许林云, 韩元顺, 陈青, 姜东, 金晶. Data-SSI与图论聚类结合识别果树固有频率[J]. 农业工程学报, 2021, 37(15): 136-145. DOI: 10.11975/j.issn.1002-6819.2021.15.017
    引用本文: 许林云, 韩元顺, 陈青, 姜东, 金晶. Data-SSI与图论聚类结合识别果树固有频率[J]. 农业工程学报, 2021, 37(15): 136-145. DOI: 10.11975/j.issn.1002-6819.2021.15.017
    Xu Linyun, Han Yuanshun, Chen Qing, Jiang Dong, Jin Jing. Natural frequency identification of fruit trees by combination of data-driven stochastic subspace identification and graph theory clustering method[J]. Transactions of the Chinese Society of Agricultural Engineering (Transactions of the CSAE), 2021, 37(15): 136-145. DOI: 10.11975/j.issn.1002-6819.2021.15.017
    Citation: Xu Linyun, Han Yuanshun, Chen Qing, Jiang Dong, Jin Jing. Natural frequency identification of fruit trees by combination of data-driven stochastic subspace identification and graph theory clustering method[J]. Transactions of the Chinese Society of Agricultural Engineering (Transactions of the CSAE), 2021, 37(15): 136-145. DOI: 10.11975/j.issn.1002-6819.2021.15.017

    Data-SSI与图论聚类结合识别果树固有频率

    Natural frequency identification of fruit trees by combination of data-driven stochastic subspace identification and graph theory clustering method

    • 摘要: 果树的固有频率是林果振动采收机械设计的重要依据之一。为有效识别果树的固有频率,该研究提出了基于数据驱动随机子空间Data-SSI(Data-driven Stochastic Subspace Identification)法与图论聚类稳定图相结合、仅以果树的输出响应信号对果树进行固有频率识别的方法,以尽量减少人为主观因素的影响。将该方法用于一棵室内小型银杏树和一棵室外较大银杏树固有频率的识别并与冲击力锤频谱测试结果进行对比分析。结果表明,室内小型果树在随机激励下采用本文方法识别结果与频谱试验结果最大相对误差为4.17%;室外大型果树在环境激励下所提方法识别结果与频谱试验结果平均相对误差为2.88%,最大相对误差为6.02%。本文方法对仅基于输出响应信号的果树固有频率识别具有一定可行性,可为果树智能化共振采收时快速准确确定共振频率提供参考。

       

      Abstract: Mechanical vibration harvesting is one of the most effective means in the mechanized harvesting of fruit. Two types are mainly divided in the vibration harvesting machinery, including the shaking and comb brush type. In shaking machinery, the vibration excitation equipment is used to excite the trunk or branch, thereby forcing the fruit tree in response to the vibration, and finally the fruit moves in a certain form to produce the inertial force. As such, the fruit falls off, particularly when the inertial force of fruit is greater than the binding force of the fruit stalk. Nevertheless, the vibration transmission of branches varies in the different types of fruit trees, or the different shapes of crown structure in the same kind of fruit trees. In essence, the internal structure and inherent characteristics of fruit trees determine the dynamic characteristics. Correspondingly, the dynamic response of fruit trees depends mainly on the tree structure and inherent features. The natural frequency of fruit trees is determined by the structure and natural characteristics. The natural frequency of fruit trees is one of the most important parameters to design the vibration harvester of fruit trees. The natural frequency can commonly be obtained in the modal test. The traditional modal test is mostly artificial excitation, difficult to cause effective attenuation response for the fruit trees with complex structure, and the accuracy of frequency identification is limited by the accuracy of frequency spectrum test. In this study, a combination was proposed to integrate the data-driven stochastic subspace identification (SSI) and graph theory clustering stability diagram, in order to effectively identify the natural frequency of fruit trees. The data-driven SSI showed excellent noise immunity suitable for dense modal identification. Only the output response signal of fruit trees was used to identify the natural frequency of fruit trees. The actual response signal of the fruit tree structure was directly collected for parameter identification. The link of the input excitation signal was reduced significantly, particularly on the technical requirements and workload. In the process of noise reduction, an order determination of the system was processed, including the data-driven SSI, stabilization diagram generation, graph theory clustering, and the response signal of fruit trees under random or environmental excitation. As such, the natural frequency of fruit trees was effectively identified to minimize the human subjective factors. A field test was performed on a small indoor ginkgo tree and a large outdoor ginkgo tree. The natural frequency was also compared with the impact hammer frequency spectrum. The results showed that there was an excellent correspondence between the natural frequencies identified by data-driven SSI and the impact hammer frequency spectrum, where the relative error was small, the average error was 2.14%, and the maximum error was 4.17%. Furthermore, the average relative error between the recognition of outdoor large fruit trees under environmental excitation and the corresponding frequency spectrum was 2.88%, and the maximum relative error was 6.02%. In general, the relative errors were less than 5% in the most corresponding natural frequencies. Consequently, the data-driven SSI and graph theory clustering were feasible for the natural frequency identification of fruit trees using the output response signals. The stable graph with the distance threshold was utilized to reduce the influence of human factors, while improving the efficiency of natural frequency identification. The finding can provide a promising application in mechanical vibration harvesting, particularly where it is difficult to apply artificial force to fruit trees, or the effect of artificial force is not ideal in an outdoor environment.

       

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