Temperature Influence on Non-Linear Harmonic Vibrations of Plates Made of Viscoelastic Materials

Q2 Engineering

Engineering Transactions Pub Date : 2020-03-26 DOI:10.24423/ENG.TRANS.1114.20200326

Przemysław Litewka, R. Lewandowski

引用次数: 1

Abstract

This paper is devoted to the analysis of ambient temperature influence on harmonic vibrations of von Karman geometrically non-linear plates. The time-temperature superposition and the Williams-Landel-Ferry formula for the horizontal shift are used to modify the viscosity properties in the fractional Zener material model of viscoelasticity. The non-linear amplitude equation is obtained from the time-averaged principle of virtual work and the harmonic balance method. It is then solved after the finite element (FE) discretization using the continuation method to get the response curves in the frequency domain. Several numerical examples are solved and a significant influence of temperature on the resonance properties of the analysed plates is observed.

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温度对粘弹性材料板非线性谐波振动的影响

本文致力于分析环境温度对von Karman几何非线性板的谐波振动的影响。利用时间-温度叠加和水平位移的Williams-Landel-Ferry公式对粘弹性分数Zener材料模型中的粘度特性进行了修正。根据虚功时间平均原理和谐波平衡法，得到了非线性振幅方程。然后在有限元离散化后，使用延拓法对其进行求解，以获得频域中的响应曲线。求解了几个数值算例，观察到温度对所分析板的共振特性的显著影响。

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

Engineering Transactions Engineering-Engineering (all)

CiteScore

1.40

自引率

0.00%

发文量

期刊介绍： Engineering Transactions (formerly Rozprawy Inżynierskie) is a refereed international journal founded in 1952. The journal promotes research and practice in engineering science and provides a forum for interdisciplinary publications combining mechanics with: Material science, Mechatronics, Biomechanics and Biotechnologies, Environmental science, Photonics, Information technologies, Other engineering applications. The journal publishes original papers covering a broad area of research activities including: experimental and hybrid techniques, analytical and numerical approaches. Review articles and special issues are also welcome. Following long tradition, all articles are peer reviewed and our expert referees ensure that the papers accepted for publication comply with high scientific standards. Engineering Transactions is a quarterly journal intended to be interesting and useful for the researchers and practitioners in academic and industrial communities.