摘要
文章利用Hormander算子法将计入横向剪切变形的厚板的基本解表示成一个标量函数及其微分的线性组合。文中分别就两参数地基厚板,各向同性厚板,两参数地基上对称叠层厚板和对称叠层原板四种情况加以讨论,采用一种较为系统的方法,求出了相应的四种标量函数。
In this paper,the fundamental solutions of thick plates including transverse shear deformation are represented in linear combination of a scalar function and its derivaties by the use of ho··rmander's method. Four kinds of thick plates are discussed.(a).Isotropic thick plates on two parameter foundation,(b).Isotropic thick plates,(c). Symmetrically laminated thick plates on two parameter foundation,(d). Symmetrically laminated thick plates.Four kinds of scalar funcions are given corresponding four kinds of thick plates by the use of a reasonable systematic method.
出处
《合肥工业大学学报(自然科学版)》
CAS
CSCD
1997年第3期62-69,共8页
Journal of Hefei University of Technology:Natural Science
基金
国家自然科学基金
国家教委留学回国人员基金
关键词
叠层厚板
弹性基础
基本解
边界元法
Laminated thick plates, Elastic Foundation,Fundameatal solutions