1 . 4 . 4 Estensimetri.............................. 23 . 4 . 3 Ampliﬁcazionedinamica...................... 20a . 4 . 2 Accelerometri............................. 4a . 4 . 1 Celledipressione........................... 2a : 1 2a INDICE

(1)

SCUOLA DI INGEGNERIA E ARCHITETTURA

Dipartimento di ingegneria civile, chimica, ambientale e dei materiali

Corso di Laurea Magistrale in Ingegneria Civile

Tesi di laurea magistrale

ALLEGATO 1: APPENDICE DEI GRAFICI - PARTE 1

Prove su tavola vibrante di un silo metallico a fondo piano:

identificazione dinamica mediante accelerometri

Candidato:

Matteo Marra

Matricola 0000812334

Relatore:

(2)

A

A P P E N D I C E D E I G R A F I C I

:

PA R T E

1

2 a

.4.1

Celle di pressione . . . .

2 a

.4.2

Accelerometri . . . .

4 a

.4.3

Amplificazione dinamica . . . .

20

(3)

A

A P P E N D I C E D E I G R A F I C I : PA R T E 1

T E S T S I N C O N F I G U R A Z I O N E A B A S E F I S S A

A

.4.1

Celle di pressione

Fase di riempimento

0 20 40 60 80 100 120 140 160 180

t [min]

-0.2 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8

TOTAL pressure [N/cm2]

Total pressure - filling phase

chan56 - cell 1 chan57 - cell 2 chan58 - cell 3 chan59 - cell 4

Pressione statica

0

50

100

150 n° test

0

0.2

0.4

0.6

0.8

1

1.2

1.4

1.6

1.8

2 static pressure [N/cm

2

]

static pressure trend during the tests - fixed configuration

stat cell 1 stat cell 2 stat cell 3 stat cell 4

(4)

Sovrappressione dinamica durante i test

0

0.1

0.2

0.3

0.4

0.5

0.6 acceleration [g]

0

0.5

1

1.5

2

2.5

3

3.5

4 dynamic overpressure [N/cm

2

]

dynamic cell1 dynamic cell2 dynamic cell3 dynamic cell4

(a) input sinusoidale

0

0.1

0.2

0.3

0.4

0.5

0.6 acceleration [g]

0

0.5

1

1.5

2

2.5

3

3.5

4 dynamic overpressure [N/cm

2

]

(b) input sinusoidale (dopo compattazione)

0

0.1

0.2

0.3

0.4

0.5

0.6 acceleration [g]

0

0.5

1

1.5

2

2.5

3

3.5

4 dynamic overpressure [N/cm

2

]

(c) input terremoto A1

0

0.1

0.2

0.3

0.4

0.5

0.6 acceleration [g]

0

0.5

1

1.5

2

2.5

3

3.5

4 dynamic overpressure [N/cm

2

]

(d) input terremoto RS1

0

0.1

0.2

0.3

0.4

0.5

0.6 acceleration [g]

0

0.5

1

1.5

2

2.5

3

3.5

4 dynamic overpressure [N/cm

2

]

(5)

A.4.2 Accelerometri

• Sinusoide 0.3 g

-5

0

5

10

15

20

25

30

35 time [s]

-0.4

-0.3

-0.2

-0.1

0

0.1

0.2

0.3

0.4 acceleration [g]

Test45 - external monoaxial accelerometers - RESET

chan0

chan1

chan5

chan7

chan9

chan11

chan13

chan15

chan17

-0.05

0

0.05

0.1

0.15

0.2

0.25

0.3

0.35 acceleration [g]

Test45 - ZOOM external monoaxial accelerometers - RESET

chan0

chan1

chan5

chan7

chan9

chan11

chan13

chan15

(6)

• Sinusoide 0.5 g

-5

0

5

10

15

20

25

30

35

40

45 time [s]

-0.6

-0.4

-0.2

0

0.2

0.4

0.6 acceleration [g]

Test76 - external monoaxial accelerometers - RESET

chan0

chan1

chan5

chan7

chan9

chan11

chan13

chan15

chan17

17.15

17.2

17.25

17.3

17.35

17.4

17.45

17.5

17.55

17.6 -0.02

-0.015

-0.01

-0.005

0

0.005

0.01

0.015 acceleration [g]

Test76 - ZOOM external monoaxial accelerometers - RESET

chan0

chan1

chan5

chan7

chan9

chan11

chan13

chan15

chan17

(7)

• Sinusoide 0.3 g dopo compattazione

-5

0

5

10

15

20

25

30 time [s]

-0.4

-0.3

-0.2

-0.1

0

0.1

0.2

0.3

0.4 acceleration [g]

Test111 - external monoaxial accelerometers - RESET

chan0

chan1

chan5

chan7

chan9

chan11

chan13

chan15

chan17

-0.3

-0.2

-0.1

0

0.1

0.2

0.3 acceleration [g]

Test111 - ZOOM external monoaxial accelerometers - RESET

chan0

chan1

chan5

chan7

chan9

chan11

chan13

chan15

(8)

• Sinusoide 0.5 g dopo compattazione

-5

0

5

10

15

20

25

30 time [s]

-0.6

-0.4

-0.2

0

0.2

0.4

0.6 acceleration [g]

Test121 - external monoaxial accelerometers - RESET

chan0

chan1

chan5

chan7

chan9

chan11

chan13

chan15

chan17

17.15

17.2

17.25

17.3

17.35

17.4

17.45

17.5

17.55

17.6 -0.3

-0.2

-0.1

0

0.1

0.2

0.3

0.4

0.5

0.6 acceleration [g]

Test121 - ZOOM external monoaxial accelerometers - RESET

chan0

chan1

chan5

chan7

chan9

chan11

chan13

chan15

chan17

(9)

• Terremoto A1 0.1 g

-12

-10

-8

-6

-4

-2

0

2

4 acceleration [g]

×10

-3

Test16 - ZOOM external monoaxial accelerometers - RESET

chan0

chan1

chan5

chan7

chan9

chan11

chan13

chan15

(10)

• Terremoto A1 0.3 g

17.15

17.2

17.25

17.3

17.35

17.4

17.45

17.5

17.55

17.6 -8

-6

-4

-2

0

2

4

6 acceleration [g]

×10

-3

Test51 - ZOOM external monoaxial accelerometers - RESET

chan0

chan1

chan5

chan7

chan9

chan11

chan13

chan15

chan17

(11)

• Terremoto A1 0.5 g

-0.02

-0.01

0

0.01

0.02

0.03 acceleration [g]

Test83 - ZOOM external monoaxial accelerometers - RESET

chan0

chan1

chan5

chan7

chan9

chan11

chan13

chan15

(12)

• Terremoto A1 0.6 g

17.15

17.2

17.25

17.3

17.35

17.4

17.45

17.5

17.55

17.6 -20

-15

-10

-5

0

5 acceleration [g]

×10

-3

Test125 - ZOOM external monoaxial accelerometers - RESET

chan0

chan1

chan5

chan7

chan9

chan11

chan13

chan15

chan17

(13)

• Terremoto RS1 0.1 g

-0.05

0

0.05

0.1

0.15 acceleration [g]

Test13 - ZOOM external monoaxial accelerometers - RESET

chan0

chan1

chan5

chan7

chan9

chan11

chan13

chan15

(14)

• Terremoto RS1 0.3 g

-20

0

20

40

60

80

100

120 time [s]

-0.4

-0.3

-0.2

-0.1

0

0.1

0.2

0.3

0.4 acceleration [g]

Test48 - external monoaxial accelerometers - RESET

chan0

chan1

chan5

chan7

chan9

chan11

chan13

chan15

chan17

17.15

17.2

17.25

17.3

17.35

17.4

17.45

17.5

17.55

17.6 -0.1

-0.05

0

0.05

0.1

0.15

0.2 acceleration [g]

Test48 - ZOOM external monoaxial accelerometers - RESET

chan0

chan1

chan5

chan7

chan9

chan11

chan13

chan15

chan17

(15)

• Terremoto RS1 0.5 g

-0.2

-0.1

0

0.1

0.2

0.3 acceleration [g]

Test80 - ZOOM external monoaxial accelerometers - RESET

chan0

chan1

chan5

chan7

chan9

chan11

chan13

chan15

(16)

• Terremoto RS1 0.6 g

-20

0

20

40

60

80

100

120 time [s]

-0.8

-0.6

-0.4

-0.2

0

0.2

0.4

0.6

0.8 acceleration [g]

Test123 - external monoaxial accelerometers - RESET

chan0

chan1

chan5

chan7

chan9

chan11

chan13

chan15

chan17

17.15

17.2

17.25

17.3

17.35

17.4

17.45

17.5

17.55

17.6 -0.015

-0.01

-0.005

0

0.005

0.01

0.015 acceleration [g]

Test123 - ZOOM external monoaxial accelerometers - RESET

chan0

chan1

chan5

chan7

chan9

chan11

chan13

chan15

chan17

(17)

• Terremoto RS3 0.1 g

-0.06

-0.04

-0.02

0

0.02

0.04

0.06

0.08

0.1 acceleration [g]

Test19 - ZOOM external monoaxial accelerometers - RESET

chan0

chan1

chan5

chan7

chan9

chan11

chan13

chan15

(18)

• Terremoto RS3 0.3 g

17.15

17.2

17.25

17.3

17.35

17.4

17.45

17.5

17.55

17.6 -0.08

-0.06

-0.04

-0.02

0

0.02

0.04

0.06

0.08 acceleration [g]

Test55 - ZOOM external monoaxial accelerometers - RESET

chan0

chan1

chan5

chan7

chan9

chan11

chan13

chan15

chan17

(19)

• Terremoto RS3 0.5 g

-0.1

0

0.1

0.2

0.3

0.4 acceleration [g]

Test86 - ZOOM external monoaxial accelerometers - RESET

chan0

chan1

chan5

chan7

chan9

chan11

chan13

chan15

(20)

• Terremoto RS3 0.6 g

17.15

17.2

17.25

17.3

17.35

17.4

17.45

17.5

17.55

17.6 -0.025

-0.02

-0.015

-0.01

-0.005

0

0.005

0.01

0.015

0.02 acceleration [g]

Test124 - ZOOM external monoaxial accelerometers - RESET

chan0

chan1

chan5

chan7

chan9

chan11

chan13

chan15

chan17

(21)

A.4.3 Amplificazione dinamica

• Sinusoide

0

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1 max acceleration [g]

-1

0

1

2

3

4

5

6 height [m]

1Hz sinusoidal input after compaction external accelerometers (mean value) - RESET

1.00 1.04 1.00 1.00 1.00 1.01 1.03 1.05 Top roof Base roof Level of grain RC plate Shaking table 1.00 1.04 1.00 1.00 1.00 1.01 1.02 1.06 Top roof Base roof Level of grain RC plate Shaking table 1.00 1.02 1.01 1.00 1.01 1.01 1.02 1.05 Top roof Base roof Level of grain RC plate Shaking table 1.00 1.02 1.00 1.00 1.01 1.01 1.03 1.02 Top roof Base roof Level of grain RC plate Shaking table

Test106

Test111

Test116

Test121

• Sinusoide dopo compattazione

0

1

2

3

4

5

6 height [m]

1Hz sinusoidal input before compaction external accelerometers (mean value) - RESET

1.00 1.05 1.00 0.99 1.00 1.01 1.05 1.04 Top roof Base roof Level of grain RC plate Shaking table 1.00 1.04 1.00 1.00 1.01 1.01 1.05 1.00 Top roof Base roof Level of grain RC plate Shaking table 1.00 1.03 1.00 1.01 1.01 1.01 1.03 1.02 Top roof Base roof Level of grain RC plate Shaking table 1.00 1.01 1.00 1.00 1.00 1.00 1.03 1.03 Top roof Base roof Level of grain RC plate Shaking table

Test26

Test45

Test59

(22)

• Terremoto A1

0

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1 max acceleration [g]

-1

0

1

2

3

4

5

6 height [m]

a1 earthquake input external accelerometers (mean value) - RESET

1.00 0.98 0.99 1.13 1.25 1.33 1.51 1.69 Top roof Base roof Level of grain RC plate Shaking table 1.00 1.01 1.00 1.07 1.16 1.21 1.36 1.49 Top roof Base roof Level of grain RC plate Shaking table 1.00 1.00 1.02 1.02 1.06 1.11 1.19 1.26 Top roof Base roof Level of grain RC plate Shaking table 1.00 1.00 1.01 1.03 1.05 1.09 1.17 1.24 Top roof Base roof Level of grain RC plate Shaking table 1.00 1.02 1.06 1.08 1.09 1.12 1.19 1.27 Top roof Base roof Level of grain RC plate Shaking table 1.00 1.01 1.02 1.05 1.07 1.09 1.17 1.23 Top roof Base roof Level of grain RC plate Shaking table

Test16

Test34

Test51

Test66

Test83

Test125

• Terremoto RS1

0

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1 -1

0

1

2

3

4

5

6 height [m]

rs1 earthquake input external accelerometers (mean value) - RESET

Test13

Test31

Test48

Test62

Test80

Test123

(23)

• Terremoto RS3

0

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1 max acceleration [g]

-1

0

1

2

3

4

5

6 height [m]

rs3 earthquake input external accelerometers (mean value) - RESET

Test19

Test38

Test55

Test69

Test86

Test122

(24)

A.4.4 Estensimetri

Riempimento

Quota z = 42 cm

0 20 40 60 80 100 120 140 160 180 time [min] -200 -150 -100 -50 0 50 100 150 200 250 strain [10 -6]

FILLING - strain gauges stiffener4- z =42 cm

Strain gauges chan-26stiffener4 Strain gauges chan-25stiffener4 Strain gauges chan-24stiffener4

0 20 40 60 80 100 120 140 160 180 time [min] -250 -200 -150 -100 -50 0 50 100 150 200 strain [10 -6]

0 20 40 60 80 100 120 140 160 180 time [min] -100 -50 0 50 100 150 200 250 strain [10 -6]

0 20 40 60 80 100 120 140 160 180 time [min] -150 -100 -50 0 50 100 150 200 250 strain [10 -6]

0 50 100 150 200 250 strain [10 -6]

(25)

Quota z = 49 cm

0

20

40

60

80

100

120

140

160

180 time [min]

-50

0

50

100

150

200

250

300 strain [10

-6

]

FILLING - strain gauges stiffener7- z =49 cm

Strain gauges chan-40stiffener7 Strain gauges chan-39stiffener7

0

20

40

60

80

100

120

140

160

180 time [min]

-50

0

50

100

150

200

250

300 strain [10

-6

]

FILLING - strain gauges stiffener8- z =49 cm

(26)

Quota z = 150 cm

0

20

40

60

80

100

120

140

160

180 time [min]

-50

0

50

100

150

200

250 strain [10

-6

]

FILLING - strain gauges stiffener4- z =150 cm

0

20

40

60

80

100

120

140

160

180 time [min]

-50

0

50

100

150

200

250 strain [10

-6

]

FILLING - strain gauges stiffener8- z =150 cm

(27)

Quota z = 250 cm

0

20

40

60

80

100

120

140

160

180 time [min]

-50

0

50

100

150

200

250

300 strain [10

-6

]

FILLING - strain gauges stiffener8- z =250 cm

(28)

Tests

• Sinusoide 0.3 g

Quota z = 42 cm

-5 0 5 10 15 20 25 30 35 time [s] -250 -200 -150 -100 -50 0 50 100 150 200 250 strain [10 -6]

Test45 - strain gauges stiffener4- z =42 cm

-5 0 5 10 15 20 25 30 35 time [s] -250 -200 -150 -100 -50 0 50 100 150 200 250 strain [10 -6]

-200 -150 -100 -50 0 50 100 150 200 250 strain [10 -6]

(29)

Quota z = 49 cm

-5 0 5 10 15 20 25 30 35 time [s] -250 -200 -150 -100 -50 0 50 100 150 200 250 strain [10 -6]

(30)

Quota z = 150 cm

-5 0 5 10 15 20 25 30 35 time [s] -250 -200 -150 -100 -50 0 50 100 150 200 250 strain [10 -6]

(31)

Quota z = 250 cm

-5

0

5

10

15

20

25

30

35 time [s]

-250

-200

-150

-100

-50

0

50

100

150

200

250 strain [10

-6

]

Test45 - strain gauges stiffener8- z =250 cm

(32)

• Sinusoide 0.5 g

Quota z = 42 cm

-5 0 5 10 15 20 25 30 35 40 45 time [s] -250 -200 -150 -100 -50 0 50 100 150 200 250 strain [10 -6]

-200 -150 -100 -50 0 50 100 150 200 250 strain [10 -6]

(33)

Quota z = 49 cm

-5 0 5 10 15 20 25 30 35 40 45 time [s] -250 -200 -150 -100 -50 0 50 100 150 200 250 strain [10 -6]

(34)

Quota z = 150 cm

-5 0 5 10 15 20 25 30 35 40 45 time [s] -250 -200 -150 -100 -50 0 50 100 150 200 250 strain [10 -6]

(35)

Quota z = 250 cm

-5

0

5

10

15

20

25

30

35

40

45 time [s]

-250

-200

-150

-100

-50

0

50

100

150

200

250 strain [10

-6

]

Test76 - strain gauges stiffener8- z =250 cm

(36)

• Sinusoide dopo compattazione 0.3 g

Quota z = 42 cm

-5 0 5 10 15 20 25 30 time [s] -250 -200 -150 -100 -50 0 50 100 150 200 250 strain [10 -6]

-200 -150 -100 -50 0 50 100 150 200 250 strain [10 -6]

(37)

Quota z = 49 cm

-5 0 5 10 15 20 25 30 time [s] -250 -200 -150 -100 -50 0 50 100 150 200 250 strain [10 -6]

(38)

Quota z = 150 cm

-5 0 5 10 15 20 25 30 time [s] -250 -200 -150 -100 -50 0 50 100 150 200 250 strain [10 -6]

(39)

Quota z = 250 cm

-5

0

5

10

15

20

25

30 time [s]

-250

-200

-150

-100

-50

0

50

100

150

200

250 strain [10

-6

]

Test111 - strain gauges stiffener8- z =250 cm

(40)

• Sinusoide dopo compattazione 0.5 g

Quota z = 42 cm

-5 0 5 10 15 20 25 30 time [s] -250 -200 -150 -100 -50 0 50 100 150 200 250 strain [10 -6]

-200 -150 -100 -50 0 50 100 150 200 250 strain [10 -6]

(41)

Quota z = 49 cm

-5 0 5 10 15 20 25 30 time [s] -250 -200 -150 -100 -50 0 50 100 150 200 250 strain [10 -6]

(42)

Quota z = 150 cm

-5 0 5 10 15 20 25 30 time [s] -250 -200 -150 -100 -50 0 50 100 150 200 250 strain [10 -6]