Nonlinear Deployable Mesh Reflectors

Shi, Huaizhong; Yang, Bíngen

doi:10.1007/978-1-4614-1469-8_8

Cited by 5 publications

(9 citation statements)

References 14 publications

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“…The geometric nonlinearities of space cable net structures result from structural large displacements. Therefore, space cable net structures can be abstracted as three-dimensional truss structures, of which each element is modeled as bar and is only able to afford tension of elongation [17]. In this section, we will establish the nonlinear dynamic model of space cable net structures including geometrically nonlinear stiffness matrix and the associated distributed mass matrix.…”

Section: Nonlinear Dynamic Modelmentioning

confidence: 99%

Nonlinear dynamic analysis of space cable net structures with one to one internal resonances

Wang

Shen

2014

Nonlinear Dyn

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The nonlinear dynamic analysis of cable net structures becomes more and more significant for their space applications required high surface accuracy, especially mesh reflector antennas. In this work, the resonant multi-modal dynamics due to 1:1 internal resonances in the finite-amplitude vibrations of cable net structures subjected to harmonic loads are investigated. The nonlinear dynamic equation of space cable net structures is first developed using the extended Hamilton principle, which belongs to the self-excited vibration with quadratic and cubic nonlinearities. Linear modal analysis is then performed to decouple the nonlinear differential equations, and yields a complete set of system quadratic/cubic coefficients. With the aim of parametrically revealing nonlinear behaviors of space cable net structures, the second-order asymptotic analysis under 1:1 internal resonance is accomplished by the method of multiple scales. The nonlinear phenomena of a planar cable net and cable net reflector, such as the bending of response curve, jump phenomena, instability regions, saddle-node bifurcation, are verified by means of numerical analysis.

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Section: Nonlinear Dynamic Modelmentioning

confidence: 99%

Nonlinear dynamic analysis of space cable net structures with one to one internal resonances

Wang

Shen

2014

Nonlinear Dyn

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“…During the vibration process, cable net structures must remain in tension under any load combinations to avoid the cable slackening. Therefore, space cables can be abstracted as three‐dimensional two‐node truss members, of which each element is only able to afford tension of elongation . In this section, we will establish motion equations of cables with in‐plane and out‐of‐plane coupling motions.…”

Section: Motion Equations Of Cablesmentioning

confidence: 99%

“…The fundamental frequency of the cable net was described by an approximate formula depending on the sag and the sag‐to‐span ratio. Shi and Yang used the 3D truss member to investigate the dynamic characteristics of deployable mesh reflectors constructed by cable net structures . The small perturbation technique is adopted to linearize the nonlinear dynamic model of mesh reflectors.…”

Section: Introductionmentioning

confidence: 99%

Linear dynamic analysis and active control of space prestressed taut cable net structures using wave scattering method

Wang

2015

Struct. Control Health Monit.

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Summary In this paper, the linear dynamic analysis and active control of prestressed taut cable net structures are investigated by the wave scattering method. Wave motion equations of cables are firstly derived to obtain the wave dispersion characteristics, which are the combinations of the longitudinal tensile wave equations of bars and transverse wave equations of taut strings. The waveguide and scattering matrices of cables are then formed by the force balance and displacement boundary conditions. The derivation of the traveling wave model of cable net structures is accomplished by combining systematic scattering matrix with transmission matrix. Finally, the wave active control method is proposed based on the established traveling wave model. The comparison of results obtained by the wave scattering method with the finite element method shows an excellent agreement. But more importantly, it demonstrates that the computational efficiency of the wave scattering method is higher for dynamic analysis of large‐scale cable net structures. The effectiveness of the proposed wave active control method is verified by a planar cable net structure. Copyright © 2015 John Wiley & Sons, Ltd.

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“…To ultimately develop an active surface control technique, the authors' previous works have delivered an optimal design of initial profile and a nonlinear static model of mesh reflectors [7,8]. The work in this paper is the continued research following the previous paper [9]. According to the structural dynamic theories [10 -13], it is to analyze the dynamics of the mesh reflector in the space by considering the elastic-thermal properties and to serve the controller design purpose for improving the performance of the reflector's surface.…”

Section: Introductionmentioning

confidence: 96%

“…With the tension ties connecting to the nodes, the vertical external loads can be provided. In the second section of the paper, following the modeling formulation in Ref [9], a nonlinear model on coupled thermal-elastic dynamics is proposed. In the third section, the nonlinear model is linearized on the nonlinear static equilibrium and the dynamic properties are ready to obtain.…”

Section: Introductionmentioning

confidence: 99%

Coupled Elastic-Thermal Dynamics of Deployable Mesh Reflectors

Shi

Yang

Thomson

et al. 2011

52nd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference

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This paper presents a coupled elastic-thermal dynamic model and a quasi-static strategy on the analysis of the reflector dynamics in the space mission. The linearized model, its natural frequencies and mode shapes are then derived upon the nonlinear static equilibrium of the structure. The numerical example is provided to fully adapt the strategy and investigate the dynamic behaviors of the structure. Finally the proposed method is applied on the sample of the deployable mesh reflector and the simulation results are presented. The research work delivered in the paper will be used to design the feedback surface controller in future.

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Nonlinear Deployable Mesh Reflectors

Cited by 5 publications

References 14 publications

Nonlinear dynamic analysis of space cable net structures with one to one internal resonances

Nonlinear dynamic analysis of space cable net structures with one to one internal resonances

Linear dynamic analysis and active control of space prestressed taut cable net structures using wave scattering method

Coupled Elastic-Thermal Dynamics of Deployable Mesh Reflectors

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