Simulation Methods for Guided Wave-Based Structural Health Monitoring: A Review

Abstract

This paper reviews the state-of-the-art in numerical wave propagation analysis. The main focus in that regard is on guided wave-based structural health monitoring (SHM) applications. A brief introduction to SHM and SHM-related problems is given, and various numerical methods are then discussed and assessed with respect to their capability of simulating guided wave propagation phenomena. A detailed evaluation of the following methods is compiled: (i) analytical methods, (ii) semi-analytical methods, (iii) the local interaction simulation approach (LISA), (iv) finite element methods (FEMs), and (v) miscellaneous methods such as mass–spring lattice models (MSLMs), boundary element methods (BEMs), and fictitious domain methods. In the framework of the FEM, both time and frequency domain approaches are covered, and the advantages of using high order shape functions are also examined.

Spectral Methods for Modelling of Wave Propagation in Structures in Terms of Damage Detection—A Review

“…As the number of SHM systems based on changes in wave propagation in structures increases every year, therefore it is important to use reliable solution methods for this type of physical phenomena [61]. For several decades, the number of applications of spectral methods for solution of wave problems has been constantly growing.…”

“…Despite the fact that there are many possibilities of computational techniques employed to solve various types of problems considered in SHM applications [61], it is very difficult to indicate one universal numerical method for such problems. Therefore, it is important to choose a method that is suitable and efficient.…”

Ultrasonic Guided Wave Method For Crack Detection In Buried Plastic Pipe

“…Piezoelectric transducers are often used to excite and receive ultrasonic guided waves due to their low costs and an easy integration into existing structures. This research area offers a wide variety of contributions [11,12].…”

A quantitative method for evaluating numerical simulation accuracy of time-transient Lamb wave propagation with its applications to selecting appropriate element size and time step

“…78 Besides analytical approaches, a great number of numerical 79 simulation methods [7 -10] have been employed to study the 80 Lamb wave propagation. Willberg et al [10] 81 state-of-the-art numerical simulation methods used in guided 82 wave-based SHM. These approaches include finite element 83 analysis [11][12][13][14][15][16][17][18][19][20][21][22][23][24], finite difference equations [25][26][27], finite 84 strip element [28,29], boundary element method [30,31], 85 semi-analytical finite element analysis [32][33][34][35][36][37][38][39][40], global matrix 86 methods [41], spectral element approaches [42][43][44][45][46][47][48], mass-spring 87 lattice models [49,50], the local interaction simulation approach 88 (LISA) …”