关于重物对简支梁冲击问题的讨论  

Discussion on Impact of a Weight on Simply Supported Beam

作　　者：吴晓[1] Wu Xiao(College of Mechanical Engineering, Hunan University of Arts and Science, Changde 415000, Hunan,China)

机构地区：[1]湖南文理学院机械工程学院,湖南常德415000

出　　处：《工程与试验》2018年第4期1-3,49,共4页Engineering and Test

摘　　要：建立了简支梁受冲击时的振动控制方程,利用重物对梁冲击的运动方程把简支梁的振动控制方程简化,再利用Galerkin原理可求得简支梁的动应力计算公式。研究结果表明,当重物质量小于梁的质量时,该动应力计算公式的计算结果与试验结果比较吻合;重物质量大于梁的质量时,能量法的计算结果比较接近试验结果。The vibration control equation of the impacted beam is established.Using the motion equation of the beam impacted by a weight,the vibration control equation of the simply supported beam is simplified,and using Galerkin principle,the dynamic stress calculation formula of the simply supported beam can be obtained.The research results show that these calculation results are consistent with the experimental results when the quality of a weight is smaller than that of the beam,and the calculation results based on the energy method are close to the experimental results when the quality of a weight is greater than that of the beam.

关 键 词：简支梁 冲击 GALERKIN原理 动应力 计算公式 

分 类 号：O347.1[理学—固体力学]