Numerical modeling analysis and simulation of wave propagation in flat panel structures using two-dimensional triangular spectral finite element

Nishanth, J K and Kumar, Arun Y M (2016) Numerical modeling analysis and simulation of wave propagation in flat panel structures using two-dimensional triangular spectral finite element. International Journal of advances Research in Science & Technology, 5 (8). pp. 681-690. ISSN 2319-8354

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TIn the recent years interest in the application of elastic wave propagation for Structural Health Monitoring (SHM) of structures has been significantly rising. This results from the fact that this method allows damage to be detected at early stages of its development, before it can endanger the safety of the structure. The idea behind the elastic wave propagation method involves generating elastic waves that would propagate in the investigated structure and registering their amplitudes as a function of time. After encountering discontinuities, waves reflect from them. Wave reflections provide the information on location, size and type of damage, this information is extracted from registered signals by appropriate algorithms. In various modeling and analysis associated with propagation of elastic waves, spectral finite element method is supposed to be most suitable modeling technique out of a variety of numerical methods used nowadays to solve wave propagation-related problems. The spectral finite element method is a relatively new computational technique that basically combines two different numerical techniques that is Spectral methods and the Finite element method. Spectral methods are a special class of techniques employed for solving problems described by partial differential equations numerically. It decreases the computational error exponentially and also guarantees very fast convergence of the solution to exact solutions. The finite element method is employed to solve complex problems from various disciplines of physical sciences described by partial differential equations or integral equations. A characteristic property of the finite element method is discretization of the analyzed area into certain number of smaller sub areas called finite elements, within which one seeks solutions described by approximating polynomials over uniformly spaced nodes. The spectral finite element method is essentially a combination of both mentioned methods; it combines the properties of approximating polynomials of spectral methods and approach to discretizing the analyzed area particular to the finite element method. In this work, a triangular spectral finite element is formulated using Fekete points. The formulation of the elements by Fekete points leads to a diagonal mass matrix, which is a basic requirement in any time-integration scheme. Further, with any triangular elements, the complex geometries may easily be modeled. The developed formulation will be coded in MATLAB. A simple plate structure with possible damages introduced will be analyzed for Lamb wave propagation and the efficiency of the technique will be highlighted.

Item Type: Article
Uncontrolled Keywords: Shm, Sem, Fem, MatlabĀ®, Lamb Waves
Subjects: Engineering > MIT Manipal > Civil Engineering
Depositing User: MIT Library
Date Deposited: 29 Nov 2016 13:22
Last Modified: 29 Nov 2016 13:22

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