评一些有限元著作中的简支梁计算

Discussion on the Calculation of Simple Beams in Some Finite Element Method Books

从简支梁定义出发,应用有限元法,对结构、受力对称的简支梁以及不同支承的对称梁进行了计算。结果表明,简支梁在对称面上有水平位移,而对称梁则没有,且两者应力值也不同,所以,在一些有限元著作中,将简支梁取1/2来进行简化计算是不恰当的。

Based on the definition simple beam, the finite element method is used to analyse some simple beams, with symmetric structure and loading, and symmetric beams, with different support. The calculation results show that there exists some horizontal displacements for simple beams in the symmetric plane but the symmetric beams have none and the stress states there are diffferent too. This paper suggests that in order to simplify the calculation some finite element method books take one half of the simple beam for the calculating model, which is not sufficient.