分段均匀体动态线性粘弹性问题的谱分解

IF 0.7 Q4 MECHANICS

Moscow University Mechanics Bulletin Pub Date : 2025-07-24 DOI:10.3103/S0027133025700128

S. G. Pshenichnov

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引用次数: 0

摘要

研究了分段均匀体的非平稳动态粘弹性问题。众所周知，在一定条件下，这类问题的解的构造可以简化为寻找自由振荡问题的特征值。考虑了谱集的性质，提出了一种谱集元素的搜索方法。采用理论方法研究了分段均匀粘弹性平面-平行层的非定常动力学问题。针对该层的一些具体参数，找出了光谱的元素，并对其过渡波过程进行了研究。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Spectral Decompositions in Dynamic Linear Viscoelasticity Problems for Piecewise Homogeneous Bodies

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Spectral Decompositions in Dynamic Linear Viscoelasticity Problems for Piecewise Homogeneous Bodies

The nonstationary dynamic viscoelasticity problem for a piecewise homogeneous body is considered. It is known that, under certain conditions, the construction of a solution to such a problem can be reduced to finding the eigenvalues of the free oscillation problem. The properties of a spectral set are considered, and a method for searching for its elements if proposed. The theoretical considerations are used to study the unsteady dynamics of a piecewise homogeneous viscoelastic plane-parallel layer. For some specific parameters of this layer, the elements of the spectrum are found, and, then, the transition wave process is studied.

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来源期刊

Moscow University Mechanics Bulletin MECHANICS-

CiteScore

0.60

自引率

0.00%

发文量

期刊介绍： Moscow University Mechanics Bulletin is the journal of scientific publications, reflecting the most important areas of mechanics at Lomonosov Moscow State University. The journal is dedicated to research in theoretical mechanics, applied mechanics and motion control, hydrodynamics, aeromechanics, gas and wave dynamics, theory of elasticity, theory of elasticity and mechanics of composites.