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Low-carbon development emphasizes companies' focus on protecting the environment while achieving economic benefits for their business. Ecologically managed efficiency refers to the introduction of ecological concepts in the business strategy of an enterprise. It guides the manufacturing process in a direction conducive to comprehensive resource utilization and ecological environmental protection and promotes a virtuous cycle among economic, social, and environmental systems. In order to evaluate the ecologically managed efficiency of manufacturing enterprises, this paper proposes an efficiency evaluation model combining the entropy method and DEA model, aiming to assess whether or the ecological management behaviors and strategies are effective. Specifically, this method first uses the DEA model to calculate the cross-efficiency evaluation matrix of the evaluated enterprises. Then, the information entropy and weights of the evaluation information by the entropy method. Next, the comprehensive evaluation value and ranking of ecologically managed efficiency can be obtained by aggregating the information entropy and weights. Finally, a case study is used to validate the proposed method, and the results show the effectiveness of the proposed method. [ABSTRACT FROM AUTHOR]

In the rolling element bearing fault diagnosis, locating the demodulation frequency band is one of the critical processes. Tradition kurtosis-based algorithms are not adaptable under time-varying rotational speed. A new index called Fault Characteristic Order (FCO) Index is constructed to determine the most suitable demodulation frequency band. The specific process consists of three steps: (1) constructing a series of band-pass filters along the frequency axis, (2) filtering the raw bearing signal with these filters and corresponding instantaneous characteristic frequency trends and FCO spectra are extracted, (3) the FCO indexes of each FCO spectrum are calculated and used as the criteria to determine the optimal filter band. The effectiveness of the proposed method has been validated and a comparison between the effectiveness of the proposed algorithm and the traditional kurtosis-based method is also carried out. [ABSTRACT FROM AUTHOR]