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二维变压力摩擦运动的非线性振动分析

赵伟 张荻 谢永慧

噪声与振动控制2018,Vol.38Issue(z1):96-99,4.
噪声与振动控制2018,Vol.38Issue(z1):96-99,4.DOI:10.3969/j.issn.1006-1355.2018.Z1.020

二维变压力摩擦运动的非线性振动分析

Analysis of Nonlinear Vibration Characteristics of Two-dimensional Friction Motion with Variable Load

赵伟 1张荻 1谢永慧1

作者信息

  • 1. 西安交通大学 能源与动力工程学院,西安 710049
  • 折叠

摘要

Abstract

The blade shroud of turbomachinery undergoes frictional movement during operation, but the normal load acting on contact surface is often not a constant value. In order to analyze the nonlinear behavior of the frictional behavior of shroud contact, a two-dimensional frictional dynamic model of single degree of freedom with variable load was established in this paper. The entire solution process is also given in detail. Commonly, Newton-Raphson method is an iterative algorithm for solving nonlinear equations and the solution of tangential stiffness matrix in iteration is a difficult problem. It has strong nonlinearity under variable load, but can be solved with the technical that calculating iteratively in terms of the initial slip or viscous state. Furthermore, several numerical examples were also presented in this paper. Specifically, the influence of contact gap, separation and phase difference on amplitude and hysteresis loop was discussed. The coupling effect of friction force and positive pressure was also analyzed. The trajectory of tangential and normal displacement under two-dimensional motion was obtained finally. The results can be applied to the vibration solution of an actual blade to provide reference for exploring the non-linear behavior of turbine blades.

关键词

振动与波/透平叶片/摩擦模型/迟滞回线/接触分离/滑移-黏滞

Key words

vibration and wave/turbine blade/friction model/hysteresis loop/contact separation/slip-stick

分类

数理科学

引用本文复制引用

赵伟,张荻,谢永慧..二维变压力摩擦运动的非线性振动分析[J].噪声与振动控制,2018,38(z1):96-99,4.

基金项目

高等学校学科创新引智计划资助项目(B16038) (B16038)

噪声与振动控制

OACSCDCSTPCD

1006-1355

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