Temperature influence on non-linear harmonic vibrations of plates made of viscoelastic materials

被引：0

作者：

Litewka P. ^{[1
]}

Lewandowski R. ^{[1
]}

机构：

[1] Institute of Structural Analysis, Poznan University of Technology, Piotrowo 5, Poznań

来源：

Engineering Transactions | 2020年 / 68卷 / 02期

关键词：

Fractional Zener material; Harmonic vibrations; Time-temperature superposition; Von Kármán plates;

D O I：

10.24423/EngTrans.1114.20200326

中图分类号：

学科分类号：

摘要：

This paper is devoted to the analysis of ambient temperature influence on harmonic vibrations of von Kármán 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. © 2020, Polish Academy of Sciences. All rights reserved.

引用

页码：159 / 176

页数：17

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