摘要
通过提出一种变换 ,将两端系有不同集中质量的弹性杆的振动问题的边界条件化为第三类边条件 ,其本征值问题为规范的斯特姆 -刘维本征值问题 ,本征函数系 {Xn(x) }为正交完备的函数系 .最后 ,给出了该问题的解析解 .
This paper puts forward a change in the boundary condition of oscillation problem on elastic rod which has different central mass on the two ends to the boundary condition of third class by presenting a transformation. The eigen value problem is normative sturm-livouville eigen value problem. The eigen functions {X\-n(x)} are orthogonal and an analytic solution is given at the end of this paper.
出处
《福州大学学报（自然科学版）》
CAS
CSCD
2001年第1期16-19,共4页
Journal of Fuzhou University(Natural Science Edition)
基金
福建省教委基金!资助项目 (JB980 0 7)
