Longitudinal Waves in Structurally Inhomogeneous Viscoelastic Solids with a Quadratic–Bimodular Nonlinearity Decreasing with Increasing Frequency

IF 0.8 4区地球科学 Q4 ENGINEERING, ELECTRICAL & ELECTRONIC

Radiophysics and Quantum Electronics Pub Date : 2024-02-08 DOI:10.1007/s11141-024-10291-1

V. E. Nazarov, S. B. Kiyashko

引用次数: 0

Abstract

We study theoretically the propagation of longitudinal acoustic waves in structurally inhomogeneous viscoelastic solids with a quadratic–bimodular nonlinearity decreasing with increasing frequency. Exact solutions for stationary waves propagating without changing their shape are obtained. Analytical and numerical solutions for the evolution of an initially harmonic wave are presented, and the amplitude–frequency dependences of nonlinear effects in such media are revealed.

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具有随频率增加而减小的二次双模非线性的结构非均质粘弹性固体中的纵波

我们从理论上研究了纵向声波在结构非均质粘弹性固体中的传播，该固体具有随频率增加而减小的二次双模非线性。我们获得了静止波在不改变其形状的情况下传播的精确解。给出了初始谐波演变的分析和数值解，并揭示了非线性效应在此类介质中的幅频依赖关系。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Radiophysics and Quantum Electronics ENGINEERING, ELECTRICAL & ELECTRONIC-PHYSICS, APPLIED

CiteScore

1.10

自引率

12.50%

发文量

审稿时长

6-12 weeks

期刊介绍： Radiophysics and Quantum Electronics contains the most recent and best Russian research on topics such as: Radio astronomy; Plasma astrophysics; Ionospheric, atmospheric and oceanic physics; Radiowave propagation; Quantum radiophysics; Pphysics of oscillations and waves; Physics of plasmas; Statistical radiophysics; Electrodynamics; Vacuum and plasma electronics; Acoustics; Solid-state electronics. Radiophysics and Quantum Electronics is a translation of the Russian journal Izvestiya VUZ. Radiofizika, published by the Radiophysical Research Institute and N.I. Lobachevsky State University at Nizhnii Novgorod, Russia. The Russian volume-year is published in English beginning in April. All articles are peer-reviewed.