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Frequency Veering of Rotating Metal Porous Twisted Plate with Cantilever Boundary Using Shell Theory

作     者:Y.Y.Liu Y.X.Hao W.Zhang L.T.Liu S.W.Yang Y.T.Cao 

作者机构:College of Mechanical EngineeringBeijing Information Science and Technology UniversityBeijing 100192China College of Mechanical EngineeringBeijing University of TechnologyBeijing 100124China 

出 版 物:《Acta Mechanica Solida Sinica》 (固体力学学报(英文版))

年 卷 期:2022年第35卷第2期

页      面:282-302页

核心收录:

学科分类:08[工学] 0805[工学-材料科学与工程(可授工学、理学学位)] 0802[工学-机械工程] 0701[理学-数学] 0801[工学-力学(可授工学、理学学位)] 080102[工学-固体力学] 0702[理学-物理学] 

基  金:The authors acknowledge the financial support of National Natural Science Foundation of China(grant nos.11872127,11832002,and 11732005) the Qin Xin Talents Cultivation Program,Beijing Information Science&Technology University(QXTCP A201901) the Project of High-level Innovative Team Building Plan for Beijing Municipal Colleges and Universities(No.IDHT20180513). 

主  题:Frequency veering Rotating twisted plate Cantilever boundary Metal porous 

摘      要:The frequency veering of a metal porous rotating cantilever twisted plate with twist angle and stagger angle is investigated.Metal porous materials may have the characteristics of gradient or uniform distribution along the thickness direction.Based on the classical shell theory,considering the influence of centrifugal force produced by high-speed rotation,the free vibration equations of a rotating cantilever twisted plate are derived.Through the polynomial function and Rayleigh-Ritz method,the natural frequencies and mode shapes of the metal porous cantilever twisted plate in both static and rotating states are derived.The accuracy of the present theory and calculation results is confirmed by a comparison between them and the results available from the literature and those obtained from Abaqus.The influences of the thickness ratio,porosity,twist angle,stagger angle and rotational velocity on the frequency veering and mode shape shift of the rotating cantilever twisted plate with porous material under three different distributions are analyzed.It should be mentioned that the frequency veering accompanied by mode shape shift occurs in both static and dynamic states.

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