基于达朗贝尔公式对一端固定一端作受迫振动的有界弦振动问题的求解
发布时间：2018-09-16 21:10
【摘要】：通过延拓为奇函数和恰当的函数两种方式对弦的两端点进行延拓,运用达朗贝尔公式解决了一端固定,另一端作受迫振动Asin ωt的有界弦振动的定解问题,通过计算结果表达式直接得出了描述有界弦振动运动的物理量,直观分析出弦振动的运动过程.同时对该问题进行了拓展,运用行波法解决了一端为齐次的第一类或第二类边界条件另一端为非齐次边界条件的定解问题.
[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.
【作者单位】： 山东大学物理学院;
【分类号】：O321
，
本文编号：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.
【作者单位】： 山东大学物理学院;
【分类号】：O321
，
本文编号：2244809
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