四边简支钢筋混凝土矩形薄板的热屈曲

THERMAL BUCKLING OF REINFORCED CONCRETE RECTANGULAR PLATE WITH SIMPLY SUPPORTED BOUNDARY CONDITIONS

基于刚性板和小挠度理论,考虑混凝土的材料非线性,推导了热载作用下钢筋混凝土矩形薄板的平衡方程和稳定方程。给出了四边简支钢筋混凝土矩形薄板在横向变温和温度均匀变化时临界屈曲温度变化的封闭解,并对工程中常见的钢筋混凝土矩形薄板在温度均匀变化时的临界屈曲温度变化进行了计算,讨论了板的材料常数、长宽比和相对厚度对临界屈曲温度变化的影响,从而为工程结构中钢筋混凝土矩形薄板的临界屈曲温度变化的计算提供了理论计算依据。

Based on the rigidity plate and the small deflection theories, and considering the physical nonlinearity of concrete, the equilibrium and stability equations of reinforced concrete rectangular plate subjected to thermal loading are derived. The close-form solutions of the critical buckling temperature difference for a simply supported RC rectangular plate under temperature variation perpendicular to surface and uniform temperature change are presented, and the critical buckling temperature variations of frequently used reinforced concrete rectangular plates with simply supported boundary conditions in engineering are calculated, and the influences of material parameters, length-breadth ratio and relative thickness on the critical buckling temperature difference are discussed, which provides a basis for the calculation of the critical buckling temperature difference for reinforced concrete rectangular plates.