摘要
用多变量拟协调法推导出九参数拟协调离散Ｋｉｒｃｈｈｏｆｆ薄板单元（ＱＤＫＴ－９）， 并证明了ＱＤＫＴ－９单元与 ＤＫＴ－９单元（九参数离散 Ｋｉｒｃｈｈｏｆｆ 薄板单元）的一 致性。基于拟协调元方法的理论和公式，人们将易于理解和认识这一类单元，ＤＫＴ 单元仅是一种放松了直法线假设的拟协调薄板元。不难看出：拟协调元方法是一种非 常基本的有限元方法。
The popular Discrete Kirchhoff Thin plate bending element (DKT) is very efficient and has been imposed on many computing programs. But its derivation is rather in a zigzag and its mechanism is hard to understand. In this paper a 9-parameter Quasi-Conforming Discrete Kirchhoff Thin plate bending element (QDKT-9) has been derived by the multivariate quasi-conforming method and it is proved to be consistent with DKT-9. Based on the theory and formulation of quasi-conforming method it is much easier to realize and understand the mechanism of this kind of element. This also ensures once more that the quasi-conforming method is a very basic formulation of finite element method.
出处
《大连理工大学学报》
EI
CAS
CSCD
北大核心
1990年第3期263-268,296,共7页
Journal of Dalian University of Technology
基金
国家自然科学基金资助项目~~
关键词
有限元法
拟协调元
薄板单元
离散
finite element method
thin plate/quasi-conforming
discrete Kirchhoff thin bending plate element
patch test
