基于分数阶标准线固体模型的粘弹性薄板力-热耦合蠕变屈曲分析
Mechanical-Thermal Coupling Creep Buckling Analysis of Viscoelastic Thin Plates Based on Fractional Order Standard Linear Solid Model
茆武 1陈衍茂 1刘济科 1刘奇贤1
作者信息
- 1. 中山大学航空航天学院力学系,中山大学·深圳,518107
- 折叠
摘要
分数阶本构模型以其较少的参数和更清晰的物理意义,在很多领域中展现出了比传统整数阶模型更优的适用性.本研究采纳了分数阶标准线固体模型,旨在深入探讨粘弹性薄板在力-热耦合作用下的线性蠕变屈曲特性.为了确保数值分析的准确性,本研究采用了Hermite型径向基函数无网格方法(HRBF),其计算结果经过验证,展现出了高度精确性.研究结果显示,分数阶粘弹性薄板的稳定性对时间具有显著依赖性,具体表现为随着时间推进,薄板的临界载荷和临界温度均呈现下降趋势,后屈曲的变形位移则不断增加.
Abstract
The fractional-order constitutive model traditional integer-order model in fields due to its fe-wer parameters and clearer physical meaning.In this study,the fractional-order standard linear solid mod-el is adopted to deeply explore the linear creep buckling characteristics of viscoelastic thin plates under the force-coupling effect.To ensure the accuracy of numerical analysis,the Hermite-type radial basis function(HRBF)is used in this study.The calculation results high accuracy.that the stability of fractional-order viscoelastic thin plates significant time.Specifically,as time progresses,both the critical load and critical temperature of the thin plate show a downward trend,while the deformation displacement after buckling continuously increases.
关键词
HRBF型无网格法/分数阶标准线固体模型/力热耦合/粘弹性薄板/屈曲分析Key words
HRBF meshless method/fractionalorder standard linear solid model/force-heat cou-pling/viscoelastic thin plates/buckling analysis引用本文复制引用
出版年
2024
NETL
NSTL
万方数据