不同結構的預扭平行六面體之三維振動分析

Three Dimensional Vibrations of Pretwisted Parallelepipeds with Various Configurations

陳為仁(W. R. Chen) ； 林智堅(C. C. Lin) ； 杜冠賢(K. H. Du)

《華岡工程學報》 24期 (2009/06) Pp. 123-131

https://doi.org/10.29987/CCUHKJE.200906.0016

摘要

本文利用整合參數式實體建模及有限元素分析之方法，以從三維的角度探討並分析不同長／寬比、寬／厚比及扭角對預扭平行六面體的共振頻率與振動模態的影響效應。分析結果顯示長／寬比與寬／厚比顯著地影響振動模態出現的順序及可能性，而扭角僅影響振動模態出現的順序。就不同幾何構造的預扭平行六面體而言，共振頻率受扭角影響最顯著的模態係不同的，且該頻率可能會隨扭角增大而遞增或遞減。

關鍵字

參數式實體 ； 限元素分析 ； 預扭平行六面體 ； 共振頻率 ； 振動模態

並列摘要

An analytical method integrating the parametric solid modeling and finite element analysis is employed to study the three dimensional vibrations of cantilevered twisted parallelepipeds with various configurations. The effects of different geometric parameters on the natural frequencies and vibration modes have been investigated and discussed. The results show that the length/depth and depth/thickness ratio affect significantly the order and possibility of vibration modes to appear, but the twisted angle merely influences the order. The natural frequency of each vibration mode is affected differently by the increasing twisted angle for twisted parallelepipeds with different length/depth and depth/thickness ratio.

並列關鍵字

parametric solid ； finite element analysis ； twisted parallelepipeds ； natural frequencies ； vibration modes