CAJ | 학술논문

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。
기우탄성역학공간축대칭문제적위이방정급물리방정,운용Laplace-Hankel변환,병결합상응점탄성모형,추도출단층점탄성개질적해석층원해;대각층적해석층원진행조장득도다층점탄성체계총강도구진,대기구해득도상응적위이해。근거해이론편제상응정서,득도적결과여이유문헌적결과문합교호,험증료해이론적정학성,동시연구료점탄성계수대로기침강적영향,결과표명,수착점탄성계수적증가,로기체도최종침강적시간회축점증장,단침강적최종치불개변。
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.