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首页> 外文期刊>Mathematical Engineering in Industry >Analysis of non-linear sustained oscillations in discrete systems with backlash and resolution by using a discretisation-oriented describing function
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Analysis of non-linear sustained oscillations in discrete systems with backlash and resolution by using a discretisation-oriented describing function

机译：使用面向离散化的描述函数分析具有游隙和分辨率的离散系统中的非线性持续振荡

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In this paper, a discretisation-oriented describing function is obtained for non-linear devices that consist of a combination of backlash and quantisation (resolution) while being subject to discretisation through a sampler and zero-order hold. Such a describing function is frequency- dependent so that the overall non-linearity, which includes both resolution and backlash, is interpreted as one possessing non-linear inertia so that its associate critical locus is also frequency-dependent. This non-linear inertia is generated by the sampling process since it does not appear if the system is Continuous. The presence of non-linear sustained oscillations (limit cycles) is investigated through Simulated comparative examples.
机译：在本文中，针对非线性设备获得了一种面向离散化的描述函数，该函数由反冲和量化（分辨率）的组合组成，同时需要通过采样器和零阶保持进行离散化。这种描述功能是频率相关的，因此包括分辨率和反冲力在内的整体非线性被解释为具有非线性惯性，因此其相关的临界轨迹也与频率相关。该非线性惯性是由采样过程生成的，因为如果系统是连续的，则不会出现。通过模拟比较例研究了非线性持续振荡（极限循环）的存在。

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