自由梁结构动力学分析  

Dynamic Analysis of a Free Beam

作　　者：韩广才 李政达[2] 

机构地区：[1]哈尔滨工程大学航天与建筑工程学院,黑龙江哈尔滨150001 [2]佳木斯大学理学院,黑龙江佳木斯154007

出　　处：《佳木斯大学学报（自然科学版）》2016年第4期509-511,共3页Journal of Jiamusi University：Natural Science Edition

摘　　要：研究了集中质量大小及在自由梁上分布位置对自由梁结构模态及频率的影响,应用集中质量法给出了自由梁的动态挠度曲线及频率,并用最小二乘法进行了函数拟合,应用拉格朗日法建立了自由梁结构的动力学方程,文中所建立的方程对工程中可简化为自由梁模型进行研究的结构具有一定的理论意义及应用价值。In this paper, the effect of magnitude and position of mass on modal and frequency of freebeam is studied. Method of concentrated mass is used to give dynamic bending curves and frequency. Least square method is used to give function fitting of the bending curves. The dynamic equations of free beam are given by Lagrange method. The equations in this paper have certain theoretical significance and application value on structure which can be simplified as the model of a free beam in engineering.

关 键 词：动态挠度曲线 自由梁 频率 

分 类 号：O316[理学—一般力学与力学基础]