摘要
本文论述了振动中的二阶连续系统(诸如非均匀杆的纵振动、非均匀轴的扭转振动、非均匀弦的横振动)的离散模型固有频率和振型的如下定性性质:频率的分离性;位移振型和内力振型的节点分布规律;位移振型的充分必要条件等。
This paper is concerned with some qualitative properties of the natural frequencies and modes of the discrite systems for some continuous second-order systems:slender non-uniform rods in longitudinal and torsional vibration; taut, non-uniform string. These properties include the distinctness of frequancies, interlacing of frequencies corresponding to different end conditions, number of node of modes, interlacing of nodes corres ponding tuo adjacent modes, the patterns of modes, etc.
出处
《振动与冲击》
EI
CSCD
北大核心
1992年第3期7-12,共6页
Journal of Vibration and Shock
基金
高等学校博士学科点专项科研基金