【摘要】 用多变量拟协调法推导出了9参数拟协调离散Kirchhoff薄板单元(LDKT—9)。LDKT—9元是在用拟协调方法推导出的同类离散的Kirchhoff型单刚基础上,在构造应变场函数时加入内部参数,然后用内凝聚的方法形成LDKT—9元的单元刚度阵。本文提出的单元显示出了拟协调元的良好性能:既保留了常规位移型单元简便实用的优点,又能保证收敛,较同类单元对单元形状敏感性下降。是一种具有实用价值的高精度薄板弯曲单元。更多还原

【Abstract】 The popular Discrete Kirchhoff Thin plate element (DKT) is veryefficient and has been imposed on many computing program. But itsderivation is rather in a zigzag and its mechanism is hard to understand.A new formulation of 9-parameter Quasi-conforming Discrete KirchhoffThin plate bending element (LDKT-9) has been derived by themultivariate quasi-conforming method. Based on the theory andformulation of quasi-conforming method it is much easier to realize andto understand the mechanism of this kind of element. This also ensuresonce more that the quasi-conforming method is a very basic formulationof finite element method.更多还原