Abstract
Investigated are modeling and control approaches for vibration analysis of two identical beams which are coupled with fluid and active mechanical links. In the modeling of the coupled beam system, orthogonal functions are used to represent vibration of the beams and the fluid-structure interaction is considered. Frequency Response Functions (FRFs) are derived from the coupled governing equations and the superposition principle for linear vibration systems. In the control of vibration of the beams, impulse response functions corresponding to the FRFs and an adaptive control algorithm are employed to attenuate vibration transmission between the two beams. Natural frequencies, mode shapes as well as the pressure distribution in the fluid are computed. The results obtained by the proposed modeling method are in good consistency with those obtained by the finite element analysis. Moreover, it is demonstrated that the active mechanical link is able to reduce vibration transmission and change the deformation of beams as well as the distribution of fluid pressure.
Highlights
The bounded fluid between double-layer shells, plates or beams can transfer vibrations from one side to the other and couples the motion of structures
Interaction between the fluid and structures has a great influence on the dynamics of structures, and for plate/shell structures with bounded fluid and mechanical links inside, vibration transmission is complicated by the fluidstructure interaction
Active elements in mechanical links have a potential in reducing vibration transmission and the mechanism is worthy of discussion
Summary
The bounded fluid between double-layer shells, plates or beams can transfer vibrations from one side to the other and couples the motion of structures. This study attempts to analyze the coupled vibration in such systems by using a simplified physical model, which consists of two identical beams, a bounded heavy fluid layer and a mechanical link. This model is relatively simple, it is able to reveal vibration characteristics and their evolution under active control. Computation of vibration of double-walled panels with bounded fluid and mechanical links has been studied, but most investigations deal with interaction between structures and a light fluid, such as the air [14,15,16].
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