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机构地区:[1]Key Laboratory of Soft Soils and Geoenvironmental Engineering, Ministry of Education [2] Department of Civil Engineering, Zhejiang University, Hangzhou 310027, China
出 处:《Acta Mechanica Solida Sinica》2008年第6期500-506,共7页固体力学学报(英文版)
基 金:supported by the National Natural Science Foundation of China(Nos.10725210,10832009 and 10432030);the Specialized Research Fund for the Doctoral Program of Higher Education(No.20060335107);the Program for New Century Excellent Talents in University(No.NCET-05-05010).
摘 要:The method of reverberation-ray matrix (MRRM) is extended and modified for the analysis of free wave propagation in anisotropic layered elastic media. A general, numerically stable formulation is established within the state space framework. The compatibility of physical variables in local dual coordinates gives the phase relation, from which exponentially growing functions are excluded. The interface and boundary conditions lead to the scattering relation, which avoids matrix inversion operation. Numerical examples are given to show the high accuracy of the present MRRM.The method of reverberation-ray matrix (MRRM) is extended and modified for the analysis of free wave propagation in anisotropic layered elastic media. A general, numerically stable formulation is established within the state space framework. The compatibility of physical variables in local dual coordinates gives the phase relation, from which exponentially growing functions are excluded. The interface and boundary conditions lead to the scattering relation, which avoids matrix inversion operation. Numerical examples are given to show the high accuracy of the present MRRM.
关 键 词:anisotropic layered media the method of reverberation-ray matrix elastic waves dispersion characteristic
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