THE SOLUTION OF LARGE DEFLECTION PROBLEM OF THIN CIRCULAR PLATE BY THE METHOD OF COMPOSITE EXPANSION

In this paper, the method of composite expansion in perturbation theory is used for the solution of large deflection problem of thin circular plate. In this method. the outer field solution and the inner boundary layer solution are combined together to satisfy all the boundary conditions. In this paper, Hencky's membrane solution is used for the first approximation in outer field solution, and then the second approximate solution is obtained. The inner boundary layer solution is found on the bases of boundary layer coondinate. In this paper, the reciprocal ratio of maximum deflection and thickness of the plate is used as the small parameter. The results of this paper improves quite a bit in comparison with the results obtained in 1948 by Chien Wei-zang.     

复合材料对称层合板单向拉伸与面内剪切下的三维应力分析

本文给出了单向拉伸与面向剪切载荷下复合材料对称层合板中心区域的应力和应变沿板厚的数值计算分布规律。计算结果表明，在斜交对称辅层的层合板中心区域层间界面附近存在着层间边界层效应。层间界面处纤维走向的突变导致局部的三维应力状态和很强的应力集中。     

高度游离钾及钙之光谱

(一)KⅢ-CaⅣ自Ekefors氏所公布之诸波长内,已分析出之线,属於KⅢ者42条,属於CaⅣ者35条。Ram所得诸项名目之分派,自无规双线定律,强度,及複线间开定律诸方面观之,不无疑问著者因对此重新鑑定,其结果殊觉满意。(二)KⅣ-CaⅤ本文所鑑定之诸线;属於KⅣ者单线七,三线五;属於CaⅤ者单线五。对等电子序SⅠ,ClⅡ,AⅢ,KⅣ及CaⅤ内s~2p~4~3P,~1D,~1S诸项之相对位置,亦有讨论。(三)KⅤ-CaⅥ著者於KV内,得到双线之间开等於237(s~2p~3~2D)及319(s~2p~3~2P)者甚多:在CaⅥ内,亦有甚多双线,其间开等於417(s~2p~3~2D)及556(s~2p~3~2P);本文对上列诸双线,均经鑑定。又藉无规双线定律,对属於KV之s~2p~2(~3P)3d~4P,~4D,~4F诸项亦全经识别。(四)KⅧ-CaⅨ本文得有CaⅨ之sp~3P-p~2~3P,及KⅧ与CaⅨ之sp~1P-sd~1D,s~2~1S-sp~1P诸线(五)KⅨ-CaⅩ本文鑑定KⅨ之线八,及CaⅩ之线六,为Edlen氏工作之补充。     

Discussion on“General Solutions of Axial Symmetrical Ring Shells”

There is one point to be mentioned about the decay constant of homogeneoussolution in the paper“General Solutions of Axial Symmetrical Ring Shells”(No.3.1980 of this Journal).There is an infinite number of rootsλ.The general form ofthese roots is     

弹性圆板在一侧受均载而四周固定的条件下不用Kirchhoff—Love假设的一...

本文在前文［１］所得的微分方程和有关边界条件的基础上，求得一这些方程在有关边界条件下的解析解。当然，为了节省计算工作量，我们进一步简化了一级近似理论，使它在保持合理的基础上，更加简单化了。     

不用克希霍克—拉夫假设的弹性圆板理论再探

本文在不用克希霍夫－拉夫假设的弹性板一般理论的基础上，建立了不用克希霍夫－拉夫假设的弹性圆板的一级近似理论，对圆板的四周固定和均布载荷的条件下，得到了具体的轴对称分析解，并和红典的圆薄板解进行了比较，证明本文新解更加接近实验结果，本文也具体地讨论了理论结果中厚度增大时的影响。     

COMPATIBLE DYNAMIC FINITE ELEMENT WITH DIAGONALIZED CONSISTENT MASS MATRIX

In this paper,the compatible dynamic finite elements withdiagonalized consistent mass matrix are studied.In pre-vious papers,the author studied the dynamic finiteelements with diagonalized consistent mass matrix,but allof them are incompatible elements.In this paper,the com-patible form functions are obtained not only for the te-trahedron elements,but also for the triangular ring ele-ments,with diagonalized consistent mass matrices. Thiskind of finite elements can be used for the treatment ofimpact problems,Vibration problems,and problems invol-ving time coordinates,including the linear and nonlinearproblems.     

DIAGONALIZED CONSISTENT MASS MATRIX AND THE DYNAMICAL FINITE ELEMENT ANALYSIS OF ELASTIC-PLASTIC IMPACT IN AXISYMMETRICAL PROBLEMS

In this paper,the diagonalized consistent mass matrix is foundfox the triangular ring element in axisymmetrical problems.Theresults of this work eliminate the feeling of uncertainty and ar-bitrariness of lumped mass method on the one hand and the diffi-culty of computation due to non-diagonalized character of consis-tent mass method on the other.This paper gives also the founda-tions of the finite element analysis of elastic-plastic axisymme-trical impact problems.     

旋转壳的抗扭刚度

本文列出了旋转壳在包括扭转在内的轴对称变形下的一般平衡方程,并证明了旋转对称壳内的剪应力独立于壳内其它薄膜和弯曲应力.本文求解了只考虑薄膜应力的扭转问题,也求解了考虑弯曲扭应力在内的扭转问题,并指出了在薄壳中,抗扭刚度的主要部份来源于薄膜应力.     

付氏变换在三角级数求和中的应用

本文建立了用付氏变换在三角级数求和中的新的重要定理,并用付氏变换的已知结果,解决了不少困难和复杂的三角级数求和问题.这是三角级数求和的新方法,作者曾用以编著了数以万计的三角级数之和的大表.许多结果都是新的.