Improved Calculation Method for Vertical Thermal Instability of Longitudinally Continuous Structures
Publication: Journal of Transportation Engineering, Part A: Systems
Volume 148, Issue 11
Abstract
A longitudinal continuous structure will become vertically unstable under longitudinal temperature pressure. The classical analytical calculation method of this issue was insufficient to explain the rationality of the rigid foundation assumption and not accurate enough. Based on this, this paper did the following work. The stress and vertical deformation characteristics of a longitudinally continuous structure under longitudinal temperature pressure with a flexible foundation were analyzed. Based on the waveform curve after upper arch, the equilibrium path of vertical instability of the longitudinal continuous structure with initial irregularity was derived by the principle of stationary potential energy. An improved calculation method for vertical thermal instability in longitudinal continuous structure was also proposed, which was verified through a comparative analysis using experimental data and a finite-element calculation. Our proposed method was also compared with Taylor’s method. The results justify the assumption of a rigid foundation to approximate a foundation of finite stiffness (e.g., for longitudinal continuous track) in a mechanical analysis. The equilibrium path of longitudinal continuous structure under longitudinal temperature pressure involves three main stages: stability, expansion, and instability. Without considering the postbuckling, the friction coefficient affects the stability of longitudinally continuous structures negligibly. The equilibrium paths and the waveforms obtained by our proposed method, the test, and the finite-element calculation were relatively close, which validates our proposed method. The equilibrium path obtained by Taylor’s method changes in a manner similar to that obtained by our proposed method, but Taylor’s temperature rise is 24%–30% lower than that obtained by our proposed method (only considering the stability and expansion stage). It is concluded that the present method is more accurate.
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Data Availability Statement
Some or all data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.
Acknowledgments
The research described in this paper was financially supported by Fundamental Research Program of Shanxi Province (20210302124452) and the National Natural Science Foundation of China (51978584 and 51778543).
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Published In
Journal of Transportation Engineering, Part A: Systems
Volume 148 • Issue 11 • November 2022
Copyright
© 2022 American Society of Civil Engineers.
History
Received: Feb 3, 2022
Accepted: May 12, 2022
Published online: Aug 19, 2022
Published in print: Nov 1, 2022
Discussion open until: Jan 19, 2023
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