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以薄板理论的广义混合变分原理为基础 ,建立了一种适用于薄板弯曲分析的有限元广义混合模式 ,给出了较实用的选择分裂因子的方法 ,算例表明有限元广义混合法比常规位移模式的精度高 ,同时还能克服常规有限元中的某些病态问题。本文还讨论了该法克服常规有限元中某些病态问题的机理。
Based on the generalized mixed variational principle of thin plate theory, a finite element generalized mixed mode suitable for thin plate bending analysis is established, and a more practical method of selecting the splitting factor is given. The examples show that the generalized mixed finite element method The accuracy of the displacement mode is high, while overcoming some ill-posed problems in conventional finite elements. The paper also discusses the mechanism of the method to overcome some of the pathological problems in the conventional finite element method.