压杆稳定实验装置在“理论+实验”课程中混合式教学研究

The Pressure Rod Stability Experimental Device of Blended Teaching in the "Theory + Experiment" Course

介绍了压杆稳定实验装置,在实验教学中通过该实验装置测出了压杆的欧拉临界载荷。然后,从能量法出发,借助傅里叶三角级数,研究以正弦函数为基本函数组成的复杂函数作为满足边界条件的常用挠曲线函数,求两端铰支的等截面压杆稳定的临界荷载,从能量法的角度验算欧拉临界力。将压杆稳定实验装置与课堂教学中利用傅里叶三角级数推导临界载荷的应用相结合,讨论了压杆稳定的欧拉临界载荷。

The experimental device for stabilizing the compression bar was introduced in this paper,through which the Euler critical load of the compression bar was measured in experimental teaching.Then,starting from the energy method,with the help of Fourier trigonometric series,this paper studied the complex function composed of sine function as the basic function as the common deflection function satisfying the boundary conditions.The critical load for the stability of a uniform cross-section compression bar with hinged supports at both ends was solved.The Euler critical force from perspective of energy method was calculated.The Euler critical load of pressure bar stability was discussed by combining the experimental device of pressure bar stability with the application of Fourier trigonometric series to derive critical load in classroom teaching.