以下为句子列表：
英文: The vibration analysis of a coupled system composed of a beam and multiple degree of freedom (MDOF) subsystem is carried out, and the analytical expressions for harmonic responses as well as the natural characteristics of this kind of system are obtained
中文: 摘要采用递归方程方法，对梁－多自由度耦合系统的振动响应进行了分析，得到了该耦合系统在简谐激励作用下振动响应的解析表达式，在此基础上，仍应用递归方程方法对该耦合结构的固有特性进行分析，给出了固有频率及模态振型的公式。
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英文: This paper establishes vibration models of the hoisting and balancing booms of the QTZ400 tower crane, discusses factors that influence the booms' natural frequencies, and describes the mecessity of vibration analysis during tower crane design.
中文: 摘要以QTZ400型塔式起重机为例，建立其吊臂和平衡臂系统的振动模型，分析影响固有频率的因素，并详细地阐述了进行振动分析在塔式起重机设计中的必要性。
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英文: The Low Frequency Vibration Analysis for the Background Maps and Its Application to the Detection of Neuronal Activity Maps
中文: 脑光学功能成像低频振荡信号分析及其在功能映射中的应用
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