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中文摘要：
以振动特征频谱为依据，提出了一种定性与定量相结合的多故障的可拓诊断方法。基于可拓学中的物元理论，建立定性地描述燃气轮机故障诊断问题的物元模型；引入可拓集合中的关联函数及关联度，提出了多故障诊断准则，根据故障特征定量地确定燃气轮发电机组故障症状隶属于特定故障的程度。用接近阈值确定可能同时发生的故障类型，用类别阈值确定不能同时发生的故障类型。以燃气轮机组实际故障为例验证了该方法的合理性、有效性。结果表明多维物元模型能较好地表征燃气轮机的多故障问题，并能解决燃气轮发电机组的多故障诊断问题。
英文摘要：
An approach was put forward to diagnose the multiple faults of gas turbines according to the characteristic frequency spectrum of vibration. Based on the matter-element of extension theory, a matter-element model was built to describe the multiple faults and fault situation of rotary machines qualitatively. The dependent function and the dependent degree of the symptom of the fault were introduced to evaluate the possibility of the fault, and the faults of the gas turbine can be determined quantificationally, putting forward the diagnosis rules of the multiple faults. The difference field and the recognition field were used to determine whether the different faults may appear simultaneously. The diagnosis example was taken to validate the approach. The diagnosed result is consistent with the real result. It was shown that the multiple dimension matter-element model can express and diagnose the multiple faults of gas turbines well.
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Synchronization of two non-identical coupled exciters in a non-resonant vibrating system of linear m
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