一种分析膜面在积水荷载作用下响应的数值模型

doi:10.16183/j.cnki.jsjtu.2021.152

摘要/Abstract

摘要：

结合光滑粒子流体动力学(SPH)方法和膜材非线性本构,提出了一种分析膜面在积水荷载作用下响应的数值模型.通过不同应力比的双轴拉伸试验得到膜材的应力-应变响应面,建立膜材的非线性本构模型,并使用SPH粒子模拟水,建立膜面与水的流固耦合数值模型.通过网格收敛性分析确定了文中采用的网格尺寸,分析了加载时长对计算结果的影响.同时分析了膜面的应力和应变的分布规律.结果表明,加载过程随加载时长的增加越来越稳定,且100 s能满足分析需求.将数值模拟结果与平膜积水试验结果进行比较,膜面的最大竖向变形吻合较好,验证了所提方法的可靠性.

关键词: 膜, 积水, 光滑粒子流体动力学, 非线性本构, 数值模型

Abstract:

A numerical model to analyze the response of the membrane surface under ponding load is propesed which combines the smoothed particle hydrodynamics (SPH) method and the non-linear constitutive model of the membrane material. According to the stress-strain response surface of the membrane material based on the biaxial tensile test with different stress ratios, a nonlinear constitutive model is established. SPH particles are used to simulate water, and a numerical model of the fluid-solid coupling between the membrane surface and ponding load is established. The mesh size adopted in this paper is determined by verifying the mesh convergence, and the influence of the loading time on the calculation results is analyzed. At the same time, the distribution law of stress and strain of the membrane surface are analyzed. The results show that the loading process becomes increasingly stable with the increase of the loading time, and 100 s can meet the analysis requirements.The numerical simulation results are compared with those of the flat membrane ponding test. It is found that the maximum vertical deformation of the membrane surface is in good agreement, which verifies the reliability of the method proposed in this paper.

Key words: membrane, ponding water, smoothed particle hydrodynamics (SPH), nonlinear constitutive, numerical model

中图分类号:

TU358

王沙沙, 张翔宇, 邱国志, 龚景海. 一种分析膜面在积水荷载作用下响应的数值模型[J]. 上海交通大学学报, 2022, 56(6): 730-738.

WANG Shasha, ZHANG Xiangyu, QIU Guozhi, GONG Jinghai. A Numerical Model for Analysing Response of Membrane Surface Under Ponding Load[J]. Journal of Shanghai Jiao Tong University, 2022, 56(6): 730-738.

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方向	z	a	b	c	d	e
经向	5.18	309.81	83.61	1184.23	-169.8	-575.85
纬向	5.22	46.35	376.96	120.59	1188.5	-727.71

网格尺寸比例		σ_s/(kN·m^-1)	y_max/m
1∶	2	网格扭曲	网格扭曲
1∶	1	14.68	0.948
1.5∶	1	14.23	0.935
2∶	1	14.03	0.928
3∶	1	13.98	0.924

网格尺寸/m	σ_s/(kN·m^-1)	y_max/m
0.4	14.74	0.957
0.3	14.49	0.950
0.2	14.18	0.936
0.1	14.03	0.928
0.05	13.96	0.923