弹性地基双层梁理论下寒冷地区衬砌渠道冻胀力学模型

doi:10.13229/j.cnki.jdxbgxb.20240029

摘要/Abstract

摘要：

土壤的冻胀过程是非线性的，同时衬砌结构的受力变形也是非线性的。在冻胀力作用下，渠道的结构会发生非线性变形，包括弯曲、剪切和扭转等，在寒冷地区的渠道中尤为突出。因此，需要准确地模拟和分析冻胀过程。在此背景下，进行弹性地基双层梁理论下寒冷地区衬砌渠道冻胀力学模型研究。该研究对问题进行了合理简化和抽象，以便更好地建立数学模型，设置了基本假设。采用弹性地基双层梁理论的思路，可以将衬砌渠道简化为一个弹性双层梁结构并建立3个力学方程，即挠度方程、弯矩方程、剪力方程，以描述双层梁结构的变形。在边界条件下，利用有限元分析求解方程，根据求解结果完成寒冷地区衬砌渠道冻胀力学分析。实验结果表明：U型衬砌渠道的冻胀破坏多发生在两侧，且随着冻胀量的增加，衬砌渠道的挠度、弯矩逐渐增加，剪力逐渐下降，但当冻胀量增加到一定程度时，挠度、弯矩和剪力急剧下降。

关键词: 弹性地基双层梁理论, 寒冷地区, 衬砌渠道, 冻胀力学模型

Abstract:

The process of soil frost heave is nonlinear， and the stress deformation of the lining structure is also nonlinear. Under the action of frost heave force， the structure of the channel will undergo nonlinear deformation， including bending， shear， and torsion， which is particularly prominent in channels in cold regions. Therefore， it is necessary to accurately simulate and analyze the process of frost heave. In this context， a study is conducted on the frost heave mechanical model of lining channels in cold regions under the theory of double layered beams on elastic foundations. This study sets basic assumptions in order to simplify and abstract the problem in a reasonable manner， in order to better establish mathematical models. Using the theory of double layered beams on elastic foundations， the lining channel can be simplified into an elastic double layered beam structure and three mechanical equations， namely deflection equation， bending moment equation， and shear force equation， can be established to describe the deformation of the double layered beam structure. Under boundary conditions， use finite element analysis to solve equations and complete the mechanical analysis of frost heave in lining channels in cold regions based on the solution results. The experimental results show that the frost heave damage of U-shaped lined channels mostly occurs on both sides， and as the frost heave amount increases， the deflection and bending moment of the lined channel gradually increase， while the shear force gradually decreases. However， when the frost heave amount increases to a certain extent， the deflection， bending moment， and shear force sharply decrease.

Key words: theory of double layered beams on elastic foundations, cold regions, lined channels, frost heave mechanical model

中图分类号:

TP15.66

季日臣,张永磊. 弹性地基双层梁理论下寒冷地区衬砌渠道冻胀力学模型[J]. 吉林大学学报(工学版), 2025, 55(2): 673-680.

Ri-chen JI,Yong-lei ZHANG. Mechanical model of frost heave in lining channels in cold regions under the theory of double layered beams on elastic foundations[J]. Journal of Jilin University(Engineering and Technology Edition), 2025, 55(2): 673-680.

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参考文献 16

1	肖旻, 祝婉玲, 王正中, 等. 联合Winkler-Pasternak模型的冬季输水梯形渠道冻胀力学分析[J]. 农业工程学报, 2023, 39(10): 88-95.
	Xiao Min, Zhu Wan-ling, Wang Zheng-zhong, et al. Frost heave mechanical analysis of trapezoidal water conveyance channel in winter combined with Winkeler-Pasternak model[J]. Transactions of the Chinese Society of Agricultural Engineering, 2019, 39(10): 88-95.
2	刘健, 甄泽康, 赵文可,等.寒冷地区有机朗肯循环系统试验运行特性[J].江苏大学学报: 自然科学版,2022,43(5): 562-565.
	Liu Jian, Zhen Ze-kang, Zhao Wen-ke, et al. Experimental operation characteristics of organic Rankine circulation system in cold area[J]. Journal of Jiangsu University (Natural Science Edition),202,43(5): 562-565.
3	肖旻, 王正中, 吴浪, 等. 寒区预制混凝土衬砌梯形渠道弹性冻土地基梁模型[J].水利学报, 2023, 54(2):244-253.
	Xiao Min, Wang Zheng-zhong, Wu Lang, et al. Beam model of precast concrete lined trapezoidal channel on elastic frozen soil foundation in cold region[J]. Journal of Hydraulic Engineering,2023,54(2):244-253.
4	赵晓磊, 王红雨.考虑冻结力分布特征的两拼式渠道冻胀力学模型[J]. 人民黄河, 2022,44(1):149-154.
	Zhao Xiao-lei, Wang Hong-yu. A frost heave mechanical model of two-piece channel considering the distribution characteristics of freezing force[J]. Yellow River of the People,2022,44(1):149-154.
5	Liu Q, Wang Z, Li Z, et al. Transversely isotropic frost heave modeling with heat-moisture-deformation coupling[J]. Acta Geotechnica, 2020, 15(5): 1273-1287.
6	Liu J K, Tsaybel S, Liu X Q, et al. Experimental study on mechanical and frost heave behaviors of silty clay improved by polyvinyl alcohol and polypropylene fiber[J]. Research in Cold and Arid Regions, 2023, 15(2): 57-65.
7	张常光, 高本贤, 李天斌, 等.考虑位移释放的横观各向同性冻胀寒区隧道冻胀力弹塑性解答[J]. 岩土力学, 2021, 42(11): 2967-2976.
	Zhang Chang-guang, Gao Ben-xian, Li Tian-bin, et al. Elastoplastic solution of frost heave force in transverse-isotropic frost heave tunnel in cold region considering displacement release[J]. Journal of Rock and Soil Mechanics, 2018,42(11):2967-2976.
8	葛建锐, 牛永红, 王正中, 等. 考虑冰盖生消和冰-结构-冻土协同作用的渠道弹性地基梁模型[J]. 水利学报, 2021, 52(2): 215-228.
	Ge Jian-rui, Niu Yong-hong, Wang Zheng-zhong, et al. Tunnel elastic foundation beam model considering ice sheet generation and displacement and ice-structure-frozen soil synergism[J]. Journal of Hydraulic Engineering, 2019,52(2):215-228.
9	胡坤, 高兆国, 王少伟, 等. 某冻胀敏感性粉质黏土冻结过程物理力学特性试验[J]. 长江科学院院报, 2023, 40(8): 127-132.
	Hu Kun, Gao Zhao-guo, Wang Shao-wei, et al. Experiment on physical and mechanical properties of a frost heave-sensitive silty clay during freezing process[J]. Journal of Yangtze River Scientific Research Institute,2023,40(8): 127-132.
10	刘倩倩, 蔡国庆, 秦宇腾, 等.单向冻结条件下粗颗粒级配土的水热分布及冻胀特性研究[J]. 岩石力学与工程学报, 2023, 42(9): 2329-2340.
	Liu Qian-qian, Cai Guo-qing, Qin Yu-teng, et al. Hydrothermal distribution and frost heave characteristics of coarse granular graded soil under unidirectional freezing conditions[J]. Chinese Journal of Rock Mechanics and Engineering, 2023, 42(9): 2329-2340.
11	林德新. 浅埋高寒隧道围岩非均匀冻胀变形的力学响应[J].铁道工程学报, 2023, 40(2): 53-58.
	Lin De-xin. Mechanical response of non-uniform frost heave deformation in the surrounding rock of shallow buried alpine tunnel[J]. Journal of Railway Engineering, 2023, 40(2): 53-58.
12	郑新雨, 徐飞, 孙浩凯, 等. 寒区富水隧道冻结圈围岩冻胀力演化规律研究[J]. 中国公路学报, 2022, 35(9): 340-351.
	Zheng Xin-yu, Xu Fei, Sun Hao-kai, et al. Study on frost heave force evolution of surrounding rock in freezing zone of fushui tunnel in cold region[J]. China Journal of Highway and Transportation, 2022, 35(9): 340-351.
13	王维阳, 李伟, 曹奇凯. 复合材料加筋板轴压后屈曲及承载有限元分析[J]. 计算机仿真, 2022, 39(5): 474-479.
	Wang Wei-yang, Li Wei, Cao Qi-kai. Finite element analysis of buckling and bearing capacity of composite stiffened plates under axial compression[J]. Computer Simulation, 2022, 39(5): 474-479.
14	杨涛, 喻天龙, 姜海波. 北疆膨胀土渠道混凝土衬砌结构变形特性研究[J]. 水电能源科学, 2023, 41(2): 163-167.
	Yang Tao, Yu Tian-long, Jiang Hai-bo. Study on deformation characteristics of concrete lining structures of expansive soil channels in northern Xinjiang [J]. Journal of Hydropower Energy, 2023, 41(2):163-167.
15	彭伯伦, 江杰, 任浩熙, 等. 变速移动载荷作用下黏弹性地基梁动力响应[J].力学与实践, 2021, 43(6): 914-920.
	Peng Bo-lun, Jiang Jie, Ren Hao-xi, et al. Dynamic response of beams on viscoelastic foundation under variable speed moving loads[J]. Mechanics and Practice, 2021, 43(6): 914-920.
16	秦伟国. 分数阶Kelvin粘弹性地基受水平集中力作用的变形分析[J].应用力学学报,2021,38(5):2132-2136.
	Qin Wei-guo. Deformation analysis of fractional-order Kelvin viscoelastic foundation subjected to horizontal concentrated forces[J]. Chinese Journal of Applied Mechanics, 2019,38(5):2132-2136.

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类别	信息参数
结构形式	U型衬砌渠道
渠道尺寸	宽度：3 m、深度：1 m、长度：10 m
护坡高度	1 m
材料组成	包括混凝土、砖石、天然石板、土料、灰土、块石、塑料薄膜等
地质条件	地面坡度	42.6°
	土壤类型	红壤和黄壤
	岩石种类	由石英、长石和其他矿物质组成，其颗粒比粉砂岩更大，颜色通常为红色、黄色或灰色。
	地下水位	245.66 m
	含水层厚度	15.3 m
	渗透系数	0.25
	弹性模量	0.56

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