A reduced order finite element - trsnsfer matrix method for flexible rotary system

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Title:	A reduced order finite element - trsnsfer matrix method for flexible rotary system
Other Titles:	撓性旋轉軸之降階有限元素-傳遞矩陣法
Authors:	Tyan, feng;Huang, Shu ting;Tu, Shun-hsu
Contributors:	淡江大學航空太空工程學系
Keywords:	撓性軸;有限元素法;傳遞矩陣法;Flexible rotor;Finite element method;Transfer matrix method
Date:	2006-03
Issue Date:	2014-07-31 17:20:27 (UTC+8)
Publisher:	臺北縣淡水鎮 : 淡江大學
Abstract:	本文主要目的在於使用有限元素與降階傳遞矩陣法來分析撓性旋轉軸。此方法的優點在於計算過程中所用來計算撓性旋轉軸振動頻率的矩陣其最大維度僅有四乘四，成功地減少計算機記憶體的使用。此外，在建立撓性旋轉系統運動方程時，考慮了轉動慣性力矩、迴轉力要巨效應與剪應力與應變的效應。當撓性旋轉系統複雜性提高、所使用的節點數增加時，有限元素與降階傳遞矩陣法仍然保有了與傳統有限元素法相同之精確度，並且計算機之記憶體的使用並不會隨著系統複雜性而增加。 In this work, Laplace transform is implemented to develop a reduced order finite element - transfer matrix method for analyzing a rotating flexible shaft. The advantage of the proposed method is that the largest size of the matrices involved in computing the critical speed of rotating shaft is only four by four, which reduces the memory requirement significantly. In addition, the effects of shear deformation, rotary inertia, gyroscopic moments and shear strain are all taken into account as well. The accuracy of the obtained results from this method is as high as that of traditional fi nite element method, which however inevitably demands computer memory intensively for increasing number of nodes.
Relation:	第五屆海峽兩岸航空太空學術研討會論文集，頁249-257
Appears in Collections:	[Graduate Institute & Department of Aerospace Engineering] Proceeding

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