Energetics and Invariants of Axially Deploying Beam with Uniform Velocity

Yang, Xiao‐Dong; Zhang, Wei; Melnik, Roderick

doi:10.2514/1.j054383

Cited by 22 publications

(3 citation statements)

References 43 publications

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“…This study was then continued to investigate the dynamic behavior of a 2-DOF telescopic mechanism (Sui et al, 2016b). Yang et al (2016) studied the energetics and invariants of the deploying beam with given initial conditions by the assumed-mode method. It was concluded that when the beam is being deployed with constant speed, the adiabatic invariant may be kept constant.…”

Section: Introductionmentioning

confidence: 99%

Parametric study on the dynamic aeroelastic analysis of a two-stage axially deploying telescopic wing

Barzani

Shahverdi

Amoozgar

2022

Journal of Vibration and Control

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In this paper, the flutter instability of a conventional two-stage axially moving telescopic UAV wing is investigated. To this aim, and to be as close as possible to the reality, the effects of temporal variation of mass and length, due to the movement of stages and their overlapping, along with the effects of morphing speed are considered for the first time. The bending-torsional dynamics of the two-stage wing is modeled by modifying the Euler–Bernoulli beam theory to take into account the effects of morphing speed and variations of mass and length. Furthermore, the aerodynamic loads are simulated using Peters' unsteady aerodynamic model. The governing aeroelastic equations are discretized using a finite element approach, and a length-based stability analysis is proposed to investigate the aeroelasticity of the wing. The obtained results are compared with those available in the literature, and a good agreement is observed. It is found that the aeroelastic stability of a telescopic wing is more sensitive to the fixed part parameters than the moving part. Also, it is shown that the wing critical length is sensitive to the morphing speed. Therefore, by selecting the telescopic wing morphing parameters properly, the aeroelastic stability of the system can significantly be improved.

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Section: Introductionmentioning

confidence: 99%

Parametric study on the dynamic aeroelastic analysis of a two-stage axially deploying telescopic wing

Barzani

Shahverdi

Amoozgar

2022

Journal of Vibration and Control

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“…Dynamics of structures is important issue in engineering structures [3][4][5][6][7]. Many dynamics studies have been conducted on axially moving structures in vacuum [8][9][10][11][12][13][14]. Higher-dimensional periodic and chaotic oscillations for a parametrically excited viscoelastic moving belt with multiple internal resonances were investigated by Zhang and Song [15].…”

Section: Introductionmentioning

confidence: 99%

Vibrations of axially traveling plates partially coupled with a viscous, orthogonally flowing liquid

Yang

Wang

2021

Z Angew Math Mech

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A semi-analytical method is presented to study the free vibration of an axially traveling plate partially submersed in viscous and orthogonally flowing liquid. The method is based on the classical thin plate theory and the finite element theory. The Navier-Stokes equation, Bernoulli's equation and the velocity potential function are used to express the liquid. The formulation of the dynamical liquidinduced force is derived by kinematic boundary conditions of the plate-liquid interfaces. The governing equations of the partially immersed traveling plate are obtained via the Hamilton's principle. Numerical calculations show that as the plate thickness increases, the liquid viscosity effect on natural frequencies of the plate becomes weaker and weaker. Besides, the magnitude of the liquid viscosity effect is found to be positively related to the distance between the plate and rigid wall, and the width of liquid domain. The plate is easier to reach the critical speed when the orthogonal liquid velocity is larger. Moreover, liquid viscosity plays important role on the vibrational behavior of the immersed traveling plate when the liquid velocity is relatively large. Several verifications have been conducted to test the effectiveness and accuracy of the developed method.

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“…Zhang and Song [53] investigated higher-dimensional periodic and chaotic oscillations of parametrically excited viscoelastic moving metal beams with multiple internal resonances. Yang et al [54] studied in detail the energy transfer in deploying beams. Based on the shear deformation beam theory, Larbi et al [55] examined vibration and bending behaviors of a beam made of functionally graded material.…”

Section: Introductionmentioning

confidence: 99%

Bending, buckling and vibration of shear deformable beams made of three-dimensional graphene foam material

Wang

Zhao

2019

J Braz. Soc. Mech. Sci. Eng.

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This paper studies bending, buckling and vibration of three-dimensional graphene foam (3D-GrF) beams in the framework of the sinusoidal shear deformation theory. Graphene foams can distribute along the thickness of beams in different patterns. The material properties of three-dimensional graphene foams are described by the scaling laws of open-cell foams. Based on Hamilton's principle, the governing equations together with boundary conditions are derived. Then, Navier's method and Rayleigh-Ritz method are used to calculate natural frequencies, critical buckling loads and center deflections of the 3D-GrF beams. Results show that the graphene foam distribution, the foam coefficient and the slenderness ratio have significant effect on buckling, bending and vibration behaviors of 3D-GrF beams. In addition, the present results are verified by the comparison with published ones in the literature.

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Energetics and Invariants of Axially Deploying Beam with Uniform Velocity

Cited by 22 publications

References 43 publications

Parametric study on the dynamic aeroelastic analysis of a two-stage axially deploying telescopic wing

Parametric study on the dynamic aeroelastic analysis of a two-stage axially deploying telescopic wing

Vibrations of axially traveling plates partially coupled with a viscous, orthogonally flowing liquid

Bending, buckling and vibration of shear deformable beams made of three-dimensional graphene foam material

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