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E-raamat: Guided Waves in Structures for SHM: The Time - domain Spectral Element Method

(Polish Academy of Sciences), , ,
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  • Ilmumisaeg: 30-Dec-2011
  • Kirjastus: John Wiley & Sons Inc
  • Keel: eng
  • ISBN-13: 9781119965862
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Guided Waves in Structures for SHM: The Time - domain Spectral Element MethodSuurem pilt
  • Formaat: PDF+DRM
  • Ilmumisaeg: 30-Dec-2011
  • Kirjastus: John Wiley & Sons Inc
  • Keel: eng
  • ISBN-13: 9781119965862
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"Presents the state of the art in the modelling, analysis and experimental investigation of elastic wave propagation using a technique of rapidly increasing interest and development. Addressing an important issue in the field of guided-wave-based damageidentification and structural health monitoring, Guided Waves in Structures for SHM presents the modelling, analysis and experimental investigation of elastic wave propagation in engineering structures made of isotropic or composite materials. The authors begin by summarising present-day knowledge on elastic wave propagation in solids, focusing on challenges associated with developing efficient numerical methods and verifying them experimentally. They then progress to describe modelling and analysis using the Spectral Finite Element Method-based approach, presenting the results of numerical tests of elastic wave propagation in structural elements of diverse types ranging from rods through beams, disks, plates and coatings to 3D structures. The section devoted to experimental research describes applications of laser technology for measuring elastic wave propagation in real-life structural elements. Addresses both numerical analysis and experimental research in a single volume. Presents state-of-the-art numerical models based on the Spectral Finite Element Method and experimental research employing laser technologies. Coverage includes an introduction to theory of elastic wave propagation in solids, signal processing techniques the spectral element approach, elastic waves in 1D and 2D structures, EWavePro simulation environment, dispersion relations and damage localisation methods accompanied by a website housing the demo version of the authors' own software dedicated to solve the problems indicated in the book. Original and valuable in its presentation of both numerical analysis and experimental research in a single volume and accompanied by a website housing the demo version of the authors' own software dedicated to solve the problems indicated in the book,Guided Waves in Structures for SHM provides a state of the art resource for researchers, students and practitioners within SHM and NDT. "--

"Presents the state of the art in the modelling, analysis and experimental investigation of elastic wave propagation using a technique of rapidly increasing interest and development. Addressing an important issue in the field of guided-wave-based damage identification and structural health monitoring, Guided Waves in Structures for SHM presents the modelling, analysis and experimental investigation of elastic wave propagation in engineering structures made of isotropic or composite materials. The authorsbegin by summarising present-day knowledge on elastic wave propagation in solids, focusing on challenges associated with developing efficient numerical methods and verifying them experimentally. They then progress to describe modelling and analysis usingthe Spectral Finite Element Method-based approach, presenting the results of numerical tests of elastic wave propagation in structural elements of diverse types ranging from rods through beams, disks, plates and coatings to 3D structures. The section devoted to experimental research describes applications of laser technology for measuring elastic wave propagation in real-life structural elements. Addresses both numerical analysis and experimental research in a single volume. Presents state-of-the-art numerical models based on the Spectral Finite Element Method and experimental research employing laser technologies. Coverage includes an introduction to theory of elastic wave propagation in solids, signal processing techniques the spectral element approach, elastic waves in 1D and 2D structures, EWavePro simulation environment, dispersion relations and damage localisation methods accompanied by a website housing the demo version of the authors' own software dedicated to solve the problems indicated in the book. Original and valuable in its presentation of both numerical analysis and experimental research in a single volume and accompanied by a website housing the demo version of the authors' own software dedicated to solve the problems indicated in the book,Guided Waves in Structures for SHM provides a state of the art resource for researchers, students and practitioners within SHM and NDT. "--



Understanding and analysing the complex phenomena related to elastic wave propagation has been the subject of intense research for many years and has enabled application in numerous fields of technology, including structural health monitoring (SHM). In the course of the rapid advancement of diagnostic methods utilising elastic wave propagation, it has become clear that existing methods of elastic wave modeling and analysis are not always very useful; developing numerical methods aimed at modeling and analysing these phenomena has become a necessity. Furthermore, any methods developed need to be verified experimentally, which has become achievable with the advancement of measurement methods utilising laser vibrometry.

Guided Waves in Structures for SHM reports on the simulation, analysis and experimental investigation related propagation of elastic waves in isotropic or laminated structures. The full spectrum of theoretical and practical issues associated with propagation of elastic waves is presented and discussed in this one study.

Key features:

  • Covers both numerical and experimental aspects of modeling, analysis and measurement of elastic wave propagation in structural elements formed from isotropic or composite materials
  • Comprehensively discusses the application of the Spectral Finite Element Method for modelling and analysing elastic wave propagation in diverse structural elements
  • Presents results of experimental measurements employing advanced laser technologies, validating the quality and correctness of the developed numerical models
  • Accompanying website (www.wiley.com/go/ostachowicz) contains demonstration versions of commercial software developed by the authors for modelling and analyzing elastic wave propagation using the Spectral Finite Element Method

Guided Waves in Structures for SHM provides a state of the art resource for researchers and graduate students in structural health monitoring, signal processing and structural dynamics. This book should also provide a useful reference for practising engineers within structural health monitoring and non-destructive testing.

Preface ix
1 Introduction to the Theory of Elastic Waves
1(46)
1.1 Elastic Waves
1(4)
1.1.1 Longitudinal Waves (Compressional/Pressure/Primary/P Waves)
2(1)
1.1.2 Shear Waves (Transverse/Secondary/S Waves)
2(1)
1.1.3 Rayleigh Waves
3(1)
1.1.4 Love Waves
4(1)
1.1.5 Lamb Waves
4(1)
1.2 Basic Definitions
5(5)
1.3 Bulk Waves in Three-Dimensional Media
10(5)
1.3.1 Isotropic Media
10(2)
1.3.2 Christoffel Equations for Anisotropic Media
12(2)
1.3.3 Potential Method
14(1)
1.4 Plane Waves
15(20)
1.4.1 Surface Waves
16(1)
1.4.2 Derivation of Lamb Wave Equations
17(9)
1.4.3 Numerical Solution of Rayleigh-Lamb Frequency Equations
26(3)
1.4.4 Distribution of Displacements and Stresses for Various Frequencies of Lamb Waves
29(3)
1.4.5 Shear Horizontal Waves
32(3)
1.5 Wave Propagation in One-Dimensional Bodies of Circular Cross-Section
35(12)
1.5.1 Equations of Motion
35(1)
1.5.2 Longitudinal Waves
36(3)
1.5.3 Solution of Pochhammer Frequency Equation
39(3)
1.5.4 Torsional Waves
42(1)
1.5.5 Flexural Waves
43(2)
References
45(2)
2 Spectral Finite Element Method
47(46)
2.1 Shape Functions in the Spectral Finite Element Method
53(9)
2.1.1 Lobatto Polynomials
54(2)
2.1.2 Chebyshev Polynomials
56(4)
2.1.3 Laguerre Polynomials
60(2)
2.2 Approximating Displacement, Strain and Stress Fields
62(5)
2.3 Equations of Motion of a Body Discretised Using Spectral Finite Elements
67(5)
2.4 Computing Characteristic Matrices of Spectral Finite Elements
72(9)
2.4.1 Lobatto Quadrature
75(1)
2.4.2 Gauss Quadrature
76(2)
2.4.3 Gauss-Laguerre Quadrature
78(3)
2.5 Solving Equations of Motion of a Body Discretised Using Spectral Finite Elements
81(12)
2.5.1 Forcing with an Harmonic Signal
82(1)
2.5.2 Forcing with a Periodic Signal
83(1)
2.5.3 Forcing with a Nonperiodic Signal
84(8)
References
92(1)
3 Three-Dimensional Laser Vibrometry
93(32)
3.1 Review of Elastic Wave Generation Methods
94(10)
3.1.1 Force Impulse Methods
94(1)
3.1.2 Ultrasonic Methods
94(3)
3.1.3 Methods Based on the Electromagnetic Effect
97(1)
3.1.4 Methods Based on the Piezoelectric Effect
98(4)
3.1.5 Methods Based on the Magnetostrictive Effect
102(1)
3.1.6 Photothermal Methods
103(1)
3.2 Review of Elastic Wave Registration Methods
104(5)
3.2.1 Optical Methods
106(3)
3.3 Laser Vibrometry
109(5)
3.4 Analysis of Methods of Elastic Wave Generation and Registration
114(2)
3.5 Exemplary Results of Research on Elastic Wave Propagation Using 3D Laser Scanning Vibrometry
116(9)
References
121(4)
4 One-Dimensional Structural Elements
125(42)
4.1 Theories of Rods
125(2)
4.2 Displacement Fields of Structural Rod Elements
127(6)
4.3 Theories of Beams
133(2)
4.4 Displacement Fields of Structural Beam Elements
135(6)
4.5 Dispersion Curves
141(2)
4.6 Certain Numerical Considerations
143(12)
4.6.1 Natural Frequencies
144(3)
4.6.2 Wave Propagation
147(8)
4.7 Examples of Numerical Calculations
155(12)
4.7.1 Propagation of Longitudinal Elastic Waves in a Cracked Rod
156(2)
4.7.2 Propagation of Flexural Elastic Waves in a Rod
158(4)
4.7.3 Propagation of Coupled Longitudinal and Flexural Elastic Waves in a Rod
162(2)
References
164(3)
5 Two-Dimensional Structural Elements
167(34)
5.1 Theories of Membranes, Plates and Shells
167(2)
5.2 Displacement Fields of Structural Membrane Elements
169(6)
5.3 Displacement Fields of Structural Plate Elements
175(6)
5.4 Displacement Fields of Structural Shell Elements
181(3)
5.5 Certain Numerical Considerations
184(5)
5.6 Examples of Numerical Calculations
189(12)
5.6.1 Propagation of Elastic Waves in an Angle Bar
189(3)
5.6.2 Propagation of Elastic Waves in a Half-Pipe Aluminium Shell
192(3)
5.6.3 Propagation of Elastic Waves in an Aluminium Plate
195(3)
References
198(3)
6 Three-Dimensional Structural Elements
201(32)
6.1 Solid Spectral Elements
202(1)
6.2 Displacement Fields of Solid Structural Elements
202(2)
6.2.1 Six-Mode Theory
202(1)
6.2.2 Nine-Mode Theory
203(1)
6.3 Certain Numerical Considerations
204(4)
6.4 Modelling Electromechanical Coupling
208(12)
6.4.1 Assumptions
213(1)
6.4.2 Linear Constitutive Equations
213(1)
6.4.3 Basic Equations of Motion
214(1)
6.4.4 Static Condensation
215(1)
6.4.5 Inducing Waves
216(1)
6.4.6 Recording Waves
216(1)
6.4.7 Electrical Boundary Conditions
216(4)
6.5 Examples of Numerical Calculations
220(7)
6.5.1 Propagation of Elastic Waves in a Half-Pipe Aluminium Shell
220(2)
6.5.2 Propagation of Elastic Waves in an Isotropic Plate - Experimental Verification
222(5)
6.6 Modelling the Bonding Layer
227(6)
References
230(3)
7 Detection, Localisation and Identification of Damage by Elastic Wave Propagation
233(62)
7.1 Elastic Waves in Structural Health Monitoring
235(12)
7.2 Methods of Damage Detection, Localisation and Identification
247(22)
7.2.1 Energy Addition Method
253(2)
7.2.2 Phased Array Method
255(8)
7.2.3 Methods Employing Continuous Registration of Elastic Waves within the Analysed Area
263(3)
7.2.4 Damage Identification Algorithms
266(3)
7.3 Examples of Damage Localisation Methods
269(26)
7.3.1 Localisation Algorithms Employing Sensor Networks
269(6)
7.3.2 Algorithms Based on Full Field Measurements of Elastic Wave Propagation
275(13)
References
288(7)
Appendix: EWavePro Software
295(38)
A.1 Introduction
295(1)
A.2 Theoretical Background and Scope of Applicability (Computation Module)
296(2)
A.3 Functional Structure and Software Environment (Pre- and Post-Processors)
298(14)
A.4 Elastic Wave Propagation in a Wing Skin of an Unmanned Plane (UAV)
312(8)
A.5 Elastic Wave Propagation in a Composite Panel
320(13)
References 333(2)
Index 335
Wieslaw Ostachowicz, Pawel Kudela, Marek Krawczuk, Zak Arkadiusz, Polish Academy of Sciences, PolandWieslaw Ostachowicz is Professor and Head of the Department of Mechanics of Intelligent Structures in the Institute of Fluid Flow Machinery at the Polish Academy of Sciences. His research areas include structural health monitoring, vibration control and damage control, structural dynamics, smart materials and structures, composite structures and fracture mechanics. He is on the editorial boards of Composites Part B: Engineering, Strain, Mechanical Engineering Science, Smart Materials and Structures and Structural Health Monitoring. All three co-authors are are members of Professor Ostachowicz's research team within Institute of Fluid Flow Machinery at the Polish Academy of Sciences.

Pawel Kudela is a Ph.D. senior researcher at the Institute of Fluid Flow Machinery at the Polish Academy of Sciences.

Marek Krawczuk is Professor at the Institute of Fluid Flow Machinery at the Polish Academy of Sciences.

Arkadiusz Zak is an associate professor at the Institute of Fluid Machinery at the Polish Academy of Sciences.
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