摘要
对弹簧振子系统运动的波动方程求解过程中出现的本征值方程，利用余切函数的幂级数展开式，运用迭代法求得其近似解表达式．由此导出将弹簧影响仅归于质量方面的有效质量表示式。
The expression of approxinmate solution of the eigenvalue equation separated from the wave equation of the spring-particle system is obtained by using the iteration and the power series expansion of the cotangent function.From the approximate solution the expression of the effcetive mass of the spring is reduced.The condition of approximately regarding the system's motion as simple harmonic viberation and the error are obtained by analysing the eigen viberation spectrum and the error.
出处
《河北师范大学学报（自然科学版）》
CAS
1997年第1期55-58,共4页
Journal of Hebei Normal University：Natural Science
关键词
弹簧振子
简谐振动
本征值方程
近似解
spring viberator
simple harmonic viberation
approximate solution of the eigenvalue equation
iteration
effective mass
error
