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

曲阜师范大学：《现代分离方法与技术》课程教学大纲

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

By looking at the potential energy of an element, what can you conclude about the properties required for the basis functions of an euler -bernoulli beam element? They should be differentiable twice

The finite element melod I In FEM I We derived basis functions of arbitrary order for Hhe rod Model

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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 finite derwent meThod Ir position of boundary conditions(olis plcewent) We had obtained the aesewbed finite element eeve Kik2∞ Kht K Ki

Which of the following are real problems with the ritz method 1. Selection of basis functions for general ge- metres 2. Lack of systematic procedure to compute stiff atrix and forcing terms

美国麻省理工大学：《结构分析与设计技术》教学资源（讲义）notes121