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Flutter analysis of rotating beams with elastic restraints

Applied Mathematics and Mechanics(English Edition) 2022年第5期43卷 761-776页

作者： Lüsen WANG Zhu SU Lifeng WANG State Key Laboratory of Mechanics and Control of Mechanical Structures Nanjing University of Aeronautics and AstronauticsNanjing 210016China

The aeroelastic stability of rotating beams with elastic restraints is *** coupled bending-torsional Euler-Bernoulli beam and Timoshenko beam models are adopted for the structural *** Greenberg aerodynamic model is used to describe the unsteady aerodynamic *** additional centrifugal stiffness effect and elastic boundary conditions are considered in the form of potential energy.A modified Fourier series method is used to assume the displacement field function and solve the governing *** convergence and accuracy of the method are verified by comparison of numerical ***,the flutter analysis of the rotating beam structure is carried out,and the critical rotational velocity of the flutter is *** results show that the elastic boundary reduces the critical flutter velocity of the rotating beam,and the elastic range of torsional spring is larger than the elastic range of linear spring.

关键词： rotating beam modified Fourier series method elastic restraint flutter

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Nonlinear coupling modeling and dynamics analysis of rotating flexible beams with stretching deformation effect

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Applied Mathematics and Mechanics(English Edition) 2023年第1期44卷 125-140页

作者： Xiaokang DU Yuanzhao CHEN Jing ZHANG Xian GUO Liang LI Dingguo ZHANG School of Science Nanjing University of Science and TechnologyNanjing 210094China School of Mechanical and Automotive Engineering Guangxi University of Science and TechnologyLiuzhou 545006Guangxi ProvinceChina

Dynamic coupling modeling and analysis of rotating beams based on the nonlinear Green-Lagrangian strain are introduced in this *** the reservation of the axial nonlinear strain,there are more coupling terms for axial and transverse *** discretized dynamic governing equations are obtained by using the finite element method and Lagrange’s equations of the second *** responses are conducted to compare the proposed model with other previous *** stretching deformation due to rotating motion is observed and calculated by special formulations under dynamic *** stretching deformation and the change of the associated equilibrium position are taken into account to analyze the free vibration and frequency response of the rotating *** and numerical comparisons show that the proposed model can provide reliable results,while the previous models may lead to imprecise results,especially in high-speed conditions.

关键词： rotating beam finite element method stiffening effect stretching deformation dynamic equilibrium

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