Transient planar dynamics of cable-payload systems using geometrically exact beam theory

Dehadrai, Abhinav Ravindra; Sharma, Ishan; Gupta, Shakti S.

doi:10.1016/j.ijmecsci.2022.107271

Cited by 4 publications

(2 citation statements)

References 59 publications

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“…Due to their lightweight, low damping, and high flexibility, suspended cables are prone to phenomena such as vortex-induced vibration, wake galloping, wind-rain-induced vibration, flutter, and parametric vibration under the influence of external factors such as strong winds, wind-rain coupling, traffic, and earthquakes [2,3,4]. These phenomena severely affect the safety and comfort of large-span spatial structures.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear resonant responses of suspended cables with a longitudinal time-delayed feedback control

Peng,

Li,

et al. 2024

Preprint

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In this study, the vibration control of suspended cables is achieved through the implementation of a longitudinal time delay feedback control strategy. Based on the Hamiltonian variational principle and using boundary conditions, the motion differential equations for the suspension cable under longitudinal time-delayed feedback control are derived. The delay differential equations are discretized using the Galerkin method. The fourth-order approximate solution for the primary resonance response of the suspension cable under time-delayed feedback control is obtained using the method of multiple scales. The correlation between the system response and the controlled parameters is established, and the vibration control effects under different control parameters are analyzed through numerical examples.

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Section: Introductionmentioning

confidence: 99%

Nonlinear resonant responses of suspended cables with a longitudinal time-delayed feedback control

Peng,

Li,

et al. 2024

Preprint

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“…For high-altitude, long-endurance aircraft with large flexibility and a high aspect ratio, the geometrically exact beam model proposed by Hodges [2] is one of the most widely used approaches. A number of very flexible aircraft simulation frameworks based on the geometrically exact beam model have been created [3][4][5][6][7], often using nonlinear beam models to represent the structural response, combined with low-order aerodynamic descriptions to reduce coupled nonlinear aeroelastic problems to a manageable scale for time domain calculations. There are several versions of the geometrically exact beam model, such as the displacement-based formulation [8], strain-based formulation [9,10], and fully intrinsic formulation [11,12].…”

Section: Introductionmentioning

confidence: 99%

Mass and Force Lumping: An Essential Enhancement to the Intrinsic Beam Finite Element Discretization

Wang,

Zhou

2023

Aerospace

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This paper introduces the novel application of the mass and force lumping technique to enhance the finite element discretization of the fully intrinsic beam formulation. In our aeroelastic system model, 2-D unsteady aerodynamics were incorporated alongside simple calculations for thrust and gravity. Through the central difference discretization method, the discretized system was thoroughly examined, shedding light on the advantages of the mass and force lumping approach. With the use of a first-order lumping method, we successfully reconstructed the inertia matrices, external forces, and moments. The resulting equations are more systematically structured, facilitating the extraction of a regular state-space linear system using the direct index reduction method post-linearization. Numerical results further confirm that the proposed techniques can effectively capture the nonlinear dynamics of aeroelastic systems, enabling equation reconstruction and leading to significant benefits in system order reduction and flight dynamical analysis.

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Structural modeling and dynamic analysis of the two-segment deployable beam system

Zhang

Wang

Zhao

et al. 2022

International Journal of Mechanical Sciences

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Transient planar dynamics of cable-payload systems using geometrically exact beam theory

Cited by 4 publications

References 59 publications

Nonlinear resonant responses of suspended cables with a longitudinal time-delayed feedback control

Nonlinear resonant responses of suspended cables with a longitudinal time-delayed feedback control

Mass and Force Lumping: An Essential Enhancement to the Intrinsic Beam Finite Element Discretization

Structural modeling and dynamic analysis of the two-segment deployable beam system

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