基于達朗貝爾公式對一端固定一端作受迫振動的有界弦振動問題的求解
發(fā)布時間：2018-09-16 21:10
【摘要】：通過延拓為奇函數(shù)和恰當?shù)暮瘮?shù)兩種方式對弦的兩端點進行延拓,運用達朗貝爾公式解決了一端固定,另一端作受迫振動Asin ωt的有界弦振動的定解問題,通過計算結(jié)果表達式直接得出了描述有界弦振動運動的物理量,直觀分析出弦振動的運動過程.同時對該問題進行了拓展,運用行波法解決了一端為齊次的第一類或第二類邊界條件另一端為非齊次邊界條件的定解問題.
[Abstract]:By extending the two ends of the string into odd function and proper function, the problem of definite solution of bounded string vibration with forced vibration Asin 蠅 t at one end and the other end is solved by using the D'Alembert formula. Through the expression of calculation results, the physical quantities describing the bounded string vibration are obtained directly, and the motion process of the string vibration is analyzed intuitively. At the same time, the problem is extended, and the traveling wave method is used to solve the problem of definite solution of the first or second type boundary conditions with one end being homogeneous or the other end being non-homogeneous boundary conditions.
【作者單位】： 山東大學物理學院;
【分類號】：O321
，
本文編號：2244809
[Abstract]:By extending the two ends of the string into odd function and proper function, the problem of definite solution of bounded string vibration with forced vibration Asin 蠅 t at one end and the other end is solved by using the D'Alembert formula. Through the expression of calculation results, the physical quantities describing the bounded string vibration are obtained directly, and the motion process of the string vibration is analyzed intuitively. At the same time, the problem is extended, and the traveling wave method is used to solve the problem of definite solution of the first or second type boundary conditions with one end being homogeneous or the other end being non-homogeneous boundary conditions.
【作者單位】： 山東大學物理學院;
【分類號】：O321
，
本文編號：2244809
本文鏈接：http://www.sikaile.net/kejilunwen/lxlw/2244809.html
最近更新
教材專著
