线性分布荷载作用下双模量简支梁的Kantorovich解

Kantorovich solution for bimodulous simply supported beam under linear distributed loads

利用Kantorovich法研究线性分布荷载作用下双模量简支梁的平面应力问题,推导简支梁的应力公式,并将该应力公式计算结果与有限元法计算结果进行比较,验证双模量简支梁的应力公式的可靠性。研究结果表明:双模量简支梁的应力公式是可靠的;对于线性分布荷载作用下双模量简支梁的平面应力问题的求解,不宜采用相同弹性模量弹性理论,而应该采用双模量弹性理论。

The plane stress problem of bimodulous simply supported beam under linear distributed loads was studied using Kantorovich method, and the stress formula was derived. The calculation results obtained by the stress formula were compared with those obtained by the finite element to verify the reliability of this method. The results show that the stress formula is reliable, and the plane stress problem of bimodulous simply supported beam under distributed loads can not be solved by the classical elastic theory with the same elastic modulus, but can be solved by the bimodulous elastic theory.