unipvW. Lacarbonara et al. (2004) Nonlinear thermomechanical oscillations of shape-memory devices....

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Unità locale La Sapienza: Walter Lacarbonara Dipartimento di Ingegneria Strutturale e Geotecnica Kick-Off PRIN 2008 Shape memory alloy advanced modeling for industrial and biomedical applications Dipartimento di Ingegneria Strutturale e Geotecnica, 15.11.2010

Transcript of unipvW. Lacarbonara et al. (2004) Nonlinear thermomechanical oscillations of shape-memory devices....

Page 1: unipvW. Lacarbonara et al. (2004) Nonlinear thermomechanical oscillations of shape-memory devices. Int J Solids Stru 41. slow loading rates isothermal regime fast loading rates non-isothermal

Unità locale La Sapienza:

Walter Lacarbonara

Dipartimento di Ingegneria Strutturale e Geotecnica

Kick-Off PRIN 2008

Shape memory alloy advanced modeling for

industrial and biomedical applications

Dipartimento di Ingegneria Strutturale e Geotecnica, 15.11.2010

Page 2: unipvW. Lacarbonara et al. (2004) Nonlinear thermomechanical oscillations of shape-memory devices. Int J Solids Stru 41. slow loading rates isothermal regime fast loading rates non-isothermal

Mitigazione di vibrazioni mediante isteresi

SAPIENZA Grants (2002, 2005, 2010)

Hysteretic friction:

energy dissipation

Hysteretic TMD (tuned mass damper)

wire ropes Macro-scale

wire ropes

Stick matrix

CNT

Slip

CNT-resin layers in composites

carbon nanotubes/resin

Nano/micro-scale

stick-slip with shear lag

Page 3: unipvW. Lacarbonara et al. (2004) Nonlinear thermomechanical oscillations of shape-memory devices. Int J Solids Stru 41. slow loading rates isothermal regime fast loading rates non-isothermal

Millennium Bridge (2000) Ponte MOI (2006)

Burj al-Arab (2002)

Flessibilità di utilizzo

Semplicità della progettazione

Basso costo di installazione

Viscoelastic TMD

TMD using multistage rubber bearings

N. Masaki, Y. Suizu, T. Kamada, T. Fujita, 2004, “Development and applications of tuned/hybrid mass dampers using multi-stage rubber bearings for vibration

control of structures”, 13th World Conference on Earthquake Engineering Vancouver, B.C., Canada, August 1-6, 2004 - Paper No. 2243

Rapporto di massa

0.05 – 0.001

Intervallo di frequenze

0.3 – 30 Hz

Stato dell’arte sui TMD

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Stockbridge damper

G. H. Stockbridge, 1928, “Vibration damper”, U.S. Patent 1,675,391

Stato dell’arte: Stockbridge damper

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TMD lineare vs. TMD isteretico

Utilizzo di un unico dispositivo

Descrizione del legame isteretico attraverso il modello di Bouc-Wen

Viscoelastic TMD Hysteretic TMD

Page 6: unipvW. Lacarbonara et al. (2004) Nonlinear thermomechanical oscillations of shape-memory devices. Int J Solids Stru 41. slow loading rates isothermal regime fast loading rates non-isothermal

Prestazioni del TMD lineare

Mass ratio 2%, Frequency ratio: 0.98, Damping ratio: 8.6%

Nicola Carpineto, 2010, Hysteretic tuned mass dampers for structural vibration mitigation

Dottorato di ricerca in Ingegneria delle Strutture – XXII ciclo.

Page 7: unipvW. Lacarbonara et al. (2004) Nonlinear thermomechanical oscillations of shape-memory devices. Int J Solids Stru 41. slow loading rates isothermal regime fast loading rates non-isothermal

TMD isteretico: modello di Bouc-Wen

Rheological model

Equivalent damping

Page 8: unipvW. Lacarbonara et al. (2004) Nonlinear thermomechanical oscillations of shape-memory devices. Int J Solids Stru 41. slow loading rates isothermal regime fast loading rates non-isothermal

TMD isteretico in una struttura a 1 gdl

Page 9: unipvW. Lacarbonara et al. (2004) Nonlinear thermomechanical oscillations of shape-memory devices. Int J Solids Stru 41. slow loading rates isothermal regime fast loading rates non-isothermal

TMD isteretico (quasilineare)

Page 10: unipvW. Lacarbonara et al. (2004) Nonlinear thermomechanical oscillations of shape-memory devices. Int J Solids Stru 41. slow loading rates isothermal regime fast loading rates non-isothermal

TMD isteretico (softening)

Page 11: unipvW. Lacarbonara et al. (2004) Nonlinear thermomechanical oscillations of shape-memory devices. Int J Solids Stru 41. slow loading rates isothermal regime fast loading rates non-isothermal

Organi isteretici

Model Height Width Isolator

WR2-100 18mm 25mm Wire-rope

WR2-400 25mm 30mm Wire-rope

WR2-800 33mm 38mm Wire-rope

WR3-200 25mm 30mm Wire-rope

WR3-600 33mm 38mm Wire-rope

WR3-800 38mm 43mm Wire-rope

CR4-400 75mm 68mm Compact

Wire-rope

CR5-400 76mm 67mm Compact

Wire-rope

NRB-250 25mm 10 mm Rubber

isolator

NRB-300 30mm 10 mm Rubber

isolator

WRF-1000 100mm 100mm Flexural Wire-

rope

WRF-1000-2 100mm 100mm Flexural Wire-

rope (double)

Wire-rope

Compact

wire-rope

Rubber

isolator

Flexural

wire-rope

Page 12: unipvW. Lacarbonara et al. (2004) Nonlinear thermomechanical oscillations of shape-memory devices. Int J Solids Stru 41. slow loading rates isothermal regime fast loading rates non-isothermal

Prove cicliche su dispositivi isteretici

Wire-rope Test layout

Rubber

Y. Q. Ni, J. M. Ko, C. W. Wong, 1998, “Identification of non-linear hysteretic isolators from periodic vibration tests”, J. Sound Vib., 217, 737-756.

Page 13: unipvW. Lacarbonara et al. (2004) Nonlinear thermomechanical oscillations of shape-memory devices. Int J Solids Stru 41. slow loading rates isothermal regime fast loading rates non-isothermal

Identificazione dei parametri costitutivi

Page 14: unipvW. Lacarbonara et al. (2004) Nonlinear thermomechanical oscillations of shape-memory devices. Int J Solids Stru 41. slow loading rates isothermal regime fast loading rates non-isothermal

Identificazione dei parametri costitutivi

Page 15: unipvW. Lacarbonara et al. (2004) Nonlinear thermomechanical oscillations of shape-memory devices. Int J Solids Stru 41. slow loading rates isothermal regime fast loading rates non-isothermal

Identificazione dei parametri costitutivi

Page 16: unipvW. Lacarbonara et al. (2004) Nonlinear thermomechanical oscillations of shape-memory devices. Int J Solids Stru 41. slow loading rates isothermal regime fast loading rates non-isothermal

Identificazione dei parametri costitutivi

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Progetto del TMD isteretico

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Prove sperimentali: controllo di una trave

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Prove sperimentali

TMD optimized for 0.7 mm

base excitation Mass ratio: 3.1%

Page 20: unipvW. Lacarbonara et al. (2004) Nonlinear thermomechanical oscillations of shape-memory devices. Int J Solids Stru 41. slow loading rates isothermal regime fast loading rates non-isothermal

Prove sperimentali

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Prove sperimentali: forzante armonica

Page 22: unipvW. Lacarbonara et al. (2004) Nonlinear thermomechanical oscillations of shape-memory devices. Int J Solids Stru 41. slow loading rates isothermal regime fast loading rates non-isothermal

Prove sperimentali (random input signal)

Input

Filtered white noise – [10-20] Hz

Durata: 60 s

Page 23: unipvW. Lacarbonara et al. (2004) Nonlinear thermomechanical oscillations of shape-memory devices. Int J Solids Stru 41. slow loading rates isothermal regime fast loading rates non-isothermal

Prove sperimentali (random input signal)

Max RMS

Input Uncontrolled

[g]

Controlled

[g]

Difference

%

Uncontrolled

[g]

Controlled

[g]

Difference

%

a 9.71 9.42 -3.00 3.23 1.79 -44.42

b 8.77 9.71 +10.74 2.47 1.76 -28.86

c 8.51 8.91 +4.71 2.72 1.59 -41.59

d 9.16 8.35 -8.85 2.86 1.65 -42.33

e 9.87 9.76 -2.27 3.09 1.71 -44.56

f 9.21 8.60 -6.65 2.90 1.55 -46.44

g 9.34 8.53 -8.67 3.18 1.55 -51.16

h 9.83 9.37 -4.74 3.38 1.62 -52.08

i 7.31 7.29 -0.20 2.22 1.27 -42.61

Av 9.08 8.88 -2.10 2.89 1.61 -43.78

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Prove sperimentali: video

SAPIENZA Grants (2002, 2005, 2010) – PRIN Grant 2010, Italian Ministry of Scientific Research

TMD masses

rod

Pending patent

Experimental hysteresis loops

Uncontrolled Controlled

Primary resonance of the lowest mode

Hysteretic Vibration Absorber in Action

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Noise reduction with

variable area jet nozzle

Shape Memory Alloys Applications

Page 26: unipvW. Lacarbonara et al. (2004) Nonlinear thermomechanical oscillations of shape-memory devices. Int J Solids Stru 41. slow loading rates isothermal regime fast loading rates non-isothermal

Shape Memory Alloys Applications

Recentering Damping

Device (RDD)

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Shape Memory Alloys Applications

Recentering Damping

Device: Example

Page 28: unipvW. Lacarbonara et al. (2004) Nonlinear thermomechanical oscillations of shape-memory devices. Int J Solids Stru 41. slow loading rates isothermal regime fast loading rates non-isothermal

Shape Memory Alloys Applications

SMA device + energy absorption device Hybrid device =

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A M

A M

Shape-Memory Alloy Devices

W. Lacarbonara et al. (2004) Nonlinear thermomechanical oscillations of shape-memory devices.

Int J Solids Stru 41.

slow loading rates isothermal regime

fast loading rates non-isothermal regime

Nondifferentiable

vector field

Hysteresis

operator

Page 30: unipvW. Lacarbonara et al. (2004) Nonlinear thermomechanical oscillations of shape-memory devices. Int J Solids Stru 41. slow loading rates isothermal regime fast loading rates non-isothermal

=

K elastic stiffness max pseudoel. displ. c specific heat

0 reference temp. (fully Aust. state) tranf. force/temp. slope

a0 internal energy at ref. temp. b0 entropy “ “

Constitutive equations: free energy

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Constitutive equations: transformation kinetic

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Path-following: finite-difference approach

Trajectories

Periodic solutions

Poincarè map

Periodic solutions

Monodromy matrix

: state-control space

Dynamical system:

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Path-following: finite-difference approach

Pseudo-arclength

parametrization

Augmented system (n+1):

Map+normality condition

Newton-Raphson scheme

Central finite differences:

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Shape Memory Alloys: isothermal phase transformations

Shape-Memory Alloy Devices

Page 35: unipvW. Lacarbonara et al. (2004) Nonlinear thermomechanical oscillations of shape-memory devices. Int J Solids Stru 41. slow loading rates isothermal regime fast loading rates non-isothermal

Shape Memory Alloys: non-isothermal phase transformations

Shape-Memory Alloy Devices

non-adiabatic conditions

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Shape Memory Alloys: non-isothermal phase transformations

Shape-Memory Alloy Devices

nearly adiabatic conditions

Page 37: unipvW. Lacarbonara et al. (2004) Nonlinear thermomechanical oscillations of shape-memory devices. Int J Solids Stru 41. slow loading rates isothermal regime fast loading rates non-isothermal

Future directions

SMA Wires for TMDs

nonlinear model for SMA wires under flexure with inter-strand friction

Computational approach

path-following for TMD optimization, best compromise between pseudoelastic

dissipationa and interstrand friction

design methodology

Experiments

cyclic loading tests and identifaction

frequency-response curves of SMA TMD mounted on a 1 dof structure

fatigue testing, temperature effects