具阻尼竖直悬挂软绳的横振动问题研究  

Stuay on the Lateral Vibration of Suspended Flexible Cable with Damping

作　　者：额尔敦仓[1] 

机构地区：[1]内蒙古民族大学物理与电子信息学院,内蒙古通辽028043

出　　处：《内蒙古民族大学学报（自然科学版）》2014年第5期501-503,共3页Journal of Inner Mongolia Minzu University：Natural Sciences

基　　金：内蒙古民族大学科研创新团队建设计划项目

摘　　要：建立了描述竖直悬挂软绳受到空气阻力和重力作用而在竖直平面内作微小横振动的数学模型.用一种简单的假设方法研究该定解问题,得到了满足给定边界条件和初始条件的精确解析解.接着用实验方法研究该问题,并把实验结果与理论结果进行了比较.The mathematical model describes the small lateral vibration of a suspended flexible cable, which affected by air resistance and gravity is established. The exact analytical solution of the model, which satisfies the given bound-ary conditions and initial conditions is obtained by using a simple hypothesis method. Next the problem is studied by experimental method and the results are compared with the theoretical results.

关 键 词：软绳 横振动 精确解 实验研究 

分 类 号：O421.5[理学—声学]