NDLI: Nonsmooth analysis of the impact between successive skew bridge-segments

Content Provider	Springer Nature Link
Author	Dimitrakopoulos, Elias G.
Copyright Year	2013
Abstract	Skew bridges with in-deck joints belong to the most common types of existing bridges worldwide. Empirical evidence from past earthquakes indicates that such, multi-segment, skew bridges often rotate in the horizontal plane, increasing the chances of deck unseating. The present paper studies the oblique in-deck impact between successive bridge segments, which triggers this peculiar rotation mechanism. The analysis employs a nonsmooth rigid body approach and utilizes set-valued force laws. A key feature of this approach is the linear complementarity problem (LCP) which encapsulates all physically feasible post-impact states. The LCP results in pertinent closed-form solutions which capture each of these states, and clarifies the conditions under which each post-impact state appears. In this context, a rational method to avoid the singularities arising from dependent constraints is coined. The results confirm theoretically the observed tendency of skew (bridge deck) segments to bind in their obtuse corners and rotate in such a way that the skew angle increases. Further, the study offers equations which describe the contact kinematics between two adjacent skew planar rigid bodies. The same equations can be used to treat successively as many pairs of skew bridge-segments as necessary.
Starting Page	911
Ending Page	928
Page Count	18
File Format	PDF
ISSN	0924090X
Journal	Nonlinear Dynamics
Volume Number	74
Issue Number	4
e-ISSN	1573269X
Language	English
Publisher	Springer Netherlands
Publisher Date	2013-08-23
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Skew bridges Oblique impact Unilateral contact Concrete bridges Linear complementarity problem Nonsmooth dynamics Vibration, Dynamical Systems, Control Mechanics Mechanical Engineering Automotive Engineering
Content Type	Text
Resource Type	Article
Subject	Ocean Engineering Applied Mathematics Control and Systems Engineering Mechanical Engineering Electrical and Electronic Engineering Aerospace Engineering

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