1:2 PARAMETRIC RESONANCE OF MICRO-BEAN SYSTEM SUBJECTED TO NARROW-BAND RANDOM EXCITATION

YANG ZhiAn; ZHAO KaiYuan

doi:10.16579/j.issn.1001.9669.2017.05.013

您当前的位置：

首页 >

文章列表页 >

1:2 PARAMETRIC RESONANCE OF MICRO-BEAN SYSTEM SUBJECTED TO NARROW-BAND RANDOM EXCITATION

更新时间：2022-09-22

- 1:2 PARAMETRIC RESONANCE OF MICRO-BEAN SYSTEM SUBJECTED TO NARROW-BAND RANDOM EXCITATION
- Journal of Mechanical Strength Vol. 39, Issue 5, Pages: 1066-1071(2017)
- 作者机构：
  
  1. 唐山学院唐山市机构与振动工程重点实验室
  2. 华北理工大学机械工程学院
- 作者简介：
- 基金信息：
- DOI：10.16579/j.issn.1001.9669.2017.05.013
  CLC：
扫描看全文
YANG ZhiAn, ZHAO KaiYuan. 1:2 PARAMETRIC RESONANCE OF MICRO-BEAN SYSTEM SUBJECTED TO NARROW-BAND RANDOM EXCITATION. [J]. 39(5):1066-1071(2017)
DOI：

YANG ZhiAn, ZHAO KaiYuan. 1:2 PARAMETRIC RESONANCE OF MICRO-BEAN SYSTEM SUBJECTED TO NARROW-BAND RANDOM EXCITATION. [J]. 39(5):1066-1071(2017) DOI： 10.16579/j.issn.1001.9669.2017.05.013.

摘要

研究电路与微梁耦合系统在有界窄带激励下的参数共振问题。建立有界窄带激励下微梁系统的随机微分方程。应用多尺度法得到系统参数共振的频率响应方程,导出系统的Ito随机微分方程,采用矩法得到系统一阶矩和二阶矩的近似表达式,数值分析系统各个参数对微梁响应的影响。结果表明,参数共振稳态解稳定的充分必要条件与系统一阶矩和二阶矩稳定的充分必要条件是一样的;当微梁上极板的宽度、厚度和长度增加时,极板振幅的二阶矩减小;当上极板的阻尼系数、轴向力以及上下极板间的距离增加时,极板振幅的二阶矩增大。

Abstract

To study the parametric resonance of series circuit and micro-beam coupling system subjected to the narrow-band random excitation, the stochastic differential equation of the micro-beam system subjected to narrow-band excitation is established. The frequency response equation of the system is obtained based on the method of multiple scales. Ito stochastic differential equation of system is derived. The first order and second order steady state response of the system are obtained and the corresponding to the amplitude-frequency curves are calculated. The influence of the system parameters on the response of the micro-beam is analyzed. The results show that the sufficient and necessary conditions for the stability of the parametric resonance are the same as the first order and second order moment stability of the system. The numerical simulation shows that with the increase of the width,thickness and length of the plate,the second order response of the plate amplitude is decreased. When the damping coefficient,the axial force and the distance between the two plates are increased,the second order response of the plate amplitude is increased.

关键词

微梁参数共振多尺度法非线性窄带激励

Keywords

Micro-beamParametric resonanceThe method of multiple scalesNonlinear systemNarrow-band random excitation

references

Views

下载量

CSCD

Alert me when the article has been cited

提交

Tools

Publicity Resources

RESEARCH ON NONLINEAR VIBRATION FOR ELECTRICALLY ACTUATED SINGLE-WALLED CARBON NANOTUBE

PRINCIPAL-INTERNAL RESONANCE OF AN AXIALLY MOVING THIN PLATE SUBJECTED TO DOUBLE LINE LOADS

Related Author

No data

Related Institution

Key Laboratory of Structure and Vibration of Tangshan College,Tangshan College

College of Mechanical Engineering,Hebei United University

School of Civil Engineering and Mechanics, Yanshan University

Hebei Key Laboratory of Mechanical Reliability for Heavy Equipment and Large Structures,Yanshan University

⁰