Interval Analysis of Interior Acoustic Field with Element-By-Element-Based Interval Finite-Element Method

2021 ◽  
Vol 147 (11) ◽  
pp. 04021085
Author(s):  
Yujia Xiang ◽  
Zhiyu Shi
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Acoustic Field ◽  
Interval Analysis ◽  
Interval Finite Element Method ◽  
Element Method

scholarly journals A substructure-based interval finite element method for problems with uncertain but bounded parameters

2017 ◽  
Vol 9 (1) ◽  
pp. 168781401668407
Author(s):  
Yihuan Zhu ◽  
Guojian Shao ◽  
Jingbo Su ◽  
Ang Li
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Evaluation System ◽  
Nonlinear Problems ◽  
Expansion Method ◽  
Constant Matrix ◽  
Approximation Solution ◽  
Interval Finite Element Method ◽  
Necessary Constraints ◽  
Element Method

In this article, the dependency between different elements in solid structures is considered and a substructure-based interval finite element method is used to model the interval properties. The penalty method is applied to impose the necessary constraints for compatibility. In order to obtain the interval stresses, an approximation solution based on the Taylor expansion method is presented. Then, the proposed interval substructure model is expanded to nonlinear problems. In consideration of the nonlinear property of the elasticity modulus, an interval elastoplastic substructure analysis method using constant matrix based on the incremental theory is proposed and the interval expression of the interval stress updated formation is derived. Finally, numerical examples are carried out to demonstrate the reasonability and feasibility of the proposed method and evaluation system.

Study on Impedance Calculation of Viscoelastic Material in Acoustic Tube

2013 ◽  
Vol 652-654 ◽  
pp. 1420-1426
Author(s):  
Zhong Kun Jin ◽  
Tong Qing Wang ◽  
Ming Sui Yang
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Acoustic Field ◽  
Viscoelastic Material ◽  
Acoustic Impedance ◽  
Coupling Method ◽  
Fluid Structure ◽  
Calculation Results ◽  
Impedance Calculation ◽  
Element Method

The validated finite element method (FEM) was applied to the calculation of local impedance of viscoelastic sample in the acoustic tube. The acoustic impedance of viscoelastic material was calculated by three methods on the basis of numerical acoustic field computed by fluid-structure coupling method and the structure itself. The comparisons of calculation results illustrate that acoustic impedance is the inherent attribute of material.

A Combined Finite Element Method with Normal Mode for the Elastic Structural Acoustic Radiation in Shallow Water

2020 ◽  
Vol 28 (04) ◽  
pp. 2050004
Author(s):  
Buchao An ◽  
Chao Zhang ◽  
Dejiang Shang ◽  
Yan Xiao ◽  
Imran Ullah Khan
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Shallow Water ◽  
Normal Mode ◽  
Acoustic Field ◽  
Acoustic Radiation ◽  
Three Dimensional ◽  
Far Field ◽  
Azimuthal Direction ◽  
Element Method

A combined Finite Element Method with Normal Mode (FEM-NM) is proposed for calculation of the acoustic field radiated by a three-dimensional structural source in shallow water. The FEM is used to calculate the near range acoustic field, then the modes expansion at the vertical and azimuthal direction is performed at a certain coupling range. Hence, the true three-dimensional acoustic field at any range is obtained rapidly by the NM theory. The numerical examples show the efficiency and accuracy of this method. The coupling range and the truncation of the vertical modes hardly affect the far field results.

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