梯度温度下考虑剪切变形影响的弹性约束拱的力学行为

Mechanical Behavior of Arches with Elastic-rotationally Restrained Ends under Gradient Temperature Incorporating Shear Deformations

考虑了剪切变形的影响对梯度温度作用下弹性约束圆弧拱的力学行为展开研究,推导了梯度温度作用下工字形截面圆弧拱的有效中心位置,通过能量法推导了弹性约束拱在梯度温度作用下的平面内变形、轴力和弯矩显式表达式,数值讨论了具有不同圆心角和弹性约束的圆弧拱在梯度温度作用下的内力变化情况。结果表明,梯度温度对浅拱的影响较为显著。考虑剪切变形能够使拱的弯矩减小,同时拱的轴力随着弹性约束柔度增大而减小。

The mechanical behavior of circular arches with elastic-rotationally restrained ends under gradients temperature incorporating shear deformations was studied.The effective center of the arch with I-section under gradient temperature is derived,and the energy method is employed to derive the explicit expression of the deformation,axial force and bending moment of the arch under gradient temperature.A parameter study is carried out to study the effect of gradient temperature on the inter force of the arch with different including angle and varying elastic-rotationally restrained ends.The results show that the thermal effects of the gradient temperature field on shallow arches are significant.It is also found that the bending moment of the arch decrease when the effect of the shear deformation is considered,and the axial force of the arch also decreases as the flexibility of the elastic restraint increases.