Free Vibrations of Systems of Beams Connected by Multi-spring-masses

雙樑與多彈簧質量系統之動態分析

林海平(Hai-Ping Lin)

《中華民國振動與噪音工程學會論文集》 2013 (2013/06) Pp. 198-204

摘要

本文處理雙樑與多組彈簧質量組合系統之動態分析，分析時將兩個各別樑視為多段之Euler-Bernoulli樑，考量到樑在彈簧接合處之接續性，則可得知相鄰兩段Euler-Bernoulli樑之相關性。再利用轉移矩陣法（transfer matrix method），可計算整系統之特徵解（eigensolutions）。本文並附一實驗與分析計算結果之比較。

關鍵字

樑結構 ； 彈簧質量裝置 ； 特徵解 ； 轉移矩陣法 ； 自然頻率 ； 自然振型

並列摘要

This paper deals with the transverse free vibrations of a system on which two beams are coupled with multiple spring-mass devices. The entire system is modeled as two multi-span beams and each span of the continuous beams is assumed to obey the Euler-Bernoulli beam theory. Considering the compatibility requirements across each spring connection positions, the relationships between these two segments can be obtained. By using a transfer matrix method, eigensolutions of the entire system can then be determined. Some numerical results and experimental validations are presented to demonstrate method proposed in this article.

並列關鍵字

beam structures ； spring-mass device ； eigensolutions ； transfer matrix ； natural frequencies ； mode shapes