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

• Published in: Applied mathematics and mechanics Vol. 40; no. 8; pp. 1053 - 1082
• Main Authors: Zeng, Jin, Ma, Hui, Yu, Kun, Xu, Zhitao, Wen, Bangchun
• Format: Journal Article
• Language: English
• Published: Shanghai Shanghai University 01.08.2019; Springer Nature B.V; School of Mechanical Engineering and Automation, Northeastern University,Shenyang 110819, China%School of Mechanical Engineering and Automation, Northeastern University,Shenyang 110819, China; Key Laboratory of Vibration and Control of Aero-Propulsion System Ministry of Education, Northeastern University, Shenyang 110819, China
• Edition: English ed.
• Subjects: Applications of Mathematics; Cantilever beams; Classical Mechanics; Excitation; Finite element method; Fluid- and Aerodynamics; Hamilton's principle; Mathematical Modeling and Industrial Mathematics; Mathematics; Mathematics and Statistics; Partial Differential Equations; Rotation; Torsion; Torsional vibration; modal characteristic; flapwise-chordwise-axial-torsional; 65L15; 74S05; rotating Timoshenko beam; vibration response; 7; base excitation; O347.6; V214.3; 70J35

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...