轴对称荷载作用下层状黏弹性体系的解析层元解  

Solution of analytical layer element for visco-elastic multilayered system under axisymmetrical loading

作　　者：艾智勇[1] 刘鹏[1] 成怡冲[1] 

机构地区：[1]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

出　　处：《中国科技论文在线》2011年第11期792-796,共5页

基　　金：国家自然科学基金资助项目(50578121)

摘　　要：基于弹性力学空间轴对称问题的位移方程及物理方程,运用Laplace-Hankel变换,并结合相应黏弹性模型,推导出单层黏弹性介质的解析层元解;对各层的解析层元进行组装得到多层黏弹性体系总刚度矩阵,对其求解得到相应的位移解。根据该理论编制相应程序,得到的结果与已有文献的结果吻合较好,验证了该理论的正确性,同时研究了黏弹性系数对路基沉降的影响,结果表明,随着黏弹性系数的增加,路基达到最终沉降的时间会逐渐增长,但沉降的最终值不改变。Based on the Lame equations and physical equations of axisymmetrical problems in elasticity,and combining the viscoelastic model,the analytical layer element solution of single visco-elastic media is derived by using the Laplace-Hankel transform,then the global stiffness matrix of multilayered system was assembled by finite layer method,we got the solution of displacements by solving the equations of global stiffness matrix.Based on the given theory,numerical analysis is carried out,and the results fit very well with the results in reference,showing that the theory is reasonable,the influence of viscosity to the settlement of subgrade is studied,and the result shows that the time to reach the final settlement grows with the growing of viscosity,but the final settlement does not change.

关 键 词：轴对称荷载 层状体系 黏弹性 解析层元法 

分 类 号：U416.0[交通运输工程—道路与铁道工程]