由频谱数据构造两端铰支梁的差分离散系统

CONSTRUCTION OF THE DIFFERENCE DISCRETE SYSTEM FOR THE SIMPLE-SUPPORT BEAM FORM THE SPECTRA DATA

摘要: 本文讨论了两端铰支梁的差分离散系统固有横振动的若干定性性质,证明了左端铰支,右端反共振、铰支、固支这三种梁的频谱的相间性。据此给出了由三组严格相间的频谱数据构造简支梁差分离散系统物理参数的算法和算例,并讨论了逆问题解存在的充要条件。

Abstract: In this paper some qualitative properties of the simple-support beam in vibration was discussed. On the basis of this work, the algorithm and examples of the reconstruction of the simple-support beam cross-section parameters from the spectra data was given.