Nonlinear modal interactions in composite thin-walled beam structures with simultaneous 1:2 internal and 1:1 external resonances

被引:15
|
作者
Wang, Xiao [1 ]
Qin, Zhanming [2 ]
机构
[1] Politecn Milan, Dipartimento Sci & Tecnol Aerospaziali, Via La Masa 34, I-20156 Milan, Italy
[2] Xi An Jiao Tong Univ, Sch Aerosp, 28 West Xianning Rd, Xian 710049, Peoples R China
关键词
Thin-walled beam; Geometrically nonlinear; Modal interactions; Internal resonance; PART I; FREE-VIBRATION; DYNAMICS; MODEL; FORMULATION; CABLES;
D O I
10.1007/s11071-016-2970-3
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
Nonlinear dynamic characteristics of a composite aircraft wing structure modeled by a geometrically nonlinear anisotropic thin-walled beam in the presence of simultaneous 1:2 internal and 1:1 external resonances are investigated. Some prominent non-classical effects such as of transverse shear strain, warping inhibition, and three-dimensional strain are considered in the beam model. Moreover, circumferentially asymmetric stiffness lay-up configuration is adapted to generate the transverse bending-twisting elastic coupling. The solution methodology is based on the Extended Galerkin's Method, and the method of multiple scales is applied to the system in order to obtain the equations of amplitude and modulation. Steady-state solutions and their stability are investigated. The peculiarity of the internal resonances and the conditions for saturation and jump phenomenon during the modal interactions are discussed and the commercial code ABAQUS is used to validate the theoretical results we have obtained. Finally, the prominent features of modal interactions in composite thin-walled beam structures are summarized and pertinent suggestions concerning safe design of the wing structures are given.
引用
收藏
页码:1381 / 1405
页数:25
相关论文
共 50 条
  • [31] External-internal composite spinning technology for forming thin-walled Ω-sectioned ring of superalloy
    Shao, Guangda
    Li, Hongwei
    Zhang, Xin
    Zhan, Mei
    Li, Zhijun
    Liu, Qiao
    JOURNAL OF MATERIALS PROCESSING TECHNOLOGY, 2021, 291
  • [32] Nonlinear transverse vibrations and 3:1 internal resonances of a beam with multiple supports
    Ozkaya, E.
    Bagdatli, S. M.
    Oz, H. R.
    JOURNAL OF VIBRATION AND ACOUSTICS-TRANSACTIONS OF THE ASME, 2008, 130 (02):
  • [33] Analysis of thin-walled composite box beam under torsional load without external restraint
    Wu, YP
    Zhu, YL
    Lai, YM
    Zhang, XF
    Liu, SZ
    THIN-WALLED STRUCTURES, 2002, 40 (04) : 385 - 397
  • [34] External and internal resonances of thin-walled curved beams under three-directional moving harmonic loads
    Chen, Haijun
    Cai, Yong
    Lv, Xiaoyong
    MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES, 2024, 52 (11) : 9099 - 9121
  • [35] Nonlinear dispersion wave characteristics of thin-walled box beam based on 1D higher-order beam theory
    Tan M.
    Guo D.
    Yang Q.
    Yang L.
    Luo D.
    Zhendong yu Chongji/Journal of Vibration and Shock, 2023, 42 (21): : 126 - 132
  • [36] Nonlinear dynamic modelling and analysis of a rotating composite thin-walled beam considering ice coating
    Li, Xiao
    Li, Ji an
    Li, Yinghui
    Li, Ming
    AEROSPACE SCIENCE AND TECHNOLOGY, 2024, 148
  • [37] ON THE STATIC AEROELASTIC TAILORING OF COMPOSITE AIRCRAFT SWEPT WINGS MODELED AS THIN-WALLED BEAM STRUCTURES
    LIBRESCU, LV
    SONG, OS
    COMPOSITES ENGINEERING, 1992, 2 (5-7): : 497 - 512
  • [38] Dynamic aeroelastic response and active control of composite thin-walled beam structures in compressible flow
    Na, Sungsoo
    Song, Ji-Seok
    Choo, Jeong-Hwan
    Qin, Zhanming
    JOURNAL OF SOUND AND VIBRATION, 2011, 330 (21) : 4998 - 5013
  • [39] The effect of different layouts in internal and external stiffeners on the energy absorption of thin-walled structures with square sections
    Nia, Ali Alavi
    Attar, Ali Akhavan
    ARCHIVES OF CIVIL AND MECHANICAL ENGINEERING, 2017, 17 (04) : 997 - 1010
  • [40] On the role of large cross-sectional deformations in the nonlinear analysis of composite thin-walled structures
    E. Carrera
    A. Pagani
    R. Augello
    Archive of Applied Mechanics, 2021, 91 : 1605 - 1621