热弹性几何不规则板的动力学，S.P. Timoshenko，肋对称加固

IF 0.6 4区工程技术 Q4 MECHANICS

Mechanics of Solids Pub Date : 2025-03-18 DOI:10.1134/S002565442460661X

V. V. Myltsin, O. A. Myltsina, D. K. Andreychenko, I. V. Papkova

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引用次数: 0

摘要

本文建立了加筋预热正交各向异性板振动的数学模型。本文基于几何不规则板的连续统模型。方程、边界和初始条件由Ostrogradsky-Hamilton变分原理导出。采用了S.P. Timoshenko的运动学假设。分析了不同几何参数和热力学参数下平板振动的固有频率。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Dynamics of Thermoelastic Geometric Irregular Plate S.P. Timoshenko, Symmetrically Strengthened by Ribs

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Dynamics of Thermoelastic Geometric Irregular Plate S.P. Timoshenko, Symmetrically Strengthened by Ribs

The paper presents a mathematical model of oscillations of a preheated orthotropic plate reinforced with stiffeners. The paper is based on a continuum model of a geometrically irregular plate. Equations, boundary and initial conditions are derived from the Ostrogradsky-Hamilton variational principle. The kinematic hypothesis of S.P. Timoshenko is used. The analysis of the natural frequencies of plate oscillations is performed for various geometric and thermomechanical parameters.

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来源期刊

Mechanics of Solids 医学-力学

CiteScore

1.20

自引率

42.90%

发文量

112

审稿时长

6-12 weeks

期刊介绍： Mechanics of Solids publishes articles in the general areas of dynamics of particles and rigid bodies and the mechanics of deformable solids. The journal has a goal of being a comprehensive record of up-to-the-minute research results. The journal coverage is vibration of discrete and continuous systems; stability and optimization of mechanical systems; automatic control theory; dynamics of multiple body systems; elasticity, viscoelasticity and plasticity; mechanics of composite materials; theory of structures and structural stability; wave propagation and impact of solids; fracture mechanics; micromechanics of solids; mechanics of granular and geological materials; structure-fluid interaction; mechanical behavior of materials; gyroscopes and navigation systems; and nanomechanics. Most of the articles in the journal are theoretical and analytical. They present a blend of basic mechanics theory with analysis of contemporary technological problems.