矩形平面互承结构挠度解析

ANALYTICAL SOLUTIONS TO THE DEFLECTION OF RECTANGULAR RECIPROCAL FRAMES IN PLANE

为高效求解矩形平面互承结构挠度,基于结构力学能量法,计算了基本互承单元位移参数,推导出单向拓展平面互承结构最大挠度的解析解。根据弹性力学薄板理论,将单向拓展平面互承结构的解析解公式推广,得到三角形互承单元构成的矩形平面互承结构的挠度解析解。以8m跨度平面矩形互承结构为例,对比公式结果与ANSYS结果。结果表明公式解的精度满足结构初步设计要求。

To solve the deflection of rectangular reciprocal frames(RF)in plane,the displacement parameters of ba-sic RF modular units are calculated and the analytical solution to the deflection of unidirectional-expanded RF in plane is derived by the energy method of structural mechanics.The displacement parameters of basic RF modular units are calculated and the analytical solution to the deflection of unidirectional-expanded RF in plane is derived.On the basis of thin plate theory of elastic mechanics,the analytical solution of unidirectional-expanded RF in plane is extended to obtain the analytical solution to the deflection of rectangular RF in plane consisted of triangular rect-angular modular units.A case study with 8 m span rectangular RF in plane is carried out,the results are compared between the numerical solutions from ANSYS software and the analytical solutions.The results show that the accura-cy of analytical solutions meets the requirements of initial structure design.