摘要
采用波动分析法研究了纵向弹性波在两半无限梁耦合点的传播。应用梁的一维波动方程 ,耦合点模拟为质量弹簧系统 ,根据耦合点的连续条件和平衡条件 ,计算得到了纵向波传输至耦合点的振动功率传播效率和反射效率。传播效率和反射效率确定为梁纵向波阻抗和耦合点阻抗的函数 ,分析了梁纵向波阻抗和耦合点阻抗对纵向波传播效率和反射效率的影响。研究表明通过合理的选择激励梁、耦合梁和耦合点阻抗之间的匹配关系 ,可有效控制耦合点的纵向波传播。本研究对于振动控制和结构优化设计具有重要的意义。
The longitudinal elastic wave transmission through a coupling joint of two collinear semi-infinite beam structures is investigated by using wave theory approach. The joint is modeled as mass-spring system. Values for the vibration transmission and reflection efficiency may be obtained by using the one-dimensional wave equation and the idealized transition conditions of equilibrium and continuity at the joint. The vibration transmission and reflection efficiency are determined as functions of longitudinal elastic wave impedance and joint impedance, and their effects on transmission and reflection efficiency are analyzed. The results show the longitudinal elastic wave transmission through a coupling joint can be controlled to some extent by choosing the suitable impedance matching conditions between beam and joint. This study enables one to properly use the correct vibration absorption and control technique, allowing systems to be designed for optimal power transmission.
出处
《振动与冲击》
EI
CSCD
北大核心
2004年第4期54-57,共4页
Journal of Vibration and Shock
