Abstract
The present paper discusses impedance and mobility approach integrated with finite element method (FEM) for free vibration analysis of structural-acoustic coupled systems for irregular geometry. In this method, coupled natural frequencies of any irregular geometry with flexible surfaces with different boundary conditions can be estimated. The proposed hybrid method helps to understand the underlying physics of structural-acoustic coupling in complex geometries. The formulation being in impedance and mobility form, gives more insight in understanding coupled modes of the complex geometries. It is for three dimensional irregular geometries, so it can be used in most of the practical applications where coupled natural frequencies play a vital role. The proposed method is demonstrated for regular and irregular geometry with one wall flexible configuration. The results are corroborated with existing literature data for regular geometry and numerical models for irregular geometry.
Highlights
Coupled natural frequencies of thin shell structure with fluid medium is an important topic to understand the structural-acoustic coupling in dynamical systems
Mohamed followed the same methodology to study the structural-acoustic coupling in car tire resonance and compared the results with finite element method (FEM) [9]
The same formulation has been extended for irregular geometry and results are compared with numerical model
Summary
Coupled natural frequencies of thin shell structure with fluid medium is an important topic to understand the structural-acoustic coupling in dynamical systems. Brennan reformulated the Dowell’s work in the form of acoustic impedance and structural mobility [3, 4] They have used compact matrix formulation and lumped parameter model. FREE VIBRATION ANALYSIS OF STRUCTURAL-ACOUSTIC COUPLED SYSTEM USING HYBRID IMPEDANCE AND MOBILITY APPROACH. It is very clear that impedancemobility approach has ease in applications and computational inexpensive as compared to FEM numerical simulations [13] It has some challenges choosing natural frequencies and mode shapes of uncoupled subsystems of complex and irregular geometries. The major contribution in the proposed method is integrating the two methods and deriving equation of motion of structural-acoustic coupled systems These equations are expressed in terms of modal vectors and natural frequencies which are obtained from uncoupled structural and uncoupled acoustic FE models. The proposed formulation is for three dimensional irregular cavities, so it can be used in most of the practical applications like off-high way cabins, buildings and automobiles where coupled natural frequencies play a vital role in improving the comfort of the passengers or occupants
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