Elastic Local Buckling Analysis of a Sandwich Corrugated Steel Plate Pipe-Arch in Underground Space
Abstract
:1. Introduction
2. Theoretical Model and Formulation
2.1. Modelling
2.2. Governing Equations
2.3. Local Buckling of the Straight Segment for an Even Value of m
2.4. Local Buckling of the Straight Segment for an Odd Value of m
2.5. Nondimensionation and Solution Method
3. Comparison between Theoretical Prediction and Numerical Simulation
3.1. Parameters
3.2. Comparison and Validation
4. Bucking Behaviors
4.1. Effect of the Length of Straight Segment
4.2. Effect of the Thickness of Core Layer
4.3. Effect of the Thickness of CSP Layer
4.4. Effect of the Elastic Modulus of CSP
4.5. Effect of Poisson’s Ratio
4.6. Effect of the Rotational Constraint Stiffness
5. Conclusions
- This study employs Hoff sandwich plate theory and the Rayleigh–Ritz method to establish a theoretical model for analyzing the buckling stability of sandwich CSP pipe-arches in underground spaces. Through this approach, we have derived analytical formulas to compute the critical load and wavenumber, offering comprehensive insights into their buckling behavior.
- This study explores the factors influencing the elastic buckling of sandwich CSP pipe-arches. The results indicate that increasing the span side length decreases the load-bearing capacity, while increasing core thickness, CSP thickness, CSP elastic modulus, Poisson’s ratio, and rotational constraint stiffness enhances the load-bearing capacity.
- This study investigates how various factors affect the wavenumber of sandwich CSP pipe-arches. The analysis reveals that increasing the span side length decreases the wavenumber. Core thickness and CSP thickness do not significantly affect the wavenumber when increased. Conversely, increasing the CSP elastic modulus reduces the wavenumber. Changes in Poisson’s ratio and rotational constraint stiffness do not notably alter the wavenumber when increased.
- Through analysis of buckling stability, we can refine structural design to enhance safety and reliability. This approach not only contributes to the structural design of CSP composite structures but also ensures the dependability of engineering projects. For instance, in applications involving sandwich CSP pipe-arches, augmenting the thickness of CSP enhances structural stability. This ensures optimal material utilization and maximizes cost-effectiveness.
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
References
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Parameter | Definition | Value | Unit |
---|---|---|---|
Span of the CSP pipe-arch | 3 × 102~5 × 102 | mm | |
Length of the straight segment | 30~60 | mm | |
Thickness of core layer | 1~3 | mm | |
Thickness of single CSP layer | 0.4~1.2 | mm | |
Elastic modulus of core layer | 1.0 × 104~5.0 × 106 | N/m2 | |
Elastic modulus of CSP layer | 2.0 × 1011~2.1 × 1011 | N/m2 | |
Poisson’s ratio | 2.0 × 106~2.0 × 106 | / | |
Rotational constraint stiffness | 10~9.9 × 103 | N/rad | |
Soil compression stiffness | 1.4 × 107~6.5 × 107 | N/m3 |
Parameter | |||||||
Value | 0.1–0.5 | 0.1–50 | 0.1–50 | 0.001–0.03 | 0.001–0.012 | 0.01–1 | 0.01–1 |
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Che, C.; Sun, Z.; Xu, P.; Shi, F.; Liu, J.; Li, K. Elastic Local Buckling Analysis of a Sandwich Corrugated Steel Plate Pipe-Arch in Underground Space. Buildings 2024, 14, 2696. https://doi.org/10.3390/buildings14092696
Che C, Sun Z, Xu P, Shi F, Liu J, Li K. Elastic Local Buckling Analysis of a Sandwich Corrugated Steel Plate Pipe-Arch in Underground Space. Buildings. 2024; 14(9):2696. https://doi.org/10.3390/buildings14092696
Chicago/Turabian StyleChe, Chengwen, Zhanying Sun, Pengsen Xu, Feng Shi, Junxiu Liu, and Kai Li. 2024. "Elastic Local Buckling Analysis of a Sandwich Corrugated Steel Plate Pipe-Arch in Underground Space" Buildings 14, no. 9: 2696. https://doi.org/10.3390/buildings14092696