地震期刊库 地震书目库 龙门山专辑 英文篇名：Holonomic calculation of Rayleigh dispersion curves for pavement systems中文刊名：中南大学学报(自然科学版)英文刊名：Journal of Central South University(Science and Technology)作者：杨天春 ; 何继善 ; 鲁光银 ; 朱自强英文作者：YANG Tianchun1 ; HE Jishan2 ; LU Guangyin2 ; ZHU Ziqiang2(1.College of Civil Engineering ; Hunan University of Science and Technology ; Xiangtan 411201 ; China ; 2.School of Geosciences and Info-Physics ; Central South University ; Changsha 410083 ; China)中文关键词：瑞利波 ; 频散 ; 道路 ; 数值溢出 ; 附加层法英文关键词：Rayleigh wave ; dispersion ; pavement ; numerical overflow ; appending layer method出版日期：2013-02-26机构：湖南科技大学土木工程学院;中南大学地球科学与信息物理学院;年：2013期：02出版单位：中南大学学报(自然科学版)

How to obtain the whole dispersion curves of Rayleigh waves for pavement systems in real domain was discussed.A new method,namely,appending layer method based on the past research was proposed.The last layer’s thickness of original model was supposed finite,and an infinite half space was added with the original model,and the adding layer’s characteristics were the same as the surface layer.Then,a complex domain problem was translated into a real domain problem.So,multimode dispersion curves could be obtained by Rayleigh waves’ equation and bisection method.The last layer’s thickness of original model was chosen to be very big when appending layer method was used.So,numerical overflow in high frequencies would appear.The characteristics of bisection method to avoid numerical overflow in transmission matrix approach were utilized.When an intermediate calculating value was very big,a small finite value would substitute it,and the sign of original calculating results would not be altered.The Rayleigh dispersion curves of two models were calculated.According to the modeling results,the guided wave curves of original model are consistent with the appending layer methods’.And phase velocity curves of Rayleigh leaky mode waves are also calculated in high frequency by appending layer method.All of these prove that appending layer method and disposition of numerical overflow are correct and feasible.

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