摘要
链线旋转壳体由于其优良的力学特性被广泛应用于教堂结构中.为了更好地理解悬链线旋转壳体的变形和应力,我们推导了两种悬链线旋转壳体的主曲率半径,以及悬链线旋转壳体位移型控制方程.对于悬链线旋转壳体的这个位移型方程和Reissner-Meissner混合型方程进行了数值计算和对比.计算结果显示悬链线旋转壳体的力学性能对于悬链线几何参量c非常敏感.揭示了对于一些荷载情况悬链线旋转壳体的力学性能优于相应的球壳.论文还提供了两个完整的Maple程序.
The catenary shells of revolution are widely used in church constructions due to their unique mechanics'features.To have a better understanding of the deformation and stress of the catenary shells of revolution,we formulate the principal radii for two kinds of catenary shells of revolution and their displacement type governing equations.Numerical simulations are carried out based on both Reissner-Meissner(R-M)mixed formulations and displacement formulations.Our investigations show that both deformation and stress response of elastic catenary shells of revolution are sensitive to its geometric parameter c,and reveal that the mechanics of the catenary shells of revolution has some advantages over the spherical shell for some loadings.Two complete codes in Maple are provided.
作者
孙博华
Bo-Hua Sun(School of Civil Engineering&Institute of Mechanics and Technology,Xi'an University of Architecture and Technology,Xi'an 710055,China)
基金
supported by Xi'an University of Architecture and Technology(Grant No.002/2040221134).
