Computer Simulation of Composite Beams Dynamic Behavior

Abstract:

The paper is devoted to the computer simulation of polymer composite beams dynamic behavior. The use opportunity of one-dimensional beam models for the design of composite elements instead of three-dimensional ones is discussed. The tree-dimensional modeling is implemented using the finite-element software SIMULIA Abaqus considering the orthotropic properties of the composite material. For the one-dimensional modeling two hypothesis of the internal friction – local and nonlocal – are applied and compared. The Kelvin-Voigt hypothesis is used as a local damping model. The nonlocal model is based on the nonlocal mechanics principals and obtained using the Galerkin method. The example glass fiber reinforced plastic beam with the fixed ends is considered under an instantly applied load. The parameters of the nonlocal damping model are defined using the least squares method. The flexibility of the nonlocal damping model is shown and the use opportunity of one-dimensional beam models for the design of composite elements is justified.

• Periodical: Materials Science Forum (Volume 974)
• Pages: 687-692
• DOI: https://doi.org/10.4028/www.scientific.net/MSF.974.687
• Online since: December 2019
• Authors: V.S. Fyodorov, Vladimir N. Sidorov, E.S. Shepitko*
• Keywords: Beam Vibrations, Computer Simulation, Finite Element Analysis, Internal Friction, Least Squares Method, Nonlocal Damping, Polymer Composite Materials

References

[1] A. Xie, Development of an FRP Deployable Bridge, Master of applied science thesis, Department of Civil Engineering, Royal Military College of Canada, (2007).

[2] J. C. Landherr, Dynamic analysis of a FRP deployable box beam, Master of applied science thesis. Kingston: Queen's University, (2008).

[3] R. A. Lim, Structural monitoring of a 10m fibre reinforced Polymer Bridge subjected to severe damage, Kingston: Queen's University, (2016).

[4] H. T. Banks, D. J. Inman, On damping mechanisms in beams journal of applied mechanics. 58 (3) (1991) 716–723.

DOI: 10.1115/1.2897253

[5] Y. Lei, M. I. Friswell, S. Adhikari A. Galerkin, Method for distributed systems with non-local damping int. Journal of solids and structures. 43 (2006) 3381–3400.

DOI: 10.1016/j.ijsolstr.2005.06.058

[6] D. L. Russell, On mathematical models for the elastic beam with frequency-proportional damping banks, Control and Estimation in Distributed Parameter Systems, Philadelphia: SIAM, (1992) 125–169.

DOI: 10.1137/1.9781611970982.ch4

[7] V. D. Potapov, Stability of rods under stochastic loading considering nonlocal damping problems of machinery and reliability. 4 (2012) 25–31.

[8] A. P. Filippov, Dynamics of deformable systems, Moscow, (1970).

[9] V. S. Fyodorov, V. N. Sidorov, E. S. Shepitko, Nonlocal damping consideration for the computer modelling of linear and nonlinear systems vibrations under the stochastic loads, IOP Conferences, Series: Materials Science and Engineering, (2018).

DOI: 10.1088/1757-899x/456/1/012040

[10] N. N. Kalitkin, Numerical methods: Study course – 2nd edition, St. Petersburg, (2011).