- Page 1: Unione Europea Università degli St
- Page 6 and 7: Dico grazie infinite a Pierpaolo D
- Page 9: A PAPÀ, MAMMA E PINA, RISPETTIVAME
- Page 12 and 13: 2 3.5. First Conclusions ..........
- Page 14 and 15: 4 Fig. 3.10 - Sampling grid and sna
- Page 16 and 17: 6 Fig. 4.2 - Explicit scheme diagra
- Page 18 and 19: 8 The aim is to obtain a comprehens
- Page 20 and 21: 10 1. INTRODUCTION All civil, mecha
- Page 22 and 23: 12 1.1. GENERAL SHM PARADIGM Damage
- Page 24 and 25: 14 damage mechanisms in composite p
- Page 26 and 27: 16 diagnostics have associated adva
- Page 28 and 29: 18 however, complicated by the mult
- Page 30 and 31: 20 ∆ i 2 where { ( ) } n φi ω =
- Page 32 and 33: 22 the damaged region and that dama
- Page 34 and 35: 24 Most structural elements of aero
- Page 36 and 37: 26 This equation is known as the wa
- Page 38 and 39: 28 Another solution to the wave equ
- Page 40 and 41: 30 ⎛ ⎜ ⎜− k ⎝ 2 − K F 2
- Page 42 and 43: 32 2 2 On the other hand, if ω c <
- Page 44 and 45: 34 the Re ( k) > 0 and Im ( ) > 0 k
- Page 46 and 47: 36 This velocity is called group ve
- Page 48 and 49: 38 cL for the longitudinal mode and
- Page 50 and 51: 40 ν = 2 λ ( λ + µ ) (1.40b) To
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42 wavenumbers. In a plate, in addi
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44 Furthermore, full wavefield meas
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46 EI EI * p p U ≈ U x p + 1 * 2
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48 2.3. STRAIN ENERGY DISTRIBUTUION
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50 i ( −) r ( −) t ( + ) u& ( x
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52 structural damages and discontin
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54 Fig. 3.1 - Laser Vibrometer used
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56 3.1. DESCRIPTION OF THE MEASURE
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58 − The frequency intervals with
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60 Fig. 3.7 - Signal recorded corre
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62 3.3.1. SKIN EXTERNAL SIDE The vi
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64 Analysis grid, 2009 points t=0.0
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66 3.3.3. WEB SIDE ‘1’ The vibr
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68 Fig. 3.17 - Detail of the area p
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70 RMS Fig. 3.19 - RMS map on the s
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72 Fig. 3.21 - Map of the mean squa
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74 Fig. 3.23 - Representation of th
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76 acoustic (travelling) waves over
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78 (a) t = 166ms (c) t=215ms (b) t
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80 (a) t = 68ms (c) t = 117ms (b) t
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82 Fig. 3.29 - RMS of the field of
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84 (a) t = 68 ms (b) t= 93ms (c) t
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86 (a) t = 44ms (c) t = 117ms (b) t
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88 Fig. 3.35 - RMS of the field of
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90 (a) t = 142 ms (b) t= 166 ms (c)
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92 and points 19, 89 and 614 on the
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94 than to what is observed on side
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96 extremity of the abscise axe) an
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98 runs automatically over a larger
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100 Fig. 3.47 - Excitation signal i
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102 (a) (b) Fig. 3.50 - Response of
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104 - it show exactly the reflectio
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106 t = 107ms t = 117ms Fig. 3.52 -
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108 1. The Lamb waves (or guided wa
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110 very fine grid coming from the
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112 The Leap-frog scheme results in
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114 4.2. GEOMETRY OF MODEL The firs
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116 Fig. 4.7 - Panel geometry (late
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118 Fig. 4.8 - Cut-off of the total
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120 4.4. LOADS AND CONSTRAINTS For
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122 Fig. 4.12 - Loads and constrain
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124 Composite properties, whose det
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126 4.7. MODELING OF THE EXAMINED P
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128 shape, but in frequency too is
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130 t= 0.04.2578 ms t=0.071094ms t=
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132 technique, as historical data m
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134 i.e. loading the model with the
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136 [13] Stubbs, N., Osegueda, R.,
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138 [27] Cornwell, P., Doebling, S.