利用线积分求解无界弦振动方程

本文给出求解无界弦振动方程的一种分析方法,阐述了对于无界弦自由振动的柯西问题、无界弦强迫振动的柯西问题以及半无界弦自由振动的混合问题等无界弦振动问题均可在运用特征线方法的基础上利用线积分予以求解。

SOLVING UNBOUNDED STRING VIBRATION EQUATION BY MEANS OF LINE INTEGRALS

The author gives an analysis method to solve unbounded string vibration equation,explains the Cauchy broblem of unbounded string free vibration,the Cauchy broblem of unbounded string forced vibra- tion,and the mixed broblem of semi—unbounded string free Vibration. All the broblems above are solved by line integrals on the basis of characteristic line method.