Equivalent Beam Model for Spatial Repetitive Lattice Structures with Hysteretic Nonlinear Joints

Liu, Fushou; Wang, Libin; Jin, Dongping; Liu, Xiangdong; Lu, Pingli

doi:10.1016/j.ijmecsci.2021.106449

Cited by 21 publications

(7 citation statements)

References 50 publications

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“…Liu [10] studied the method of a repeating truss structure equivalent beam continuum model considering the flexibility of nodes. Liu [11] further proposed an equivalent beam model that considered the warping of the repeated element cross section. Cao [12] proposed a method for extending the continuum model to an elongated truss structure with geometric nonlinearity.…”

Section: Introductionmentioning

confidence: 99%

Equivalent Continuum Modeling for Flexible Slender Quadrilateral Truss Structure

Li,

Wang,

Liu

et al. 2024

Machines

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A space in-orbit service simulation experiment platform is a type of equipment platform that allows spacecraft such as satellites and deep-space explorers to be adequately ground tested before launch. The function of the crane system is to drive the target spacecraft to perform a large-scale movement. This study focuses on the dynamics of a space in-orbit service simulation experiment platform with suspension rope and column quadrilateral truss structure as connecting devices. A space in-orbit service simulation experiment platform with a column quadrilateral truss structure as a connecting device is studied, modeled as a crane system–column quadrilateral truss structure–target spacecraft system. For the column quadrilateral truss structure, the equivalent beam model is used to make it equivalent based on the Timoshenko beam theory. The required equivalent stiffness parameters are determined and adjusted. The relative error between the finite element model and the corrected equivalent beam model of the column quadrilateral truss structure is no more than 4.7%. The results indicate that the accuracy of the modified equivalent beam model is sufficient. The improved equivalent beam model has excellent precision according to numerical calculations, and the derived equivalent stiffness parameters may be employed directly in dynamic modeling.

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Section: Introductionmentioning

confidence: 99%

Equivalent Continuum Modeling for Flexible Slender Quadrilateral Truss Structure

Li,

Wang,

Liu

et al. 2024

Machines

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“…However, to achieve the deployable function, HTAs are actually built up by a number of closed hingeconnected periodic components. The hinge introduces additional degrees of freedom to the system, therefore, the single continuum model [6][7][8][9][10][11][12][13] cannot describe the dynamical characteristics of hinge-articulated structures. Moreover, the nonlinear torque transmission characteristics of the flexible hinges play an essential role in the dynamic behaviors of large-scale HTAs, which need to be thoroughly considered.…”

Section: Introductionmentioning

confidence: 99%

“…Therefore, to provide further guidance for the structural design and vibration suppression of the HTAs, it is crucial to investigate and predict nonlinear dynamic behaviors of 3:1 internal resonance of the HTAs thoroughly. The dynamic simplification of hoop truss antennas with simple elastic continuum models, such as the equivalent ring [6,7], the equivalent shell [8][9][10][11][12], and the beam-ring structure [13] have been proposed to conduct effective dynamic analysis of HTAs. Liu et al [6] investigated the natural characteristics of a hoop truss based on the presented equivalent circular ring model, in which the equivalent beams are established to simplify the repetitive units of the circular truss [7].…”

Section: Introductionmentioning

confidence: 99%

“…The dynamic simplification of hoop truss antennas with simple elastic continuum models, such as the equivalent ring [6,7], the equivalent shell [8][9][10][11][12], and the beam-ring structure [13] have been proposed to conduct effective dynamic analysis of HTAs. Liu et al [6] investigated the natural characteristics of a hoop truss based on the presented equivalent circular ring model, in which the equivalent beams are established to simplify the repetitive units of the circular truss [7]. Zhang et al [8] simplified the truss antenna as an equivalent cylindrical shell, then performed nonlinear breathing vibrations and chaotic analysis of the thermally excited hoop truss antenna [9].…”

Section: Introductionmentioning

confidence: 99%

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Theoretical analysis of nonlinear dynamic behaviors of an articulated hoop truss antenna with 3:1 internal resonance

Fang,

WANG,

et al. 2023

Preprint

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The dynamic behaviors of large-scale hoop truss antennas (HTAs) are significantly influenced by the nonlinear torque transmission properties of flexible hinges. Due to the nonlinearity of hinge, the HTR can be easily excited to exhibit internal resonances that result in the energy exchanging between the adjacent two or three modes. This paper focuses on the 3:1 internal resonant response of an articulated HTR induced by the nonlinearity of hinge. The analytical modes are obtained by using the global mode method (GMM), and are validated by finite element method (FEM). Then the partial differential equations (PDEs) of planar motions are discretized into ordinary differential equations (ODEs) by Galerkin’s technique. The multiple time scale method is employed to obtain the four-dimensional modulation equations of HTA with primary and 3:1 internal resonance. By using Newton-Raphson iteration and pseudo arclength continuation, frequency-response and force-response curves are obtained to investigate the theoretical steady-state vibrations of HTA. Moreover, the influence of the cubic spring stiffness, damping, and external excitation amplitude on the system’s nonlinear dynamic behaviors are investigated. The numerical simulation reveals that the articulated multi-beam hoop structure exhibits typical nonlinear phenomena such as hardening-spring type characteristic, jumps, bi-stability and double peaks. The research findings contribute to the development of a comprehensive framework for analyzing internal resonances in a class of hinge-connected flexible structures.

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“…In recent years, lattice structures have garnered significant attention in engineering applications due to their low density and customizable mechanical properties. They provide broad application prospects for enhancing shock absorption and energy absorption [7][8][9][10][11]. Gradient lattice structures have become a common design concept known for their superior energy absorption capabilities compared to uniform lattice structures.…”

Section: Introductionmentioning

confidence: 99%

Study on Dynamic Mechanics of Node-Enhanced Graded Lattice Structure and Application Optimization in Automobile Energy Absorbing Box

Wu,

Chen,

Liu

et al. 2023

Materials

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Based on the lightweight characteristics of automotive energy absorption boxes and the requirement of good energy absorption effect, this article first applies the node-enhanced body centered cubic (NBCC) lattice structure to the inner core design of automotive energy absorption boxes. The gradient study of the NBCC lattice structure was carried out using a drop hammer impact and split Hopkinson pressure bar (SHPB). The results indicate that gradient lattice structures have advantages in energy absorption, but there are differences under different gradient strategies. When the impact is not sufficient to compact the structure, the vertical rod diameter gradient node-enhanced lattice structure (RGNBCC) can absorb more energy and improve energy absorption performance by 25%. The vertical height gradient node-enhanced lattice structure (HGNBCC) is more suitable for high-speed impact conditions. Based on the advantages of the RGNBCC in resisting low-speed impacts, it is applied to the inner core design of automotive energy absorption boxes and optimized using multi-objective optimization methods. The optimization results show that the maximum peak impact force is reduced by 45.6% and the specific energy absorption is increased by 30.4%.

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Equivalent Beam Model for Spatial Repetitive Lattice Structures with Hysteretic Nonlinear Joints

Cited by 21 publications

References 50 publications

Equivalent Continuum Modeling for Flexible Slender Quadrilateral Truss Structure

Equivalent Continuum Modeling for Flexible Slender Quadrilateral Truss Structure

Theoretical analysis of nonlinear dynamic behaviors of an articulated hoop truss antenna with 3:1 internal resonance

Study on Dynamic Mechanics of Node-Enhanced Graded Lattice Structure and Application Optimization in Automobile Energy Absorbing Box

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