测地极坐标下空间形式的度量特征

将R3中Gauss曲率为常数k0的常曲率曲面S的度量特征推广到了一般的空间形式,主要工作是利用活动标架法和测地极坐标的理论,通过对结构方程的微分,找到了关于度量的一个内在方程,由此给出了定理的一个证明。     

N-三甲基硅基对甲苯磺酰胺与对甲苯磺酸酯的反应

报道了3-氧杂-1,5-二戊醇二对甲苯磺酸酯及1,4-丁二醇二对甲苯磺酸酯与N-三甲基硅基对甲苯磺酰胺在碱存在下反应分别得到N-对甲苯磺酰基吗啡啉和N-对甲苯磺酰基四氢吡咯这一新的有机硅胺与磺酸酯的反应,在相同条件下N-三甲基硅基-对甲苯磺酰胺与对甲苯磺酸甲酯反应后仅得到N-甲基对甲苯磺酰胺,对此反应提出了可能的反应途径。     

一类非线性方程分歧解的稳定性

本文讨论了一类方程K(du)/(dt)=F(λ,u)分歧解的存在性及稳定性.这里K是依赖于实参数λ的解析算子.     

THEORY OF THICK-WALLED SHELLS AND ITS APPLICATION IN CYLINDRICAL SHELL

In this paper, a theory of thick-walled shells is established by means of Hellinger-Reissner's variational principle, with displacement and stress assumptions. The displacements are expanded into power series of the thickness coordinate. Only the first four and the first three terms are used for the displacements parallel and normal to the middle surface respectively. The normal extruding and transverse shear stresses are assumed to bt, cubic polynomials and to satLyfy the boundary stress conditions on the outer and inner surfaces of the shell. The governing equations and boundary conditions are derived by means of variational principle. As an example, a thick-walled cylindrical.shell is disscussed with the theory proposed. Furthermore, a photoelastic experiment has been carried out, and the results are in fair agreement with the computations.