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有界窄带激励柴油机轴系扭振系统主参数共振

杨志安 卞雅媛

噪声与振动控制2016,Vol.36Issue(6):77-81,5.
噪声与振动控制2016,Vol.36Issue(6):77-81,5.DOI:10.3969/j.issn.1006-1335.2016.06.015

有界窄带激励柴油机轴系扭振系统主参数共振

Primary Parametric Resonance of Shafting Torsional Vibration System of the Diesel Engine Subjected to Narrow-band Random Excitation

杨志安 1卞雅媛2

作者信息

  • 1. 唐山学院 唐山市结构与振动工程重点实验室,河北 唐山 063000
  • 2. 华北理工大学 机械工程学院,河北 唐山 063000
  • 折叠

摘要

Abstract

The primary parameters resonance and stability problems of strong nonlinear torsional vibration of the diesel engine shafting system under narrow-band excitation are investigated. The frequency response equation of the system is obtained based on the modified multi-scale method and the corresponding Ito stochastic differential equation is derived. By means of the moment method, the approximate expression of the mean-square response of the system is obtained and the influence of the system parameters on the mean square value of the primary parametric resonance is analyzed. The results show that the sufficient and necessary conditions for the stability of primary parametric resonance are the same as those of the second order moment stability. With the increase of the damping, the mean square value of the resonant amplitude of the primary parameters of the system decreases;With the decrease of the torsional stiffness of the crankshaft, the slope of the mean square response curve of the system increases;Along with the increase of the random disturbance intensity, the time response curve and the phase diagram of the system only have small changes.

关键词

振动与波/柴油机轴系扭振系统/窄带激励/改进多尺度法/主参数共振/均方响应

Key words

vibration and wave/shaftin torsional vibration system of diesel engineg/narrow-band random excitation/modified multi-scale method/primary parametric resonance/mean square response

引用本文复制引用

杨志安,卞雅媛..有界窄带激励柴油机轴系扭振系统主参数共振[J].噪声与振动控制,2016,36(6):77-81,5.

基金项目

河北省自然科学基金项目 ()

噪声与振动控制

OACSCDCSTPCD

1006-1355

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