NONLINEAR DYNAMIC DAMAGE EVOLUTION OF A HIGHWAY BRIDGE DUE TO ITS DYNAMIC INTERACTION WITH RANDOM FORMS OF IRREGULARITIES AND MOVING VEHICLES

Authors

  • Thiago de Oliveira Abeche UFPR
  • Roberto Dalledone Machado UFPR
  • João Elias Abdalla Filho PUCPR
  • Fernando Luiz Martinechen Beghetto UTFPR
  • Luiz Antonio Farani de Souza UTFPR

DOI:

https://doi.org/10.26512/ripe.v2i22.20875

Keywords:

Damage Mechanics. Dynamic Interaction. Finite Element Method. Nonlinear Dynamics. Computational Modeling.

Abstract

The effects of vehicle-structure interaction have a significant importance on the dynamic responses of both systems with several applications within the highways field. If the vehicle-irregularities-bridge dynamic interaction is capable to produce accumulated strains that cause damage to the structure, the dynamic responses are affected. By crossing a highway bridge with any speed, the vehicle is subjected to the highway irregularities. The movement of a vehicle on a bridge is already a dynamic action on the structure. However, the highway irregularities tend to excite the vehicle dynamically which in turns triggers additional vibrations in the highway bridge structure apart from those produced by their own movement, increasing the bridge’s damage evolution. This modifies the dynamic responses of the structure, increasing the magnitude and the oscillations particularly at critical speeds of the vehicle, capable to provoke some resonance. Apart from changing the displacements, velocities and accelerations responses, the damage alters the structural natural frequencies of vibration. Such effects are not possible to be analysed with linear dynamic models. The nonlinearities occur by the fact that the forces no longer linearly depend from the displacements when damage occurs. This work aims to evaluate the nonlinear dynamic damage evolution of a reinforced concrete highway bridge through the Finite Element Method, on which the degree of damage is altered over time by the dynamic interaction with random irregularities and moving vehicles due to the stiffness loss of the structure by Damage Mechanics. The highway irregularities are represented by random functions. Euler-Bernoulli beam elements with Hermite cubic interpolation functions are used for the bridge model. The Mazars Damage Constitutive Model is implemented with the condition of stress inversion due to vibration. The continuum damage mechanics is considered dynamically. Therefore, the damage is evaluated in each layer of the structure cross section for each iteration within each time step. The structural damping is defined by the Rayleigh method with updated coefficients due to damage. The equations of motion are obtained by nonlinear dynamic equilibrium and numerically integrated in time using the Newmark Method together with the Newton-Raphson iterative Method. This proposal seeks to contribute to the study of the health monitoring and the structural integrity of damaged highway bridges structures.

Downloads

Download data is not yet available.

References

Abeche, T.D.O., Machado, R.D., Beghetto, F.L.M. & de Souza, L.A.F., 2015. “Computational

modeling of vehicle-irregularity-bridge dynamic interaction by damage mechanics”. In S. Idelsohn,

V. Sonzogni, A. Coutinho, M. Cruchaga, A. Lew & M. Cerrolaza, eds., 1st Pan-American

Congress on Computational Mechanics (PANACM 2015) in conjunction with the XI Argentine

Congress on Computational Mechanics (MECOM 2015). Barcelona, Spain: International

Center for Numerical Methods in Engineering (CIMNE), Buenos Aires, Argentina, Vol. 1, pp.

”“496.

Abeche, T.O., Dalledone Machado, R., Abdalla Filho, J.E., Beghetto, F.L.M. & de Souza,

L.A.F., 2016. “Damage effects from dynamic interaction between vehicles, irregularities and

railway bridges in the nonlinear dynamic response of structures”. In J. Pombo, ed., Third

International Conference on Railway Technology: Research, Development and Maintenance

(Railways 2016). Stirlingshire, Scotland: Civil-Comp Press, Cagliari, Sardinia, Italy, Vol. 1, pp.

”“23.

Bathe, K.J., 1996. Finite Element Procedures. Prentice-Hall.

Beghetto, F.L.M. & Abdalla Filho, J.E., 2010. “Modeling the dynamic response of a railway

bridge and vehicle system”. In B.H.V. Topping, J.M. Adam, F.J. Pallarés, R. Bru & M.L.

Romero, eds., Tenth International Conference on Computational Structures Technology. Stirlingshire,

UK: Civil-Comp Press, 23.

Jacob, B.P. & Ebecken, N.F.F., 1994. “An optimized implementation of the newmark/newtonraphson

algorithm for the time integration of non-linear problems”. Communications in Numerical

Methods in Engineering, Vol. 10, No. 12, pp. 983”“992.

Lemaitre, J. & Chaboche, J., 1985. “Mécanique des matériaux solides, dunod, paris.(mechanics

of solid materials)”. Berlin: Springer Verlag.

Lemaitre, J. & Desmorat, R., 2005. Engineering damage mechanics: ductile, creep, fatigue and

brittle failures. Springer Science & Business Media.

Machado, R.D., 1983. Análise dinâmica não-linear de sistemas rígido-flexíveis. Master’s thesis,

Instituto Alberto Luiz Coimbra de Pós-Graduação e Pesquisa de Engenharia (COPPE),

Universidade Federal do Rio de Janeiro (UFRJ), Rio de Janeiro.

Mazars, J., 1984. Application de la mécanique de l’endommagement au comportement non

linéaire et à la rupture du béton de structure. Ph.D. thesis, Université Paris 6, Paris.

Pituba, J. & Proença, S., 2005. “Estudo e aplicação de modelos constitutivos para o concreto

fundamentados na mecânica do dano contínuo”. Cadernos de Engenharia de Estruturas, Vol. 7,

No. 23, pp. 33”“60.

Pituba, J.J.d.C., 1998. Estudo e aplicação de modelos constitutivos para o concreto fundamentados

na mecânica do dano contínuo. Ph.D. thesis, Escola de Engenharia de São Carlos,

Universidade de São Paulo, São Carlos.

Rabotnov, Y.N., Leckie, F. & Prager, W., 1970. “Creep problems in structural members”. Journal

of Applied Mechanics, Vol. 37, p. 249.

Tiago, C.M., Leitão, V.M. & Rosca, V., 2002. “Análise de problemas unidimensionais de

mecânica do dano com funções de base radial”. JM Goicolea, C. Mota Soares, M. Pastor e

G. Bugeda, Editor, Métodos Numéricos en Ingeniería V, Artes Gráficas Torres SA.

Downloads

Published

2017-02-08

How to Cite

Abeche, T. de O., Machado, R. D., Abdalla Filho, J. E., Beghetto, F. L. M., & Souza, L. A. F. de. (2017). NONLINEAR DYNAMIC DAMAGE EVOLUTION OF A HIGHWAY BRIDGE DUE TO ITS DYNAMIC INTERACTION WITH RANDOM FORMS OF IRREGULARITIES AND MOVING VEHICLES. Revista Interdisciplinar De Pesquisa Em Engenharia, 2(22), 195–214. https://doi.org/10.26512/ripe.v2i22.20875