对三度自由度振动冲击系统的响应分析,参数不确定
Guidong Yang1,2, Zichen Deng1, Lin Du3
1Department of Engineering Mechanics, Northwestern Polytechnical University, Xi'an 710129, China.
Entropy (Basel, Switzerland)
|September 28, 2023
概括
本研究分析了使用切比舍夫近似的随机振动冲击系统. 结果显示随机参数导致独特的分叉,不同于确定性系统,发生在一个间隔,而不是在一个临界点.
科学领域:
- 机械工程 机械工程
- 非线性动力学是一种非线性动力学.
- 随机系统 随机系统 随机系统
背景情况:
- 振动冲击系统表现出复杂的动态和参数灵敏度.
- 参数不确定性在机械工程中很常见,需要随机分析.
- 研究具有不确定的参数的振动冲击系统的动态行为至关重要.
研究的目的:
- 分析一个不确定的参数的三度自由度振动冲击系统的动态特征.
- 应用切比舍夫多项式近似方法来分析随机系统.
- 探索系统中的周期性和混乱的运动和分叉.
主要方法:
- 切比什夫多项式近似来将随机系统转换为确定性等价值.
- 对随机振动冲击系统的集合平均响应的导出.
- 数字模拟和普恩卡雷地图用于分析系统动态和分叉.
主要成果:
- 切比舍夫近似法有效地分析了随机的振动冲击系统.
- 归还系数和随机因素都能触发周期性的分叉.
- 随机系统在一段时间内表现出分叉,与发生在关键点的决定性系统不同.
结论:
- 切比舍夫多项式近似是分析随机振动冲击系统的一个可行的方法.
- 与确定性系统相比,静态参数引入了独特的分叉行为.
- 了解这些随机动态对于强大的机械设计至关重要.
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