Equivalent modeling and dynamic analysis for large flexible space truss structures

LIU Mei1, CAO Dengqing1, HUANG Tingxuan2, SUN Lujun2

Journal of Vibration and Shock ›› 2020, Vol. 39 ›› Issue (3) : 69-75.

PDF(1533 KB)
PDF(1533 KB)
Journal of Vibration and Shock ›› 2020, Vol. 39 ›› Issue (3) : 69-75.

Equivalent modeling and dynamic analysis for large flexible space truss structures

  • LIU Mei1, CAO Dengqing1, HUANG Tingxuan2, SUN Lujun2
Author information +
History +

Abstract

Large flexible space truss structures have features of periodicity, large flexibility and complex configuration, their equivalent modeling is one of key techniques to design vibration controllers.Here, based on the energy equivalent principle and the classical Timoshenko beam theory, equivalent modeling and dynamic analysis were conducted for a large space flexible positive triangular prism truss structure with rigid joints.Taylor expansion method was used to derive its equivalent beam model’s stiffness and mass expressions, and the natural vibration characteristics of the truss structure and its equivalent beam were analyzed contrastively.Both of them agreed better with each other.The numerical results showed that the proposed equivalent approach is effective; the equivalent beam model has a higher accuracy.

Key words

large flexible space truss structure / periodicity / energy equivalent principle / equivalent beam model / natural vibration characteristics

Cite this article

Download Citations
LIU Mei1, CAO Dengqing1, HUANG Tingxuan2, SUN Lujun2. Equivalent modeling and dynamic analysis for large flexible space truss structures[J]. Journal of Vibration and Shock, 2020, 39(3): 69-75

References

[1] Noor A K. Continuum modeling for repetitive lattice structures [J]. Applied Mechanics Reviews, 1988, 41(7): 285-296.
[2] Noor A K, Anderson M S, Greene W H. Continuum models for beam- and platelike lattice structures [J]. AIAA Journal, 1978, 16(12): 1219-1228.
[3] Noor A K, Nemeth M P. Analysis of spatial beamlike lattices with rigid joints [J]. Computer Methods in Applied Mechanics and Engineering, 1980, 24(1): 35-59.
[4] Noor A K, Nemeth M P. Micropolar beam models for lattice grids with rigid joints [J]. Computer Methods in Applied Mechanics and Engineering, 1980, 21(2): 249-263.
[5] Lee U. Dynamic continuum modeling of beamlike space structures using finite-element matrices [J]. AIAA Journal, 1990, 28(4): 725-731.
[6] Burgardt B, Cartraud P. Continuum modeling of beamlike lattice trusses using averaging method [J]. Computers and Structures, 1999, 73(1): 267-279.
[7] Necib B, Sun C T. Analysis of truss beams using a high order Timoshenko beam finite element [J]. Journal of Sound and Vibration, 1989, 130(1): 149-159.
[8] Moreau G, Caillerie D. Continuum modeling of lattice structures in large displacement applications to buckling analysis [J]. Computers and Structures, 1998, 68(1-3): 181-189.
[9] Stephen N G, Zhang Y. Coupled tension–torsion vibration of repetitive beam-like structures [J]. Journal of Sound and Vibration, 2006, 293(1-2): 253-265.
[10] Stephen N G, Zhang Y. Eigen-analysis and continuum modelling of an asymmetric beam-like repetitive structure [J]. International Journal of Mechanical Sciences, 2004, 46(8): 1213-1231.
[11] Salehian A, Inman D J. Micropolar continuous modeling and frequency response validation of a lattice structure [J]. Journal of Vibration and Acoustics, 2010, 132(1): 256-280.
[12] Salehian A, Seigler T M, Inman D J. Dynamic effects of a radar panel mounted on a truss satellite [J]. AIAA Journal, 2007, 45(7): 1642-1654.
[13] Salehian A, Inman D J. Dynamic analysis of a lattice structure by homogenization:experimental validation [J]. Journal of Sound and Vibration, 2008, 316(1-5): 180-197.
[14] Kebiche K, Aoual K M N, Motro R. Continuum models for systems in a selfstress state [J]. International Journal of Space Structures, 2009, 23(2): 103-115.
[15] Murphey T W. Symbolic equations for the stiffness and strength of straight longeron trusses [C]. Structural Dynamics and Materials Conference, Newport, Rhode Island, May 1-4, 2006.
[16] Guo H W, Shi C, Li M, et al. Design and dynamic equivalent modeling of double-layer hoop deployable antenna [J]. International Journal of Aerospace Engineering, 2018, 2018(4): 1-15.
[17] 陈素芳, 谭志勇, 姜东, 等. 高温环境下纤维增强复合材料等效参数预测[J]. 振动与冲击, 2018, 37(11): 216-224.
CHEN Sufang, TAN Zhiyong, JIANG Dong, et al. Equivalent parametric prediction for fiber reinforced composites under high temperature condition [J]. Journal of Vibration and Shock, 2018, 37(11): 216-224.
[18] 刘福寿, 金栋平, 陈辉. 环形桁架结构动力分析的等效力学模型[J]. 振动工程学报, 2013, 26(4): 516-521.
LIU Fushou, JIN Dongping, CHEN Hui. An equivalent mechanics model for the dynamic analysis of hoop truss structures [J]. Journal of Vibration Engineering, 2013, 26(4): 516-521.
[19] Liu F S, Jin D P, Wen H. Equivalent dynamic model for hoop truss structure composed of planar repeating elements [J]. AIAA Journal, 2017, 55(3): 1-6.
[20] 董纪伟, 孙良新, 洪平. 基于均匀化方法的三维编织复合材料等效弹性性能预测[J]. 宇航学报, 2005, 26(4): 482-486. DONG Jiwei, SUN Liangxin, HONG Ping. Homogenization- base method for predicting effective elastic properties of three-dimensional braided composites [J]. Journal of Astronautics, 2005, 26(4): 482-486.
PDF(1533 KB)

865

Accesses

0

Citation

Detail

Sections
Recommended

/