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桁架芯材夹芯板的非线性动力学分析与超正规形

Nonlinear dynamic analysis and hypernormal form of truss core sandwich plates.

作者信息

Li Jing, Guo Ziyu, Quan Yinzhu, Li Jian

机构信息

College of Applied Sciences, Beijing University of Technology, Beijing, P. R. China.

出版信息

J Appl Biomater Funct Mater. 2018 Jan;16(1_suppl):37-45. doi: 10.1177/2280800018757336.

Abstract

INTRODUCTION

Truss core material, which is a new type of ultra-light material with comprehensive properties, is used in the aerospace industry. The aim of this paper is to investigate the dynamic behavior of three-dimensional Kagome sandwich plates with truss core under transverse and in-plane excitation in the case of 1:1 internal resonance.

METHODS

Firstly, the averaged equation is obtained by means of the method of multiple scales. Then, the nonlinear system is analyzed applying the theory of normal form. Eventually, we analyze the dynamic behavior, mainly periodic motions, for the truss core sandwich panels by using numerical simulation.

RESULTS

Numerical results are presented here for the nonlinear dynamic behavior of the model of truss core sandwich plates, which provides theoretical guidance to vibration control.

CONCLUSIONS

Considerable insight has been gained concerning the sign of parameter of the model controlled by material property.

摘要

引言

桁架芯材是一种具有综合性能的新型超轻材料,应用于航空航天工业。本文的目的是研究在1:1内共振情况下,带有桁架芯的三维 Kagome 夹层板在横向和面内激励下的动力学行为。

方法

首先,通过多尺度法得到平均方程。然后,应用范式理论分析非线性系统。最后,利用数值模拟分析桁架芯夹层板的动力学行为,主要是周期运动。

结果

给出了桁架芯夹层板模型非线性动力学行为的数值结果,为振动控制提供了理论指导。

结论

对于由材料特性控制的模型参数的符号,已经有了相当深入的了解。

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