Nonlinear dynamics analysis of a low-temperature-differential kinematic Stirling heat engine
Nonlinear dynamics analysis of a low-temperature-differential kinematic Stirling heat engine
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DOI：
10.1209/0295-5075/121/50004
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发表时间：
2018-03-01
期刊：
影响因子：
1.8
通讯作者：
Izumida, Yuki
中科院分区：
文献类型：
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作者：
Izumida, Yuki
低温差动(LTD)斯特林热机技术是重要的可持续能源技术之一。因此，LTD斯特林热机如何根据温差保持或失去旋转运动的基本问题是一个需要清楚理解的重要的实际和物理问题。在这里，我们通过提出和研究LTD运动型斯特林热机的最小非线性动力学模型来解决这个问题。我们的模型被描述为一个以温差为驱动力的非线性摆。将发动机的转动状态和稳态分别描述为动力学方程的稳定极限环和稳定不动点。在足够的温差下，这两种状态共存，而在太小的温差下，不存在稳定的极限环。利用非线性分叉分析，我们证明了稳定极限环的消失是通过同宿分叉发生的，其中温差是分叉参数。版权所有(C)E解放军，2018年
The low-temperature-differential (LTD) Stirling heat engine technology constitutes one of the important sustainable energy technologies. The basic question of how the rotational motion of the LTD Stirling heat engine is maintained or lost based on the temperature difference is thus a practically and physically important problem that needs to be clearly understood. Here, we approach this problem by proposing and investigating a minimal nonlinear dynamic model of an LTD kinematic Stirling heat engine. Our model is described as a driven nonlinear pendulum where the motive force is the temperature difference. The rotational state and the stationary state of the engine are described as a stable limit cycle and a stable fixed point of the dynamical equations, respectively. These two states coexist under a sufficient temperature difference, whereas the stable limit cycle does not exist under a temperature difference that is too small. Using a nonlinear bifurcation analysis, we show that the disappearance of the stable limit cycle occurs via a homoclinic bifurcation, with the temperature difference being the bifurcation parameter. Copyright (C) EPLA, 2018