.png){kind=icon}
返回
Numerical method for nonlinear complex eigenvalues problems depending on two parameters: Application to three-layered viscoelastic composite structures
.png){kind=icon}
PRE
AI
DOI：10.1080/15376494.2017.1286418.png)
.png){kind=icon}
原文求助.png){kind=icon}
分享.png){kind=icon}
收藏
摘要
En 中文
The design of high-damping composite viscoelastic sandwich structures (CVSS) requires continuous study of damping properties according to some parameters. The common design parameters that directly affect the damping properties of CVSS are the fibers' orientation and the thicknesses of the composite layers. However, until now there has been no method for continuously studying the influences of any design parameter on the damping properties of CVSS. Also, to study the influence of a design parameter on the damping properties of CVSS, computations are made for various discrete values of this parameter. These calculations are qualified incrementally, and are very expensive in computation time and do not allow to follow continuously the effects of the parameter on the damping properties of CVSS. In order to tackle these problems, we propose in this article a numerical method for studying the damping properties variation of CVSS according to a chosen modeling parameter, through the resolution of a generic, residual, complex nonlinear eigenvalues problems having frequency dependence and a modeling parameter that describes a study interval. This method is based on the asymptotic numerical method, automatic differentiation, homotopy technique and continuation. An application is performed to study the variation of the damping properties of a three-layered symmetric viscoelastic sandwich plates according to the fibers orientation of their orthotropic faces layers.
Keyword:
Nonlinear eigenvalue problem
asymptotic numerical method
automatic differentiation
homotopy
continuation
viscoelastic structures
AI总结
对已上传原文的论文进行重点信息的提取，主要内容包括：简要概述、研究摘要、背景介绍、关键亮点、图文解析、展望与总结。
期刊
IF:
0
论文数:
4.7K
被引数:
1.4W
机构
引用论文
A generic approach for the solution of nonlinear residual equations. Part I: The Diamant toolbox
.png){kind=icon}
PREAI
分享收藏分享收藏
查看更多内容