Nonstationary Bending Waves in an Anisotropic Timoshenko Plate on an Elastic-Inertial Foundation

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

Radiophysics and Quantum Electronics Pub Date : 2024-09-30 DOI:10.1007/s11141-024-10331-w

D. O. Serdyuk, G. V. Fedotenkov

引用次数: 0

Abstract

We consider the problem of nonstationary strains of an infinite anisotropic Timoshenko plate on an elastic-inertial foundation. A monoclinic symmetry type of an elastic medium, which is characterized by one plane of symmetry, is adopted as a model of anisotropy. Analytical methods are used to construct new fundamental solutions for the nonstationary normal displacement and deflection angles. The Laplace and Fourier integral transforms are used to find fundamental solutions, which serve as the basis for obtaining the integral relations for studies of nonstationary bending waves in a plate under the influence of sets of lumped and distributed loads. An example of the calculations is presented.

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弹性惯性地基上各向异性季莫申科板中的非稳态弯曲波

我们考虑的是弹性惯性基础上的无限各向异性季莫申科板的非稳态应变问题。我们采用单斜对称型弹性介质作为各向异性模型，这种介质的特点是只有一个对称平面。分析方法用于构建非稳态法向位移和挠度角的新基本解。利用拉普拉斯积分变换和傅立叶积分变换找到基本解，并以此为基础获得积分关系，用于研究板在集合荷载和分布荷载影响下的非稳态弯曲波。本文介绍了一个计算实例。

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.