带阻尼失谐周期多跨连续梁的振动局部化问题

利用传递矩阵法分析研究了带阻尼失谐周期多跨梁中的振动局部化现象，将阻尼和失谐对于近周期结构的动力性能的影响进行了比较，并分析了两者同时存在时引起的综合效应与它们各自的影响之间的关系．结果表明：在无阻尼周期结构中处于“通频”范围内的振动能够传遍整个结构而不会发生衰减，但当结构中存在阻尼或失谐时，同样的振动在传播过程中将会发生指数衰减．

Vibration Localization in Disordered Periodic Multi-Span Beams with Damping

There are many practical applications of periodic multi-span beams in engineering. It is very important to analyze the propagation of vibrations in disordered periodic structures. Since there exists damping in practical structures, vibration localization in disordered continuous beams with damping is presented in this paper by using transfer matrix method. The results show that both harmonic waves and normal modes of vibration that extend throughout the ordered, undamped beams become spatially attenuated if either small damping or small disorder is introduced in the system. The effects of disorder and/or damping on the dynamics of the periodic multi-span beams are also discussed in detail.