Equivalent Dynamic Model of the Space Antenna Truss with Initial Stress

Liu, Mei; Cao, Dengqing; Zhu, Dongfang

doi:10.2514/1.j058647

Cited by 26 publications

(7 citation statements)

References 28 publications

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“…The following geometric equation [13] can be used to calculate the strain at the periodic unit's center from the displacement along the center axis:…”

Section: Periodic Unit Displacement Fieldmentioning

confidence: 99%

“…Some researchers [11,12] used the homogenization method in addition to the energy-equivalent method to model the periodic lattice structure equivalently; however, this homogenization method necessitates strict mathematical derivation and is challenging to apply to large and complex space truss structures. Recent research by Liu et al [13] considered modeling large space antenna trusses similarly in the presence of prestress, and Liu's approach is more straightforward and less complex than Noor's. In recent years, hoop equivalent models were proposed based on the principle of energy equivalence to study the dynamic properties of spatial ring truss structures [14,15].…”

Section: Introductionmentioning

confidence: 99%

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Equivalent modeling of LSTS and frequency calculation based on dynamic stiffness method

Li,

Ma,

Zhao

2024

J. Phys.: Conf. Ser.

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Large space truss structures (LSTS) are quickly becoming a vital type of space structure due to the fast expansion of the outer space field. The equivalent modeling approach has recently attracted the attention of researchers and engineers due to the finite element method’s limitations. In order to solve the equivalent beam model (EBM) in terms of frequency, the Wittrick-Williams algorithm based on dynamic stiffness matrix and the equivalent modeling procedure of large space truss structure are introduced in this study. The frequencies obtained by the equivalent model are good agreement with that obtaied by the finite element model, demonstrating the efficiency of the frequency solution method and equivalent modeling.

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“…The following geometric equation [13] can be used to calculate the strain at the periodic unit's center from the displacement along the center axis:…”

Section: Periodic Unit Displacement Fieldmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Equivalent modeling of LSTS and frequency calculation based on dynamic stiffness method

Li,

Ma,

Zhao

2024

J. Phys.: Conf. Ser.

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“…If an element connects joints i and j, the position vector of its middle point will be denoted as p (ij) . Hence, the position matrix P of the whole mast unit can be expressed as follows: P � p (25) p (36) p (14) p (23) p (12) p (13) p (24) p (15) p (16) p (34) p (26) p (35)…”

Section: Equivalent Mathematical Model Of Central Mastmentioning

confidence: 99%

“…Zhang et al evaluated the equivalent bending stiffness of a hybrid decktruss structure using the equivalent continuum beam method based on the homogenization concept and shearing equivalence principle [25]. In addition, Liu et al established an equivalent dynamic model for the prestressed space antenna truss with the static condensation method on the bases of the energy equivalence principle and Timoshenko beam theory [26].…”

Section: Introductionmentioning

confidence: 99%

Modeling and Analysis of a Large-Scale Double-Level Guyed Mast for Membrane Antennas

Liu

et al. 2020

Mathematical Problems in Engineering

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This paper proposes a double-level guyed membrane antenna for stiffness improvement of a large-scale tri-prism deployable mast using the collapsible tubular mast (CTM). Initially, the construction of the antenna and the modeling of the CTM boom are illustrated. Afterwards, the central mast with isosceles triangular cross section is mathematically equivalent to a continuum beam, in which the equations of motion and the constitutive relations are derived. Based on the equivalent central beam, the double-level guyed mast for the membrane antenna is modeled as a 2(3-SPS-S) mechanism, and then velocity Jacobian matrices and stiffness matrices of SPS branches are constructed. Additionally, the total stiffness matrix of the equivalent mechanism is derived with the principle of virtual work and then evaluated as an accurate approach. Finally, with the aim to improve the static stiffness of the double-level guyed mast, the numerical analysis using the Genetic Algorithm (GA) is carried out for optimizing the distribution of guys in terms of anchor positions and attachment heights.

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“…Large deployable space structures (LDSS) developed prosperously in recent years because they can meet the requirements of large-scale and are lightweight in function [1,2]. Numerous works have been dedicated to the dynamic modeling and nonlinear analysis of this kind of structure [3][4][5][6], most of which tackle the joints in trusses as ideal joints ignoring the joint clearance. Joint clearance ensures that the structures can be successfully assembled and deployed [7] but leads to some unexpected influences, such as impact and friction, which affect the dynamic response, stability, and pointing accuracy of structures in orbit [8][9][10] as the primary sources of structural nonlinearity and damping.…”

Section: Introductionmentioning

confidence: 99%

A study on the effects of clearance joints on the dynamic response of the beam-joint structure using VFIFE

Yao

Liang

Zhang

et al. 2023

Preprint

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Joint clearance is unavoidable because it ensures successful assembly and deployment, but it also affects the dynamic response, stability, and pointing accuracy of large deployable space structures. This paper investigates the effects of clearance joints on the dynamic response of a beam-joint structure, a fundamental element of large deployable space structures. Vector form intrinsic finite element is employed to establish the structure’s motion governing equation to overcome the difficulties in modeling and solving of traditional finite element method led by contact behavior. The contact forces are modeled by the Lankarani and Nikravesh contact model and the modified Coulomb's friction model. First, a classical benchmark problem of a clamped-clamped beam is studied to validate the accuracy and efficiency of the model proposed. Then, a planar beam-joint structure with clearance joints is used to investigate the effects of clearance on the dynamic response. Subsequently, multiple simulation cases are executed to study the effects of different clearance factors on the dynamic structural characteristics. The results show that as the coefficient of restitution becomes small and the sliding friction coefficient gets large, more energy is dissipated, revealing their significant influence on the structural damping characteristics. Joint clearance enlarges the structure’s dynamic response, and larger clearance size and more clearance joints exacerbate these effects. The structure’s damping ratio becomes larger when the clearance size gets smaller. These results indicate that clearance joints have significant effects on the structure's dynamic characteristics, and they must be considered in the design and analysis of high-precision space structures.

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Equivalent Dynamic Model of the Space Antenna Truss with Initial Stress

Cited by 26 publications

References 28 publications

Equivalent modeling of LSTS and frequency calculation based on dynamic stiffness method

Equivalent modeling of LSTS and frequency calculation based on dynamic stiffness method

Modeling and Analysis of a Large-Scale Double-Level Guyed Mast for Membrane Antennas

A study on the effects of clearance joints on the dynamic response of the beam-joint structure using VFIFE

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