he finite element Metnod Overcome limitations of Rita Simple basis functions( ow order polyuouisls) Basisfonctians supported in sdo domains(fuite elemnet Basis functions constructed to provide interpolant of proximate soluton Undetermined beraweters represent vales of dead

The correct global local node mapping for the quadraticelement mesh in the figure is

Finite element wodel of a beam(Euler-Bernollia- governing eQuations

Numerical integration Consider He 4-D integral =+(s 1 Seek n-point apploxiwisfions G~2M =1 are the weights and

cmaulenon o isoparametRic elemets (Bathes book Consider the uadriltersd denat shown in the 8oc nodd coordinates

Concept Question How many quadrature points do you need to integrate exactly the stiffness matrix of a lD finite element with quadratic interpolation for the displacements? gauss

properties of finite dement soltions Noded point equilibrio At a node, the sow of he elemeat nodal forces s in equilibriun with Hhe externed loads

• 8.1焊接工艺基础 • 8.2熔化焊 • 8.3 其它焊接方法 • 8.4常用金属材料的焊接 • 8.5焊接件结构工艺设计

一、数据管理技术的发展 二、数据组织的层次 三、数据库设计

How many quadrature points do you need to integrate a polynomial of order p= 3 exactly using Gauss'method