摘要
配合压杆稳定的教学演示实验现象,为从杆在轴向载荷作用下的杆横向振动的动力学建模出发,考虑杆的自重后,推导出杆的振型函数和频率表达式,最终根据振动频率不可能为负数这一基本常识推导出两端铰支杆的临界载荷表达式和欧拉公式具有相同表达式。解释了学生对材料力学教材中为何压杆临界载荷计算不计梁的自重的疑问。
To cooperating the demonstration experiment of stability of column,the dynamical model of the axial excited bar vibration is built.Considering the mass of the bar,the mode shape function and frequency expression is gained.Finally,the threshold force we got by the means of the frequency cannot be negative is same with that solved by Euler formula.The results show that the mass of the bar has no influence on the threshold force.
出处
《实验室科学》
2012年第6期64-66,共3页
Laboratory Science
关键词
压杆稳定
欧拉公式
临界载荷
stability of column
Euler formula
threshold force
