板边约束对矩形薄板热屈曲影响的研究

考虑梁的弯曲刚度和扭转刚度的不同,可将板边看成不同的约束形式。基于板的小挠度弯曲理论和材料的线弹性模型,推导了均匀变温作用下矩形薄板的热屈曲微分方程,讨论了板的材料常数、长宽比、宽厚比对临界屈曲变温的影响,并比较板边不同的约束形式对薄板热屈曲的影响,从而为工程结构中受到较大变温作用的矩形薄板的抗屈曲设计以及与薄板相关的梁的设计提供了理论依据。

The Study from Influences of Boundary Conditions on Thermal Buckling of Rectangular Plate

Tacking account that different beams have different flexural rigidity and tensional rigidity;the boundary conditions of plates are various. Based on the small deflection and Linear Elastic Theory of concrete,the equilibrium and stability equations of reinforced concrete rectangular plate subjected to thermal loading are derived. The influences of material parameters, length-breadth ratio and relative thickness on the critical buckling temperature differences are discussed, and the thermal buckling of plates with different boundary condition are compared, which provides a basis for the design of a plate under thermal loading and a beam contacted with the plat.