竖向均布荷载作用下拱形蜂窝梁的挠度研究

Research on deflection of circular-hole castellated beams under vertical uniform load

研究了考虑截面剪切变形影响的拱形蜂窝梁挠度。利用能量法推导了受竖向均布荷载作用的简支拱形曲梁和简支拱形蜂窝梁的跨中挠度计算公式,并运用ABAQUS对不同尺寸拱形蜂窝梁进行了几何非线性分析,结果表明理论解和有限元解吻合较好。构件高跨比较大时,腹板剪切变形对拱形蜂窝梁挠度的影响较大;考虑截面剪切变形影响的挠度计算公式比不考虑截面剪切变形的挠度计算公式保守;曲率对理论解的影响较小且不超过4%。

The deflection of circular-hole castellated beams with shear defoemation is studied.The solution is derived by use of the energy method.To validate the derived analytical solution,three-dimensional linear finite element analysis is performed with shell elements built-in the software ABAQUS.The comparison of numerical results between the finite element method and the analytical solution shows that the analytical solution can accurately predict the deflection of circular-hole castellated beams and the equivalent stiffness method is in good agreement with the accurate method.In addition,the comparison between the present analytical solution and the ordinary solution shows that the former is more accurate than the latter,especially when the depth-span ratio of members is large.The effect of curvature on the defelection is smaller than 4%.