Modelling Transition Zones and Optimal Design Adjoining Tunnels and Bridges
- Publication Type:
- Thesis
- Issue Date:
- 2023
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Track transitions, such as bridge approaches, road crossings, and shifts from slab track to ballasted track, are known to be locations where track degradation accelerates due to dynamic and high impact forces. As a result, there is a higher differential settlement, which can cause an abrupt change in the structural response of the track due to variations in stiffness and track damping. This can cause accelerated deterioration of track material and geometry, leading to reduced efficiency, compromised track longevity, increased passenger discomfort, and elevated maintenance costs. In order to mitigate these issues, transition zones are provided at sudden discontinuities of track stiffness to minimize instability and reduce vibrations, and to ensure a smoother train passage over sections of significantly different track characteristics. By ensuring a smooth and gradual transition between flexible (less stiff) and rigid (stiff) track substructure, a well-designed transition zone can mitigate the impact of dynamic loads generated by moving trains.
This study proposes a novel approach to smoothen the abrupt stiffness variation along railway transitions and provides a step-by-step design of a multistep transition zone comprising adjoining segments with changing stiffness values, and design optimization guidelines. The influence of stiffness on the track dynamic response applied to transition zones is investigated analytically, considering a beam on elastic foundation. Vertical track displacements for varying stiffness values under different combinations of axle loads and speeds are calculated analytically and numerically, and they are found to be in good agreement. The results indicate that stiffer tracks undergo lesser settlements compared to those having smaller stiffness. Furthermore, the effect of abrupt stiffness variation at transition sections is analysed under four-carriage loading causing considerable differential settlement, which is further exacerbated by increased train speeds.
A mathematical process is introduced to determine the optimum stiffness of each segment to ensure a gradual change in stiffness while minimizing the corresponding differential settlement to allowable limits. The proposed methodology is further validated through Finite Element Modelling (2D & 3D) approach and worked-out examples, considering multiple loading conditions, epitomizing the effects of stiffness variation along the number of transition steps. From a practical perspective, this study significantly extends the design rejuvenation of transition zones by minimizing the differential settlement at any two consecutive transition segments. The proposed approach can be implemented to improve the durability and effectiveness of railway tracks during both their construction and upkeep, resulting in decreased passenger discomfort and reduced expenses for maintenance.
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