Oblique frictional unilateral contacts perceived in curved bridges

Banerjee, Arnab; Chanda, Avishek; Das, Raj

doi:10.1007/s11071-016-2824-z

Cited by 18 publications

(16 citation statements)

References 33 publications

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“…The centre of mass

((),, {\overset{X}{true}}_{m}, {\overset{Y}{true}}_{m})

of the curved deck is calculated in Eqns and of Ref. as follows:

((),, {\overset{X}{true}}_{m}, {\overset{Y}{true}}_{m}) = \frac{{(R + \frac{W}{2})}^{3} - {(R - \frac{W}{2})}^{3}}{R W} \frac{2 normalsin \frac{β}{2}}{3 β} ((), normalsin \frac{β}{2}, normalcos \frac{β}{2})

…”

Section: Methodsmentioning

confidence: 99%

“…The mass matrix of the rigid curved deck, according to Eqn of Ref. , is

M = italicdiag ((),,, m, m, I_{M}); I_{M} = \frac{{(R + \frac{W}{2})}^{4} - {(R - \frac{W}{2})}^{4}}{4} β ρ t

…”

Section: Methodsmentioning

confidence: 99%

“…A detailed impact analysis, including investigation of the stick‐slip condition, for curved deck‐abutment interaction is carried out in Ref. . The geometric parameters, for the un‐rotated deck and rotated deck, as shown in Figure of Ref.…”

Section: Methodsmentioning

confidence: 99%

“…A numerical method, incorporating the finite element models, was also introduced by Theodosiou et al , for simulating those circumstances experiencing multiple unilateral contacts at large scales. This concept of multibody frictional impact was further extended for identifying the different collision states, such as stick and slip, at the deck‐abutment interface of skew bridges by Dimitrakopoulus and of curved bridges by Banerjee et al . Application of the same method was also carried out for simulating a straight bridge, idealised as a single degree of freedom system, experiencing impact because of a seismic event .…”

Section: Introductionmentioning

confidence: 99%

“…Methodologically, the paper adopts a different viewpoint to estimate the planner dynamics of the deck segments and the associated pounding‐induced rotation mechanism, than the conventional structural dynamics. The proposed concept stems from non‐smooth multibody dynamics with unilateral contacts and is influenced by previous authors . The first objective of this paper is to identify and evaluate all the critical structural parameters that can affect the seismic response, mostly in‐plane deck rotation, torsion, shear and bending to the columns.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Seismic analysis of a curved bridge considering deck‐abutment pounding interaction: an analytical investigation on the post‐impact response

Banerjee

Chanda

Das

2016

Earthq Engng Struct Dyn

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Summary Horizontal curved bridges are very common at intersections and at the changing angle of bridge alignment. Almost in every previous earthquake report, it can be seen that the columns of a curved segment experience torsional damage, and the curved decks are unseated from the abutment support. The main reason behind that phenomenon is the in‐plane deck rotation which results because of the complex dynamic coupling between two longitudinal directional vibrations. The curved decks are susceptible to deck rotation because in a curved segment, the centre of mass and the centre of stiffness generally lie outside the bridge deck and are not located at the same point. The pounding with the abutment often increases the rotational tendency of the deck. In this paper, a classical mechanics‐based approach is adopted to analytically estimate the deck rotation potential of curved bridge considering the deck‐abutment pounding interaction. The deck‐abutment pounding is modelled using non‐smooth techniques considering the Newton's impact law in the normal and Coulomb's friction in the tangential direction. Within the scope of this paper, a parametric study is performed to get the ideal combination of the column and bent arrangement and the gap distance. Copyright © 2016 John Wiley & Sons, Ltd.

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“…The centre of mass