内蒙古民族大学学报(自然科学版)
內矇古民族大學學報(自然科學版)
내몽고민족대학학보(자연과학판)
JOURNAL OF INNER MONGOLIA UNIVERSITY FOR NATIONALITIES(NATURAL SCIENCES)
2014年
5期
501-503
,共3页
软绳%横振动%精确解%实验研究
軟繩%橫振動%精確解%實驗研究
연승%횡진동%정학해%실험연구
Flexible cable%Lateral vibration%Exact solution%Experimental study
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。
建立瞭描述豎直懸掛軟繩受到空氣阻力和重力作用而在豎直平麵內作微小橫振動的數學模型。用一種簡單的假設方法研究該定解問題,得到瞭滿足給定邊界條件和初始條件的精確解析解。接著用實驗方法研究該問題,併把實驗結果與理論結果進行瞭比較。
건립료묘술수직현괘연승수도공기조력화중력작용이재수직평면내작미소횡진동적수학모형。용일충간단적가설방법연구해정해문제,득도료만족급정변계조건화초시조건적정학해석해。접착용실험방법연구해문제,병파실험결과여이론결과진행료비교。
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.