,the torsional deformation is considered to be represented by membraneaction only,and also by the combined action of bending membrane deformation.It is shownthat the main contribution of torsional rigidity is that related to membrane action.     

应用数学和力学

正《应用数学和力学》(Applied Mathematics and Mechanics)于1980年由我国著名科学家钱伟长先生在重庆交通大学创办,创刊时为季刊,翌年增为双月刊,1985年起扩大为月刊.期刊主要刊登力学、力学中的数学方法和与现代力学紧密相关的应用数学方面的高水平学术论文,同时刊登土木建筑、水利水工、道路桥梁、航海造船、航空航天、机械冶金、国防军工、防灾减灾、能源环保、生物化工等领域中力学和数学建模、分析方面具有学术水平和实用价值的论文.     

发刊辞

为了在新长征道路上,发表我国力学和应用数学的新成就,并真正做到学术上的百家争鸣、百花齐放,用以推动我国应用数学和力学的发展,我们在中央交通部、重庆市委和市科协,以及重庆交通学院的关怀和大力支持下,编辑出版了这个全国性的学术刊物.在筹备过程中,迅速得到了全国各地力学界和应用数学界的热烈响应,文稿纷至,美不胜收.这显示了我国力学与应用数学界不愧是勤劳才智的中国人民的科学界,是有志气、有才能在四个现代化的长征道路上作出国际水平的贡献的.     

Second order approximation solution of nonlinear large deflection problems of Yongjiang Railway Bridge in Ningbo

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