G-type dispersion equation under suppressed rigid boundary: analytic approach

doi:10.1007/s10483-016-2048-9

Applied Mathematics and Mechanics (English Edition) ›› 2016, Vol. 37 ›› Issue (4): 501-512.doi: https://doi.org/10.1007/s10483-016-2048-9

G-type dispersion equation under suppressed rigid boundary: analytic approach

S. K. VISHWAKARMA^1,2, Runzhang XU³

1. College of Automation, Harbin Engineering University, Harbin 150001, China;
2. Department of Mathematics, Birla Institute of Technology and Science(BITS), Pilani, Hyderabad Campus, Hyderabad 500078, India;
3. College of Science, Harbin Engineering University, Harbin 150001, China

收稿日期:2015-01-12 修回日期:2015-10-28 出版日期:2016-04-01 发布日期:2016-04-01
通讯作者: S. K. VISHWAKARMA E-mail:sumitkumar@hyderabad.bits-pilani.ac.in
基金资助:
Project supported by the National Natural Science Foundation of China (No. 11471087), the China Postdoctoral Science Foundation (No. 2013M540270), the Heilongjiang Postdoctoral Foundation (No. LBH-Z13056), the Support Plan for the Young College Academic Backbone of Heilongjiang Province (No. 1252G020), and the Fundamental Research Funds for the Central Universities

G-type dispersion equation under suppressed rigid boundary:analytic approach

S. K. VISHWAKARMA^1,2, Runzhang XU³

1. College of Automation, Harbin Engineering University, Harbin 150001, China;
2. Department of Mathematics, Birla Institute of Technology and Science(BITS), Pilani, Hyderabad Campus, Hyderabad 500078, India;
3. College of Science, Harbin Engineering University, Harbin 150001, China

Received:2015-01-12 Revised:2015-10-28 Online:2016-04-01 Published:2016-04-01
Contact: S. K. VISHWAKARMA E-mail:sumitkumar@hyderabad.bits-pilani.ac.in
Supported by:
Project supported by the National Natural Science Foundation of China (No. 11471087), the China Postdoctoral Science Foundation (No. 2013M540270), the Heilongjiang Postdoctoral Foundation (No. LBH-Z13056), the Support Plan for the Young College Academic Backbone of Heilongjiang Province (No. 1252G020), and the Fundamental Research Funds for the Central Universities

摘要/Abstract

摘要：

This paper studies dispersion of a G-type earthquake wave under the influence of a suppressed rigid boundary. Inside the Earth, the density and rigidity of the crustal layer and the mantle of the Earth vary exponentially and periodically along the depth. The displacements of the wave are found in the individual medium followed by a dispersion equation using a suitable analytic approach and a boundary condition. The prominent effect of inhomogeneity contained in the media, the rigid boundary plane, and the initial stress on the phase and group velocities is shown graphically.

关键词: dispersion equation, rigid boundary, analytic approach, group velocity, G-type wave

Abstract:

Key words: analytic approach, rigid boundary, G-type wave, dispersion equation, group velocity

中图分类号:

74J15

S. K. VISHWAKARMA, Runzhang XU. G-type dispersion equation under suppressed rigid boundary: analytic approach[J]. Applied Mathematics and Mechanics (English Edition), 2016, 37(4): 501-512.

S. K. VISHWAKARMA, Runzhang XU. G-type dispersion equation under suppressed rigid boundary:analytic approach[J]. Applied Mathematics and Mechanics (English Edition), 2016, 37(4): 501-512.

参考文献

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G-type dispersion equation under suppressed rigid boundary: analytic approach

G-type dispersion equation under suppressed rigid boundary:analytic approach

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