Coupled flapwise-chordwise-axial-torsional dynamic responses of rotating pre-twisted and inclined cantilever beams subject to the base excitation

doi:10.1007/s10483-019-2506-6

Applied Mathematics and Mechanics (English Edition) ›› 2019, Vol. 40 ›› Issue (8): 1053-1082.doi: https://doi.org/10.1007/s10483-019-2506-6

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Coupled flapwise-chordwise-axial-torsional dynamic responses of rotating pre-twisted and inclined cantilever beams subject to the base excitation

Jin ZENG¹, Hui MA^1,2, Kun YU¹, Zhitao XU¹, Bangchun WEN¹

1. School of Mechanical Engineering and Automation, Northeastern University, Shenyang 110819, China;
2. Key Laboratory of Vibration and Control of Aero-Propulsion System Ministry of Education, Northeastern University, Shenyang 110819, China

收稿日期:2018-11-09 修回日期:2019-03-02 出版日期:2019-08-01 发布日期:2019-08-01
通讯作者: Hui MA E-mail:huima@me.neu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (No. 11772089), the Fundamental Research Funds for the Central Universities of China (Nos. N170308028 and N170306004), the Program for the Innovative Talents of Higher Learning Institutions of Liaoning of China (No. LR2017035), and the Liaoning Revitalization Talents Program of China (No. XLYC1807008)

Coupled flapwise-chordwise-axial-torsional dynamic responses of rotating pre-twisted and inclined cantilever beams subject to the base excitation

Jin ZENG¹, Hui MA^1,2, Kun YU¹, Zhitao XU¹, Bangchun WEN¹

1. School of Mechanical Engineering and Automation, Northeastern University, Shenyang 110819, China;
2. Key Laboratory of Vibration and Control of Aero-Propulsion System Ministry of Education, Northeastern University, Shenyang 110819, China

Received:2018-11-09 Revised:2019-03-02 Online:2019-08-01 Published:2019-08-01
Contact: Hui MA E-mail:huima@me.neu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (No. 11772089), the Fundamental Research Funds for the Central Universities of China (Nos. N170308028 and N170306004), the Program for the Innovative Talents of Higher Learning Institutions of Liaoning of China (No. LR2017035), and the Liaoning Revitalization Talents Program of China (No. XLYC1807008)

摘要/Abstract

摘要：

A rotating pre-twisted and inclined cantilever beam model (RPICBM) with the flapwise-chordwise-axial-torsional coupling is established with the Hamilton principle and the finite element (FE) method. The effectiveness of the model is verified via comparisons with the literatures and the FE models in ANSYS. The effects of the setting and pre-twisted angles on the dynamic responses of the RPICBM are analyzed. The results show that:(i) the increase in the setting or pre-twisted angle results in the increases in the first-order flapwise and torsional frequencies while the decrease in the first-order chordwise frequency under rotating conditions; (ii) a positive/negative setting angle leads to a positive/negative constant component, while a positive/negative pre-twisted angle leads to a negative/positive constant component; (iii) when the rotation speed is non-zero, the pre-twisted angle or non-zero setting angle will result in the coupled flapwise-chordwiseaxial-torsional vibration of the RPICBM under axial base excitation.

关键词: modal characteristic, vibration response, flapwise-chordwise-axial-torsional, base excitation, rotating Timoshenko beam

Abstract:

Key words: modal characteristic, vibration response, flapwise-chordwise-axial-torsional, base excitation, rotating Timoshenko beam

中图分类号:

Jin ZENG, Hui MA, Kun YU, Zhitao XU, Bangchun WEN. Coupled flapwise-chordwise-axial-torsional dynamic responses of rotating pre-twisted and inclined cantilever beams subject to the base excitation[J]. Applied Mathematics and Mechanics (English Edition), 2019, 40(8): 1053-1082.

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Coupled flapwise-chordwise-axial-torsional dynamic responses of rotating pre-twisted and inclined cantilever beams subject to the base excitation

Coupled flapwise-chordwise-axial-torsional dynamic responses of rotating pre-twisted and inclined cantilever beams subject to the base excitation

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[2]	肖世富;陈滨. MODELING AND BIFURCATION ANALYSIS OF THE CENTRE RIGID-BODY MOUNTED ON AN EXTERNAL TIMOSHENKO BEAM[J]. Applied Mathematics and Mechanics (English Edition), 1999, 20(12): 1389-1393.