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A New Method for Mid- to High-Frequency Vibration Analyses of Beam Structures

机译：梁结构中高频振动分析的一种新方法

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Vibrations of complex flexible structures at mid- to high- frequencies have important applications in automotive, aerospace and ship engineering, as well as in high-tech developments. In this paper, a new method is proposed for mid- and high-frequency vibration analyses of complex flexible beam structures. In this method, the vibration of a multi-body beam structure is modeled by an augmented formulation of the Distributed Transfer Function Method (DTFM). This formulation does not rely on discretization, treats beam members, different types of connection, and general boundary conditions in a unified manner, and does not need to adjust algorithms of calculation as the excitation frequency varies from low to high. A highlight of the new method is that it delivers frequency response solutions with detailed information on local displacement, slope, bending moment and shear force in mid- to high-frequency regions, which otherwise might be difficult to obtain by conventional analyses. The proposed method is illustrated on two-dimensional Euler-Bernoulli beam frames in numerical simulation. The new method is validated with the finite element analysis (FEA), the statistical energy analysis (SEA) and the energy flow analysis (EFA), and good agreement is seen in all the examples. Moreover, the new method can certainly go higher than those frequencies that have been reported in the literature. Indeed, the new method is numerically efficient and delivers highly accurate solutions in frequency regions from 102 to 108 Hz, and beyond. It is believed that the proposed DTFM is a useful tool for design and optimization of complex structures in engineering applications.
机译：复杂柔性结构的振动在高频到高频上具有重要应用，在汽车，航空航天和船舶工程中以及高科技发展中的应用。本文提出了一种新方法，用于复杂柔性梁结构的中高频率振动分析。在该方法中，通过分布式传递函数方法（DTFM）的增强配方来建模多体束结构的振动。该配方不依赖于离散化，以统一的方式处理光束构件，不同类型的连接和一般边界条件，并且不需要调整计算的算法，因为激励频率从低到高电平变化。新方法的亮点是，它具有在中到高频区域中的局部位移，斜坡，弯矩和剪切力的详细信息提供频率响应解决方案，否则可能难以通过常规分析获得。在数值模拟中的二维Euler-Bernoulli光束帧中示出了所提出的方法。通过有限元分析（FEA），统计能量分析（SEA）和能量流分析（EFA）验证了新方法，并在所有示例中看到了良好的一致性。此外，新方法肯定会高于文献中报告的那些频率。实际上，新方法是数值有效的，在102到108 Hz的频率区域中提供高度精确的解决方案，以及超越。据信，所提出的DTFM是一种有用的工程应用程序设计和优化复杂结构的工具。

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