两端弹性转动约束跨中受集中力作用梁的弯曲分析

Bending Analysis of Beam with Elastically Constrained Against Rotation at Both Ends and Concentrated Force at Mid-span

研究了两端弹性转动约束跨中受集中力作用梁的弯曲特性,给出了弯矩和挠度计算公式,分析了转动约束刚度对弯曲特性的影响。梁的弯曲特性不仅与转动约束刚度有关,而且还与梁的长度及弯曲刚度有关。当转动约束刚度参数小于0.01时,可近似按刚性转动约束计算;当转动约束刚度参数大于12时,可近似按自由转动约束计算。

The bending analysis of beam with elastically constrained against rotation at both ends and concentrated force at mid-span was investigated. The formulas of the bending moment and the deflection were given, and the influence of the rotational constraint stiffness to bending characteristics was analyzed as well. Bending characteristics of beam was not only related to the rotational constraint stiffness, but also related to the length and the bending stiffness of the beam. If the rotational constraint stiffness parameter is less than 0.01, it could calculate by rigid rotational constraint approximately; if the rotational constraint stiffness parameter is more than 12, it could calculate by free rotational constraint approximately.