| 层状分数阶黏弹性饱和地基与梁共同作用的时效研究 |
| |
| 引用本文： | 艾智勇,王禾,慕金晶. 层状分数阶黏弹性饱和地基与梁共同作用的时效研究[J]. 力学学报, 2021, 53(5): 1402-1411. DOI: 10.6052/0459-1879-20-447 |
| |
| 作者姓名： | 艾智勇 王禾 慕金晶 |
| |
| 作者单位： | 同济大学地下建筑与工程系,岩土及地下工程教育部重点实验室,上海200092 |
| |
| 基金项目： | 1)国家自然科学基金(41672275) |
| |
| 摘 要： | 饱和地基与梁共同作用问题的研究在力学领域及工程界都具有重要意义.采用分数阶Merchant模型研究饱和地基的流变固结,该模型比常用整数阶黏弹性模型更能精确反映地基的时变特征.基于层状正交各向异性黏弹性饱和地基的固结解答,采用有限元法与边界元法耦合的方法,研究梁与分数阶黏弹性饱和地基的共同作用问题.依据Timoshenk...
|
| 关 键 词： | 黏弹性,层状饱和地基 Timoshenko梁,有限元-边界元耦合,时效性 |
| 收稿时间： | 2020-12-23 |
TIME-DEPENDENT ANALYSIS OF THE INTERACTION BETWEEN MULTILAYERED FRACTIONAL VISCOELASTIC SATURATED SOILS AND BEAMS |
| |
| Affiliation: | Department of Geotechnical Engineering, Key Laboratory of Geotechnical and Underground Engineering of Ministry of Education, Tongji University, Shanghai 200092, China |
| |
| Abstract: | The study of the interaction between beams and saturated soils is of great significance in both mechanics and engineering fields. In this paper, the fractional Merchant model is adopted to solve the rheological consolidation of saturated soils, which can simulate the time-depending characteristics of the soils more accurately than the common integer order viscoelastic models. Based on the solution of consolidation for multilayered cross-anisotropic viscoelastic saturated soils, the finite element method (FEM) and the boundary element method (BEM) are coupled to investigate the interaction between beams and fractional viscoelastic saturated soils. The beam is discretized into a number of elements according to the Timoshenko beam theory, and then the global stiffness matrix equation of the beam is obtained. The precise integration solution of the viscoelastic soils is considered as the kernel function of the boundary integral, and the flexibility matrix equation of soils is established by the BEM. Finally, by coupling the FEM and the BEM, the solution of the interaction between multilayered fractional viscoelastic saturated soils and the Timoshenko beam is derived by introducing the displacement coordination condition and equilibrium condition for forces between them. The soil model adopted in this study is degenerated into the Kelvin model, and the results obtained are compared with those in the existing literature, which shows a good consistency. On this basis, the effects of the fractional order and stratification of soils on the interaction between beams and viscoelastic soils are discussed. Numerical results show that: the consolidation velocity of viscoelastic saturated soils with higher fractional order is obviously faster; for layered soils, the reinforcement of topsoil can effectively control the ground settlement and reduce the differential settlement. In practical engineering, the effects of rheology of saturated soils and soil stratification should be well considered to analyze the interaction between beams and soils more accurately. |
| |
| Keywords: | |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
| 点击此处可从《力学学报》浏览原始摘要信息 |
|
点击此处可从《力学学报》下载全文 |
|
