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首页> 外文期刊>International journal of structural stability and dynamics >Analysis of Vibration in L- and H-Shaped Planar Frame Structures Using Transfer Function
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Analysis of Vibration in L- and H-Shaped Planar Frame Structures Using Transfer Function

机译：使用传递函数分析L-和H形平面框架结构的振动

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This paper analyzed the vibration of planar frame structures using the transfer function, which is obtained as the Laplace transform of Green's function. The transfer function was used to represent the relationship between the excitation (including the initial and boundary conditions) and the response of the system; that is, it can determine the vibration response and stability of the system. The frame was divided into several joint blocks with substructures (beams). A state-space matrix form was used to represent the equation of motion in the beams. The compatibility between the joint blocks and beams allows us to establish the characteristic matrix of the frame, of which the determinant is the characteristic equation. With the eigenvalues obtained as the roots of the characteristic equation, one can establish the eigenfunction of the frame. The receptance of the structure with a single point excitation was also studied. The application of the transfer function to analysis of the L- and H-shaped planar frame structures was conducted in this paper. The results agree well with those published in the literature.
机译：本文分析了使用传递函数的平面框架结构的振动，这是作为绿色功能的拉普拉斯变换。传递函数用于表示激励（包括初始和边界条件）与系统的响应之间的关系;也就是说，它可以确定系统的振动响应和稳定性。框架被分成几个带有子结构的关节块（光束）。使用状态空间矩阵形式来表示光束中的运动方程。关节块和光束之间的兼容性允许我们建立框架的特征矩阵，其中决定簇是特征方程。利用作为特征方程的根部获得的特征值，可以建立框架的特征。还研究了具有单点激发的结构的接收。在本文中，进行了转移函数以分析L-和H形平面框架结构的应用。结果与文学中发表的结果很好。

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