Abstract

The method of laser vibrometry was applied to investigate the vibrations of elastic plates interacting with a liquid for different variants of plate clamping. The obtained results are used to verify the developed finite-element algorithm designed to solve the problem of spatial vibrations of one or two parallel rectangular plates interacting with a quiescent viscous fluid. The results of calculations of the natural frequencies and damping decrement obtained under different boundary conditions and the height of the fluid layer are discussed. It has been demonstrated that for the configurations considered, viscosity of the liquid has a significant effect on the damping decrement, in contrast to frequencies of vibrations.

Highlights

  • Interest in the problems of natural vibrations of plates interacting with a fluid is due to the availability of various technical applications with strict requirements for safety and performance characteristics of structures

  • One of the main results of these studies is the conclusion that natural frequencies of vibrations tend to an asymptotic value when the characteristic size of the structure exceeds the height of the fluid layer

  • A sensor based on polyvinylidene difluoride (PVDF) was used, and in the second case, measurements were taken using the amplitude-fluctuation electronic speckle pattern interferometry (AF-ESPI) method

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Summary

Introduction

Interest in the problems of natural vibrations of plates interacting with a fluid is due to the availability of various technical applications with strict requirements for safety and performance characteristics of structures. Recent literature includes numerous papers, in which the influence of various factors on the natural vibrational frequencies of plates interacting with a fluid is analyzed. Detailed chronology and review of relevant papers are presented in articles [2, 3] Experimental studies on this topic are represented by a limited number of works. In the majority of works, the authors used model of an ideal fluid, in which damping was not taken into account. In this connection, the development of a numerical algorithm for solving the problem of spatial vibrations of plates interacting with a quiescent viscous fluid, and its verification with the help of experiment, are the problems of direct interest

Mathematical formulation
Numerical formulation
Experiment setup
Experiment results
Numerical results
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