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在刚架有限元分析中,为了不使自由度太多,通常将每个杆件作为一个单元,而不再细分。在此情况下,如用常规有限元法计算刚架的临界荷载,误差可达100％以上。 本文先引入内部位移参数,然后用凝聚方法加以消去,导出一个刚架稳定分析的高精度单元,在保持常规有限元相同自由度的情况下,使计算精度大为提高,误左在4％以下。为刚架稳定分析提供一个有效的实用方法。
In rigid frame finite element analysis, in order not to make too many degrees of freedom, each bar is usually used as a unit and no more subdivided. In this case, if the critical load of the rigid frame is calculated using the conventional finite element method, the error can reach more than 100%. In this paper, the internal displacement parameters are introduced firstly, then eliminated by the agglomeration method, and a high-precision unit for stability analysis of a rigid frame is derived. Under the condition of maintaining the same degree of freedom of the conventional finite element, the calculation accuracy is greatly improved, and the false left is below 4%. . Provides an effective and practical method for rigid frame stability analysis.