## Appendix A
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* [PERSON] et al. (2020) [PERSON]; [PERSON]; [PERSON]; [PERSON]; [PERSON]; [PERSON] Freeze-thaw cycling impact on the shear behavior of frozen soil-concrete interface. _Cold Reg. Sci. Technol._**2020**, _173_, 103024. [CrossRef]
* [PERSON] et al. (2018) [PERSON]; [PERSON]; [PERSON]; [PERSON]; [PERSON] Characterization of the viscoelastic effects of thawed frozen soil on pile by measurement of free response. _Cold Reg. Sci. Technol._**2018**, _145_, 229-236. [CrossRef]
* [PERSON] et al. (2021) [PERSON]; [PERSON]; [PERSON]; [PERSON]; [PERSON]; [PERSON] Experimental study of frozen soil effect on seismic behavior of bridge pile foundations in cold regions. _Structures_**2021**, _32_, 1752-1762. [CrossRef]
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* [PERSON] et al. (2019) [PERSON]; [PERSON]; [PERSON]; [PERSON]; [PERSON] Vertical vibration of a single pile embedded in a frozen saturated soil layer. _Soil Dyn. Earthg. Eng._**2019**, _122_, 185-195. [CrossRef]
* [PERSON] et al. (2019) [PERSON]; [PERSON]; [PERSON]; [PERSON]; [PERSON] Vertically Dynamic Response of an End-Bearing Pile Embedded in a Frozen Saturated Porous Medium under Impact Loading. _Shock Vib._**2019**, _2019_, 8983128. [CrossRef]
* [PERSON] et al. (2020) [PERSON]; [PERSON]; [PERSON]; [PERSON] Vertical vibration of a pile in a double-layered stratum under the freezing and thawing processes of saturated porous media. _Cold Reg. Sci. Technol._**2020**, _169_, 102891. [CrossRef]
* [PERSON] and [PERSON] (2020) [PERSON]; [PERSON] Study on the Dynamic Soil-Pile-Structure Interactive Behavior in Liquefiable Sand by 3D Numerical Simulation. _Appl. Sci._**2020**, _10_, 2723. [CrossRef]
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* [PERSON] and [PERSON] (2009) [PERSON]; [PERSON] Dynamic vertical response of model piles--Experimental and analytical investigations. _Int. J. Geotech. Eng._**2009**, \(3\), 271-287. [CrossRef]
* [PERSON] and [PERSON] (2010) [PERSON]; [PERSON] Dynamic nonlinear response of pile foundations under vertical vibration--Theory versus experiment. _Soil Dyn. Earthg. Eng._**2010**, _30_, 456-469. [CrossRef]
* [PERSON] et al. (2017) [PERSON]; [PERSON]; [PERSON] Experimental and theoretical study on the nonlinear response of full-scale single pile under coupled vibrations. _Soil Dyn. Earthg. Eng._**2017**, _94_, 109-115. [CrossRef]
* [PERSON] and [PERSON] (2013) [PERSON]; [PERSON] [PERSON] Dynamic response of vertically loaded helical and driven steel piles. _Can. Geotech. J._**2013**, _50_, 521-535. [CrossRef]
* [PERSON] and [PERSON] (2021) [PERSON]; [PERSON]; [PERSON] Field testing of single instrumented steel driven batter piles under vertical vibrations.