屈曲梁Workbench仿真与试验分析

Workbench Simulation and Experimental Analysis of Buckling Beam

研究弹性直梁在受轴向力作用下大变形非线性屈曲分析的方法,并对两端固支的梁进行非线性屈曲分析与仿真实验。根据材料力学,当此弹性直梁所受轴向力大于某一临界值时,梁才会产生大变形,即成为后屈曲梁。直接建立了此后屈曲梁的数学模型,推导出梁受轴向力的理论公式,用椭圆积分法以MATLAB编程求解数学模型,得出其非线性屈曲特征曲线。在Ansys Workbench中建立相对应的模型,添加相应的边界条件,对其进行非线性屈曲分析。通过实验与理论计算和仿真数据进行对比,验证理论计算的正确性。并且发现随着轴向力的改变,弹性直梁的刚度也是可变的。而对梁屈曲等特性的分析研究,在减振、工业建筑领域方面的应用提供理论依据。

This paper studies the analysis method for nonlinear buckling of elastic straight beam under the action of axial force,and nonlinear buckling analysis and simulation experiment are carried out on the beam with clamped ends.According to the mechanics of materials,when axial force of elastic beam is greater than a critical value,it will produce large deformation, and become the post buckled beam. Firstly, a mathematical model of the buckling beam is established,and the theoretical formula of the axially loaded beam is derived,the mathematical model is solved by using the elliptic integral method in MATLAB, and the nonlinear buckling characteristic curve is obtained. Then, a corresponding model is established in Ansys Workbench,and the corresponding boundary conditions are added to the nonlinear buckling analysis of the model. Finally,by comparing the experimental results with the theoretical calculation and simulation data,the correctness of the theoretical calculation is verified. And it is found that with the change of axial force,the stiffness of the elastic straight beam is also variable. And the analysis of beam buckling characteristics provides a theoretical basis for vibration and industrial building.