Dynamic analysis of the self-locking phenomenon in tape-spring hinges

Hoffait, Sébastien; Brüls, Olivier; Granville, Didier; Cugnon, Frédéric; Kerschen, Gaëtan

doi:10.1016/j.actaastro.2009.10.001

Cited by 38 publications

(20 citation statements)

References 11 publications

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“…As a consequence, they are not used in this work. A comparison between the static and dynamic results can be found in [16], which shows that the two approaches give very close results. Then, once the deformed configuration is stabilised, the structure is released and simulated with a standard dynamic analysis.…”

Section: Finite Element Modelsmentioning

confidence: 96%

“…In both situations, the following time step algorithms can be exploited: Newmark [21] of first-order accuracy, HHT [22] and generalized-α [23] both of second-order accuracy. However, only the former and the latter will be used in this work since it was observed that the HHT and generalized-α methods give similar results for the bending of tape springs [16]. Regarding the time step, an adaptive method is exploited in order to accurately capture the nonlinear phenomena and reduce the computation costs when the deformed configuration does not significantly evolve.…”

Section: Finite Element Modelsmentioning

confidence: 99%

“…Experimental analyses were performed, along with finite element simulations. Recently, a more precise study of the dynamic behaviour and the self-locking phenomenon was carried out in [16].…”

Section: Introductionmentioning

confidence: 99%

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Importance of structural damping in the dynamic analysis of compliant deployable structures

2015

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Compliant mechanisms such as tape springs are often used on satellites to deploy appendices, e.g. solar panels, antennas, telescopes and solar sails. Their main advantage comes from the fact that their motion results from the elastic deformation of structural components and the absence of actuators or external energy sources. The mechanical behaviour of a tape spring is intrinsically complex and nonlinear involving buckling, hysteresis and self-locking phenomena. In the majority of the previous works, dynamic simulations were performed without any physical representation of the structural damping. These simulations could be successfully achieved because of the presence of numerical damping in the transient solver. However, in this case, the dynamic response turns out to be quite sensitive to the amount of numerical dissipation, so that the predictive capabilities of the model are questionable. In this work based on numerical case studies, we show that the dynamic simulation of a tape spring can be made less sensitive to numerical parameters when the structural dissipation is taken into account. I INTRODUCTIONWith the extensive development of small satellites and cubesats dedicated to low-cost missions, the mass reduction of the components is paramount. However, the power reduction due to the miniaturisation of electronic equipment does not follow the same downward slope. Thus, covering only the external surface of the satellite with solar cells might not provide enough power and be too restrictive, hence the necessity for a reliable but cheap and simple means to deploy large solar panels. This, however, brings another major problem that must be solved: the packaging of large structures into the confined space inside the fairing of launch vehicles. In order to address these challenges, deployable structures have been developed and a brief listing of the most common structures can be found in [1]. This paper will focus on those belonging to the compliant mechanisms category and in particular on tape springs.A tape spring is a thin strip curved along its width commonly known as a Carpenter tape and used in the everyday life as tape measures. Nowadays, it finds applications in the space domain for the deployment of appendices such as solar panels, antennas, telescopes and solar sails. Since they belong to the category of compliant mechanisms, they rely only on elastic energy that is stored during the folding and then naturally released when deployed. Indeed, a possible equilibrium state when the tape spring is free of constraints is the straight configuration, which is sought as a deployed configuration for many space applications. This characteristic also brings forward the fact that no source of external energy is required for the deployment and hence the passive and selfactuated behaviours of these devices.Their motion results from the deformation of structural components only and not from the sliding between contact surfaces as in usual hinges or prismatic joints. It implies that tape springs do not requ...

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Section: Finite Element Modelsmentioning

confidence: 96%

Section: Finite Element Modelsmentioning

confidence: 99%

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Importance of structural damping in the dynamic analysis of compliant deployable structures

2015

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“…Lei et al [11] investigated the deployment properties of carbon/epoxy and glass/epoxy thin cylindrical shell by means of bending test and theoretical analysis. On the other hand, Yee et al [12] and Soykasap [13] studied the moment-rotation angle relationships and strain distribution of the composite tape-spring hinge made by three parallel single tape springs using FEM; Hoffait et al [14] studied the rotation angle, bending moment and energy of the isotropic three-tape-spring hinge during the deployment.In this paper, the deployment behaviors of the anisotropy tape-spring hinges are investigated by means of a theoretical model. And the dynamic vibration characterizations for the composite tape-spring hinges with different dampings are studied during the process of deployment.…”

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confidence: 99%

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confidence: 99%

Design theory and dynamic mechanical characterization of the deployable composite tube hinge

Yao

Yin

et al. 2011

Sci. China Phys. Mech. Astron.

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This paper presents a design theory and dynamic mechanical characterizations of the composite tape-spring hinge made by two parallel single tape springs. First, the theoretical models of moment-rotation angle on anisotropy tape springs with antisymmetric laminates are proposed. Second, the relationships of moment-rotation angle for tape-spring hinges with different sizes are simulated and analyzed by means of the finite element method (FEM), which is in good agreement with the results from theoretical predictions. Finally, the dynamic vibration analysis for deployable composite tube hinges with different dampings is done during the process of deployment. Composite tape-spring hinge, deployable, dynamic, damping PACS: 46.40.Ff, 46.70.De, 81.05.QkThe composite tape hinge is a self-deployable and selfdrivable structure, which has wide engineering applications in spacecraft structures due to its high specific strength, high specific stiffness, zero expansion and high damping ratio.Most studies about mechanical behaviors of tape spring are concentrated on the isotropic thin shell structure. Mansfiel [1] described the relationships between bending moment, torque moment, longitudinal and twisting curvatures for the isotropic initially curved strips. Seffen et al. [2,3] and Walker et al.[4] determined the moment-rotation angle relationships and the maximum moments of isotropic tape spring for opposite-sense and equal-sense bending theoretically. Walker et al. [5,6] performed the pure bending experiments of the single isotropic tape spring for opposite sense and equal sense with different sizes. For the composite tape hinge, Galletly et al. studied the cross-sectional shape and equilibrium point for the bistable composite tape hinge by the beam model [7] and the shell model [8]. Soykasap [9] studied the deployable behaviors of the hardened-steel tape-spring hinge using a theoretical model and non-linear finite element methods. Yee et al.[10] studied the bending behaviors for the one-ply and two-ply laminated tape spring made by carbon fiber reinforced plastic (CFRP). Lei et al. [11] investigated the deployment properties of carbon/epoxy and glass/epoxy thin cylindrical shell by means of bending test and theoretical analysis. On the other hand, Yee et al. [12] and Soykasap [13] studied the moment-rotation angle relationships and strain distribution of the composite tape-spring hinge made by three parallel single tape springs using FEM; Hoffait et al. [14] studied the rotation angle, bending moment and energy of the isotropic three-tape-spring hinge during the deployment.In this paper, the deployment behaviors of the anisotropy tape-spring hinges are investigated by means of a theoretical model. And the dynamic vibration characterizations for the composite tape-spring hinges with different dampings are studied during the process of deployment.

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Optimal design of a three tape-spring hinge deployable space structure using an experimentally validated physics-based model

Zhang

Yang

et al. 2017

Struct Multidisc Optim

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Dynamic analysis of the self-locking phenomenon in tape-spring hinges

Cited by 38 publications

References 11 publications

Importance of structural damping in the dynamic analysis of compliant deployable structures

Importance of structural damping in the dynamic analysis of compliant deployable structures

Design theory and dynamic mechanical characterization of the deployable composite tube hinge

Optimal design of a three tape-spring hinge deployable space structure using an experimentally validated physics-based model

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