Free vibration analysis of shafts on resilient bearings using Timoshenko beam theory

被引:8
作者
Karunendiran, S [1 ]
Zu, JW [1 ]
机构
[1] Univ Toronto, Dept Mech & Ind Engn, Toronto, ON M5S 3G8, Canada
来源
JOURNAL OF VIBRATION AND ACOUSTICS-TRANSACTIONS OF THE ASME | 1999年 / 121卷 / 02期
关键词
D O I
10.1115/1.2893973
中图分类号
O42 [声学];
学科分类号
070206 ; 082403 ;
摘要
This paper presents an analytical method adopted for the free vibration analysis of a shaft, both ends of which are supported by resilient bearings. The shaft is modeled by Timoshenko beam theory. Based on this model exact frequency equation to calculate complex eigenvalues is derived and presented in complex compact form for the first time. Explicit expressions to compute the corresponding mode shapes are also presented.
引用
收藏
页码:256 / 258
页数:3
相关论文
共 5 条
[1]  
[Anonymous], 1961, FLEXURAL VIBRATIONS
[2]   MODAL-ANALYSIS OF CONTINUOUS ROTOR-BEARING SYSTEMS [J].
LEE, CW ;
JEI, YG .
JOURNAL OF SOUND AND VIBRATION, 1988, 126 (02) :345-361
[3]   MODAL-ANALYSIS OF A DISTRIBUTED PARAMETER ROTATING SHAFT [J].
LEE, CW ;
KATZ, R ;
ULSOY, AG ;
SCOTT, RA .
JOURNAL OF SOUND AND VIBRATION, 1988, 122 (01) :119-130
[4]  
LUND JW, 1974, ASME, V96, P509
[5]   NATURAL FREQUENCIES AND NORMAL-MODES OF A SPINNING TIMOSHENKO BEAM WITH GENERAL BOUNDARY-CONDITIONS [J].
ZU, JWZ ;
HAN, RPS .
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1992, 59 (02) :S197-S204