噪声与振动控制2016，Vol.36Issue(4)：24-26,3.DOI:10.3969/j.issn.1006-1335.2016.04.005
有限长周期参数梁的动力学特性
Dynamic Characteristics of Finite-length Periodic Parameter Beams
摘要
Abstract
The dynamic characteristics of finite-length periodic parameter beams are studied. The differential equation of motion of the periodic parameter beams is presented, and the partial differential equation with spatial varying parameters for the periodic-height beam is obtained. Then, the equation is converted into a multi-DOF state equation using Galerkin method, and a set of algebraic equations for natural frequencies of the periodic beam is obtained. Numerical results are given. The influence of the number of series expansion terms of the displacement on the natural frequencies and dynamic characteristics of the beam is analyzed. Variation of the natural frequencies with the change of the frequency and amplitude of the periodic parameter, degeneration of the band gaps among the natural frequencies, and the bending waves scattering are analyzed in the case of large periodic parameter frequencies.关键词
振动与波/动力学特性/有限长梁/周期参数Key words
vibration and wave/dynamic characteristics/finite-length beam/periodic parameter分类
数理科学引用本文复制引用
张巍,应祖光..有限长周期参数梁的动力学特性[J].噪声与振动控制,2016,36(4):24-26,3.基金项目
国家自然科学基金资助项目（11572279）；浙江省自然科学基金资助项目 （）
