双层模型中不均匀层中爱波的分数阻尼效应

IF 1.2 4区 数学 Q2 MATHEMATICS, APPLIED
Sadia Munir, Ashfaque H. Bokhari, F. D. Zaman, Hamza Hameed
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引用次数: 0

摘要

本研究探讨了爱波在双层模型中的传播,双层模型由带阻尼的非均质各向同性上层、覆盖均质下层和均质半空间组成。为了更灵活地测量阻尼,在上层使用卡普托导数引入了分数阻尼。利用拉普拉斯变换和格林函数法推导上层在变换平面内的位移。使用 Stehfest 算法对反拉普拉斯变换进行了数值计算,并通过数值模拟和图表说明介绍了计算结果。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

Effects of Fractional Damping of Love Waves in an Inhomogeneous Layer in Double Layer Model

Effects of Fractional Damping of Love Waves in an Inhomogeneous Layer in Double Layer Model

This study examines the propagation of Love waves in two layer model, consisting of an inhomogeneous isotropic upper layer with damping, overlying a homogeneous lower layer and a homogeneous half-space. To provide a more flexible measure of damping, fractional damping is introduced in the upper layer using Caputo derivative. The Laplace transform and Green’s function approach are employed to derive the displacement in the upper layer in transformed plane. The inverse Laplace transform is computed numerically using Stehfest’s algorithm and results are presented through numerical simulations and graphical illustrations.

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来源期刊
Acta Applicandae Mathematicae
Acta Applicandae Mathematicae 数学-应用数学
CiteScore
2.80
自引率
6.20%
发文量
77
审稿时长
16.2 months
期刊介绍: Acta Applicandae Mathematicae is devoted to the art and techniques of applying mathematics and the development of new, applicable mathematical methods. Covering a large spectrum from modeling to qualitative analysis and computational methods, Acta Applicandae Mathematicae contains papers on different aspects of the relationship between theory and applications, ranging from descriptive papers on actual applications meeting contemporary mathematical standards to proofs of new and deep theorems in applied mathematics.
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