Analytical solution for thermoelastic response of a thin plate subjected to temperature shock

IF 6.4 2区工程技术 Q1 MECHANICS

International Communications in Heat and Mass Transfer Pub Date : 2025-09-28 DOI:10.1016/j.icheatmasstransfer.2025.109737

Andry Sedelnikov, Maksim Evtushenko, Aleksandra Marshalkina

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Abstract

This paper presents an analytical solution for the dynamic deflection field of a homogeneous thin plate under a temperature shock. The solution is derived by solving a one-dimensional heat conduction problem with mixed initial-boundary conditions (incorporating second and third kind boundary conditions), followed by the corresponding thermoelasticity problem. Fourier's law governs the heat transfer analysis. The thermoelastic response is formulated using the Sophie Germain equation, augmented by an inertial term. The plate exhibits constant thermophysical properties, with one edge rigidly clamped and the remaining three edges free. The objectives are to obtain an analytical solution and analyze its utility for practical applications. This solution will provide practical advantages - for example, in developing laws for controlling the angular motion of a small spacecraft taking into account the temperature shock of solar panels. The results are applicable to characterizing dynamic disturbances induced by temperature shock in spacecraft solar array panels.

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温度冲击作用下薄板热弹性响应的解析解

本文给出了均匀薄板在温度冲击作用下的动态挠度场的解析解。通过求解具有混合初始边界条件（包含第二类和第三类边界条件）的一维热传导问题，推导出相应的热弹性问题的解。傅里叶定律支配着传热分析。热弹性响应是用索菲·热尔曼方程来表示的，并增加了一个惯性项。该板具有恒定的热物理性质，其中一个边缘是刚性夹紧的，其余三个边缘是自由的。目标是获得一个解析解，并分析其在实际应用中的效用。这种解决方案将具有实际的优势——例如，在考虑太阳能电池板温度冲击的情况下，开发控制小型航天器角运动的规律。研究结果可用于表征航天器太阳帆板温度冲击引起的动态扰动。

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

International Communications in Heat and Mass Transfer 工程技术-力学

CiteScore

11.00

自引率

10.00%

发文量

648

审稿时长

32 days

期刊介绍： International Communications in Heat and Mass Transfer serves as a world forum for the rapid dissemination of new ideas, new measurement techniques, preliminary findings of ongoing investigations, discussions, and criticisms in the field of heat and mass transfer. Two types of manuscript will be considered for publication: communications (short reports of new work or discussions of work which has already been published) and summaries (abstracts of reports, theses or manuscripts which are too long for publication in full). Together with its companion publication, International Journal of Heat and Mass Transfer, with which it shares the same Board of Editors, this journal is read by research workers and engineers throughout the world.