基于实体数值计算结果的梁柱内力计算方法研究

Internal Force Calculation Method for Beams and Columns Based on Solid Numerical Calculation Results

实体单元是有限元、有限差分等连续数值模拟常用的单元形式,其计算结果通常为应力、变形、塑性区等。而工程结构通常是根据弯矩、轴力、剪力等内力进行配筋,这导致实体单元计算结果不能直接用于配筋设计。基于截面应力与内力转换原理,通过单元边界的线性插值法求出各截面点的应力,将截面网格按截面点数目平分,以此作为截面点应力的作用区域计算截面点的内力,计算出整个截面的轴力、剪力和弯矩等内力值。以AutoCAD作为内力计算结果显示平台,编制了将实体应力计算结果转化为内力图的程序,并采用简单模型进行了程序验证,将之应用于某工程梁柱的配筋设计。研究成果可为基于实体单元数值计算结果配筋分析提供参考。

Solid elements are commonly used for continuous numerical simulations such as finite element and finite difference.The calculation results typically include stress,deformation,and plastic zones.However,these results cannot be directly used for reinforcement design of engineering structures,which are usually reinforced based on internal forces such as bending moment,axial force,and shear force.To address this,we propose a method to calculate the stress of each cross-section point using the linear interpolation method of element edges.The cross-section mesh is divided evenly based on the number of cross-section points,and the divided mesh is considered as the action area of the cross-section point stress to calculate the internal force.Additionally,we calculate the internal force values,including axial force,shear force,and bending moment,for the entire section.We utilize AutoCAD as the result display platform to develop a program that converts the calculation results of solid stress into an internal force diagram.We validate the program using a simple model and apply it to the reinforcement design of specific engineering beams and columns.The research results can serve as a reference for reinforcement analysis based on solid element numerical calculations.