Equivalent continuum modeling of beam-like truss structures with flexible joints

The paper investigated the equivalent continuum modeling of beam-like repetitive truss structures considering the flexibility of joints, which models the contact between the truss member and joint by spring-damper with six directional stiffnesses and dampings. Firstly, a two-node hybrid joint-beam e...

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Bibliographic Details
Published in:Acta mechanica Sinica 2019-10, Vol.35 (5), p.1067-1078
Main Authors: Liu, Fushou, Wang, Libin, Jin, Dongping, Wen, Hao
Format: Article
Language:English
Subjects:
Classical and Continuum Physics
Computational Intelligence
Continuum modeling
Damping
Engineering
Engineering Fluid Dynamics
Equations of motion
Equivalence
Finite element method
Research Paper
Resonant frequencies
Theoretical and Applied Mechanics
Trusses
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Summary:The paper investigated the equivalent continuum modeling of beam-like repetitive truss structures considering the flexibility of joints, which models the contact between the truss member and joint by spring-damper with six directional stiffnesses and dampings. Firstly, a two-node hybrid joint-beam element was derived for modeling the truss member with flexible end joints, and a condensed model for the repeating element with flexible joints was obtained. Then, the energy equivalence method was adopted to equivalently model the truss structure with flexible joints and material damping as a spatial viscoelastic anisotropic beam model. Afterwards, the equations of motion for the equivalent beam model were derived and solved analytically in the frequency domain. In the numerical studies, the correctness of the presented method was verified by comparisons of the natural frequencies and frequency responses evaluated by the equivalent beam model with the results of the finite element method model. Graphical abstract
ISSN:0567-7718
1614-3116
DOI:10.1007/s10409-019-00872-z