摘要
提出一种由单元协调边界位移直接插值单元位移的特殊插值法,并用该方法构造出一种新型的12节点参数C1阶协调任意四边形薄板弯曲单元。该特殊插值法分离了薄板单元完备性条件和C1阶连续条件的相互影响,从而才能直接构造出C1阶连续协调且完备薄板单元。理论证明该薄板单元具有完备性和C1阶连续性,数值分析表明其性能明显优于非协调单元。
A special interpolation of the element displacement field using the displacement along each side of element is proposed and a new C1 conforming quadrilateral thin plate bending element is developed. With the special interpolating method, the completeness conditions and the C1 conforming conditions of element are separated. C1 conformity and completeness of the element are proved theoretically. Numerical examples show that the element has more advantage than non-conforming elements.
出处
《工程力学》
EI
CSCD
北大核心
2005年第6期69-75,共7页
Engineering Mechanics
基金
湖南省自然科学基金资助项目(02JJY2074)
关键词
有限元
四边形薄板弯曲单元
C1阶连续性
完备性
边界位移插值法
finite element
quadrilateral thin plate bending element
C1 conforming
completeness
boundary displacement interpolating method
