摘要
讨论了半无限长弦的自由振动问题和强迫振动问题,在牛顿定律的基础上建立了弦振动方程并进行了求解;结果表明强迫振动下各质点的振动位移与时间的关系要复杂得多,它不仅与边界点x=0处的振动有关,还与力密度有直接的关系.
This paper discusses free vibration and forced vibration of half infinite long string, sets up string vibration equation on the basis of Newton Law and tries to solve the equation. The results show that the relation between the time and the vibration displacement of each particle under the forced vibration is much more complex, and that the vibration displacement is not only related to the vibration at the boundary point x = 0 but also is directly related to force density.
出处
《重庆工商大学学报（自然科学版）》
2016年第1期47-51,共5页
Journal of Chongqing Technology and Business University:Natural Science Edition
基金
国家自然科学基金资助(61102002)
关键词
弦振动方程
定解问题
达朗贝尔公式
延拓
string vibration equation
definite solution problem
d＇ Alembert forInula
extension
