具局部黏滯阻尼平面構架之振動分析

Vibration Analysis of Planar Frame Structures with Locally Distributed Viscous Damping

蔡定江(Ting-Chiang Tsai) ； 吳家昇(Chia-Sheng Wu)

《中華民國振動與噪音工程學會論文集》 2008 (2008/05) Pp. 274-280

https://doi.org/10.30028/CSSVANNUAL.200805.0274

摘要

本文是探討平面構架具局部黏滯阻尼的振動特性。沿用Clough及Penzien對黏滯阻尼的定義，結合具內部黏滯阻尼的軸向運動方程式及Timoshenko樑的運動方程式，利用傳遞矩陣法(Transfer Matrix Method)配合座標轉換矩陣求得具有局部分佈阻尼平面構架系統時之自然頻率及振型。針對阻尼分佈的位置、長度及阻尼值的大小作動態特性分析，由結果顯示各項參數對自然頻率、振型及自由振動響應皆有影響。由本文方法作固定邊界等之振動特性的分析可以很方便的歸納出平面構架最佳的阻尼分佈位置，來達到抑制振動的效果。

關鍵字

平面構架 ； 黏滯阻尼 ； 傳遞矩陣法 ； 座標轉換矩陣

並列摘要

This study is discuss the vibrational characteristics of a planar frame structure with internal viscous damping. Based on conceive of Clough and Penzien, the equation of the axial effect are included is the Timoshenko beam which had been the internal viscous damping is derived. Using the transfer matrix method and rotation of coordinate matrix, the natural frequencies are determined as well as their corresponding mode shapes. The dynamics characteristic was analyzed by distributed location, length and value of the internal viscous damping. The results shows the every parameter was affected by natural frequencies、mode shape and the decay of the transient response. According to the analyze the vibration characteristics by fixed boundaries, its can easily determine the optimal allocation of the locally distributed damping of the planar frame structures to reduce the natural frequencies and decay of the transient response.

並列關鍵字

Planar frame structures ； internal viscous damping ； Transfer matrix method ； Rotation of coordinate matrix