The two kinds of mindlin composite laminates plate elements are introduced and a theory for load capability of composite laminates plate is stated 论述了基于mindlin板弯曲理论的两种复合材料层合板壳单元，阐述了复合材料层合板结构的承载能力分析理论和方法。
In this article based on vibration theory of the flexural plate , the frequency equation , the equivalent mass and radiation impedance are derived and further , design theory is introduced 本文从薄圆板弯曲振动理论出发，推导了这种阶梯圆盘的频率方程、等效质量、等效弹性和辐射阻抗，并进而提出了这种阶梯圆盘的一般设计方法。
A thorough study is exerted in this paper on the general method of transformation from plane elasticity displacement element , which is characterized by its simple formulation and sound reliability , to plate bending element 本文充分研究了将平面弹性位移法单元转化为板弯曲单元的一般方法。平面弹性单变量位移元具有列式简单、可靠性好的优点。
Since the similarity between plane elasticity and plate bending is a special case of the static - geometric analogy , this paper , therefore , studies the new formulation based on the static - geometric analogy in a broad sense 平面弹性和板弯曲的相似性是壳体静力?几何比拟的特例，所以在总的意义下本文就是研究基于板壳静力?几何比拟理论的新型板壳单元列式。
Using the similarity between plane elasticity and plate bending , this paper successfully fulfils the identification of rolling vector and establishes a general method , the curvature lumping method , to represent the rolling vector by the use of simple displacements vector 利用平面弹性和板弯曲的相似性，本文实现了角卷向量的辨识并得到了用简单位移向量表示角卷向量的一般方法?曲率堆集法，打通了与有限元通用程序的接口。
In this paper , we focus on the plate bending problem . a theorem about the anistropic interpolation is proved which is easier to be applied than apel ' s . based on the theorem , it is proved that the bicubic hermite rectangular element and the acm element have the anistropic interpolation property 应用给出的比apel的定理易于操作的各向异性插值定理，验证了用于板弯曲问题的协调元双三次hermite矩形元和非协调元acm元具有各向异性插值特征。
Lastly the above stiffness matrix , the nodal variables of which are the dual of stress functions , is replaced by a new one with simple displacements vector regarded as unknown . such finite element satisfies homogeneous equilibrium equations and can pass the patch test as long as the original plane elasticity element can pass the corresponding patch test 所得到的板弯曲单元在单元内部满足齐次平衡方程，并且只要原始平面弹性单元能通过常应变分片试验则转换得到的板单元一定能通过常曲率分片试验。
Based on the generalized variational principle of the modificatory variables and substituent shearing strain field interpolation of the bending theory of the mindilin plate , this paper brings up the nine - node mixed plate bending element and adopts the sap2000 ? a large - scale finite element analysis programs . by the examples , we find the precision of the method is satisfying 在对转换层厚板进行局部有限元分析时，本文提出了基于mindlin中厚板弯曲理论的修正的二类变量广义变分原理和替代剪应变场插值方法的九节点厚薄板通用的板弯曲单元，并采用了sap2000有限元程序。
In the first place , with the similarity theory , a bridge is set up between plane elasticity and plate bending to transform those good plane elasticity elements into plate bending elements ; then with the guiding theory of the static - geometric analogy , a new methodology of thin shell element is presented 研究的目的和解决方案首先是利用相似性理论在平面弹性有限元与板弯曲有限元之间建立一道桥梁，则可以将平面弹性中性能良好的单元转化为板弯曲单元。之后可以在此基础上以壳体的静力?几何比拟为指导理论构造新型薄壳单元。
The method removes the bottleneck of transformation from complementary energy element with stress functions vector to potential energy element with simple displacements vector . what is the most important about this method is that it never destroys the original convergence of the transformed plane elasticity element and that it can maintain the original precision 本文方法列式简单，所得板弯曲单元皆可通过常曲率分片试验、有正确的刚体运动模式并具有与原始平面弹性单元相称的良好精度，从而达到了将平面弹性单元转化为板弯曲单元的目的。
