考虑内阻尼的梁结构耦合点处近场耗散功率分析

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振动与冲击 ›› 2013, Vol. 32 ›› Issue (15) : 126-129.

论文

考虑内阻尼的梁结构耦合点处近场耗散功率分析

郑国涛，国凤林

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Analysis on the Dissipation Power of Near-field at Beam Junctions Considering Internal Damping

ZHENG Guo-tao GUO Feng-lin

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摘要

以考虑结构内阻尼系数的Euler-Bernoulli梁为理论基础，建立了以任意角度耦合的简单三叉梁结构波动方程，根据耦合点处平衡条件和连续性条件得到了在分别给定弯曲波激励和纵向波激励情况下近场波的幅值，由于内阻尼系数的引入，近场项将消耗功率，根据振动波幅和振动功率之间的关系求得到耦合点处近场耗散功率系数，算例研究了内阻尼系数、耦合角度和激励频率对一种特定三叉梁近场耗散功率系数的影响，得到了一些至关重要的结论，对耦合梁结构振动设计有着重要的指导意义。

Abstract

This study establishes wave equation of simple three semi-infinite beams coupled at arbitrary angles based on the theory of Euler-Bernoulli beam with internal damping taken into account. According to the equilibrium and continuity conditions of the junction, near-field amplitude subjected to flexural wave and longitudinal wave excitations is derived. Due to the introduction of internal damping coefficient, the near-field terms will be attenuated. Near-field dissipation power coefficients are obtained from the relationship between the vibration amplitude and the vibration power. An example of three semi-infinite beam junctions coupled at arbitrary angles is studied to reveal the effects of internal damping coefficient, coupled angles and excitation frequency on near-field dissipation power coefficient. Numerical results show some interesting phenomena and this study can provide references and guidelines for the design of vibration of coupled beams.

导出引用

郑国涛;国凤林. 考虑内阻尼的梁结构耦合点处近场耗散功率分析[J]. 振动与冲击, 2013, 32(15): 126-129

ZHENG Guo-tao GUO Feng-lin. Analysis on the Dissipation Power of Near-field at Beam Junctions Considering Internal Damping[J]. Journal of Vibration and Shock, 2013, 32(15): 126-129