单自由度摩擦系统离散模型

冯奇; 张相庭

单自由度摩擦系统离散模型

冯奇,
张相庭

同济大学固体力学教育部重点实验室, 上海 200092

基金项目: 上海教育委员会重点学科资助项目

详细信息

作者简介:
冯奇(1946- ),女,浙江人,教授,博士,博士生导师,著有“工程中的浑沌振动”.

中图分类号: O324
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- 被引次数: 0
出版历程
- 收稿日期: 1999-11-09
- 修回日期: 2001-03-13
- 刊出日期: 2001-08-15

The Discrete Models on a Frictional Single Degree of Freedom System

Key Laboratory of Solid Mechanics of MOE, Tongji University, Shanghai 200092, P R China

摘要

摘要: 发展了两种随机离散数学模型:导出了一个以二维平均映射描述的随机模型,并建立了一个概率预报模型.通过实例对不同模型进行了比较,对于平均映射模型,分岔图指出了外噪声对系统性质的影响,通过符号动力学方法分析指出概率预报模型的随机性质.
- 随机摩擦系统 /
- Stick-slip运动 /
- 随机浑沌
Abstract: Two stochastic models on simple random system with friction were developed.One of them was a discrete model by a two-dimensional mean map applied to describe random stick-slip motion.The numerical examples show that external noise can reduce the complexity of the system behavior.Secondly,a probability model described was established with coexistence of stick-slip and slip motions.The numerical results point out that this model possesses pure stochastic behavior.
- stochastic frictional system /
- stick-slip motion /
- stochastic chaos

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参考文献(14)

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