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对弦振动方程与薄膜振动方程的探讨
引用本文:孙逊,张仁杰.对弦振动方程与薄膜振动方程的探讨[J].数学的实践与认识,2010,40(17).
作者姓名:孙逊  张仁杰
摘    要:为了提高振弦式产品和振膜式产品的技术指标,基于微小横振动中张力不相等的概念,把张力角度增量与角度之比作为变量,提出了对弦振动和薄膜振动方程进行修正的方法,修正方程对产品研发有指导意义.

关 键 词:振动方程    薄膜  张力

Study on Vibrating String Equation and Vibrating Thin Film Equation
SUN Xun,ZHANG Ren-jie.Study on Vibrating String Equation and Vibrating Thin Film Equation[J].Mathematics in Practice and Theory,2010,40(17).
Authors:SUN Xun  ZHANG Ren-jie
Abstract:In this paper,the correction methods for vibrating string equation and vibrating thin film equation are presented in order to improve the technical parameters of vibration string product and vibration film product.The tension varying and the ratio of tension angle increment to angle are introduced into transverse vibration equations.The correction equation obtained is of guiding significance for the products development.
Keywords:vibration equation  string  thin film  tension
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