tesi R. Valiante.pdf - EleA@UniSA

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$3Eterov e)ce(te/rou sofo\v to/ te pa/lai to/ te nu=n. Ou ... - EleA@UniSA$

38 cL for the longitudinal mode and c T for the transverse mode. The expressions of these velocities are reported in Eq.1.38 E( 1−ν ) ( 1+ ν )( 1− 2ν ) cL = (1.38a) ρ E cT = (1.38b) 2ρ + ( 1 ν ) where E is the Young’s modulus, ν is the Poisson’s ratio and ρ is the density of the material. A graphical representation of the particle motion for the longitudinal and transverse mode is shown in Fig.1.13. The interactions of these two basic modes with the boundaries generate reflections, refractions and mode conversions [33, 34]. The superpositions of all these waves cause the formation of guided wave modes in the plate, which are infinite. The interest in the present work is focused on stringerized plates. Thus, guided waves in plates are now analyzed: these waves are also known as Lamb waves.
INTRODUCTION 39 Fig. 1.13 - Directions of particle motion for the case of harmonic waves in infinite media Lamb waves, like other elastic waves, can be described in a form of Car<strong>tesi</strong>an tensor notation, as expressed in Eq.1.39 i jj ( λ + µ ) u j ji + ρfi ρu& i µ u + = & (1.39) where i, j = 1, 2, 3, where i u and f i are the deformation and the body force in the i direction, respectively. These equations of motions, which contain only the particle displacements, are the governing partial differential equations for displacement. They are defined through the use of Lame constants, λ and µ , which can be expressed in terms of Young’s modulus and Poisson’s ratio through the relations reported in Eq.1.40. ( 3λ + 2µ ) µ E = (1.40a) λ + µ
Page 1: Unione Europea Università degli St
Page 5 and 6: RINGRAZIAMENTI E’ per me doveroso
Page 7: Vorrei, infine, disporre del vocabo
Page 11 and 12: CONTENTS Abstract of dissertation .
Page 13 and 14: LIST OF FIGURES AND TABLES Fig. 1.1
Page 15 and 16: Fig. 3.32 - : RMS of the field of r
Page 17 and 18: ABSTRACT OF DISSERTATION 7 ABSTRACT
Page 19 and 20: ABSTRACT OF DISSERTATION 9 are: The
Page 21 and 22: INTRODUCTION 11 Ideally, routinely
Page 23 and 24: INTRODUCTION 13 Feature extraction
Page 25 and 26: INTRODUCTION 15 1.3. GLOBAL VERSUS
Page 27 and 28: INTRODUCTION 17 damage. These inves
Page 29 and 30: INTRODUCTION 19 between shifts at v
Page 31 and 32: INTRODUCTION 21 Space Shuttle Orbit
Page 33 and 34: INTRODUCTION 23 1.6. GUIDED WAVES-B
Page 35 and 36: INTRODUCTION 25 Fig. 1.3 - Differen
Page 37 and 38: INTRODUCTION 27 Considering the arg
Page 39 and 40: INTRODUCTION 29 Fig. 1.6 - Differen
Page 41 and 42: INTRODUCTION 31 2 ω c 2 k = 2 ω
Page 43 and 44: INTRODUCTION 33 Fig. 1.8 - Frequenc
Page 45 and 46: INTRODUCTION 35 where 1 1 p1 c k =
Page 47: INTRODUCTION 37 Fig. 1.12 - Group v
Page 51 and 52: INTRODUCTION 41 for very simple cas
Page 53 and 54: INNOVATIVE SHM TECHNIQUES BASED ON
Page 63 and 64: EXPERIMENTAL ANALYSIS 53 3. EXPERIM
Page 65 and 66: EXPERIMENTAL ANALYSIS 55 Fig. 3.3 -
Page 67 and 68: EXPERIMENTAL ANALYSIS 57 same point
Page 73 and 74: EXPERIMENTAL ANALYSIS 63 of the ene
Page 75 and 76: EXPERIMENTAL ANALYSIS 65 Fig. 3.13
Page 79 and 80: EXPERIMENTAL ANALYSIS 69 Analysis g
Page 81 and 82: EXPERIMENTAL ANALYSIS 71 Analysis g
Page 83 and 84: EXPERIMENTAL ANALYSIS 73 and in spa
Page 85 and 86: EXPERIMENTAL ANALYSIS 75 and are tr
Page 87 and 88: EXPERIMENTAL ANALYSIS 77 obtained w
Page 91 and 92: EXPERIMENTAL ANALYSIS 81 (a) t = 68
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EXPERIMENTAL ANALYSIS 89 (a) t = 14
Page 101 and 102:
EXPERIMENTAL ANALYSIS 91 Fig. 3.38
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EXPERIMENTAL ANALYSIS 97 The data p
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EXPERIMENTAL ANALYSIS 101 To increa
Page 113 and 114:
EXPERIMENTAL ANALYSIS 103 Both of t
Page 115 and 116:
EXPERIMENTAL ANALYSIS 105 (a) t = 5
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EXPERIMENTAL ANALYSIS 107 Complete
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FINITE ELEMENT MODELING OF WAVE PRO
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CONCLUSIONS AND FUTURE WORK 131 5.
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CONCLUSIONS AND FUTURE WORK 133 cas
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REFERENCES 135 [6] Rose, J. L. “A
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REFERENCES 137 [20] Ko, J. M., Wong
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REFERENCES 139 [35] J. D. Achenbach
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