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Research Papers: Seismic Engineering

Fatigue-Ratcheting Behavior of 6 in Pressurized Carbon Steel Piping Systems Under Seismic Load: Experiments and Analysis

[+] Author and Article Information
A. Ravi Kiran

Reactor Safety Division,
Engg. Hall-7, Bhabha Atomic Research Centre,
Trombay,
Mumbai 400085, India
e-mail: arkiran@barc.gov.in

G. R. Reddy

Reactor Safety Division,
Engg. Hall-7, Bhabha Atomic Research Centre,
Trombay,
Mumbai 400085, India
e-mail: rssred@barc.gov.in

P. N. Dubey

Reactor Safety Division,
Engg. Hall-7, Bhabha Atomic Research Centre,
Trombay,
Mumbai 400085, India
e-mail: pndubey@barc.gov.in

M. K. Agrawal

Reactor Safety Division,
Engg. Hall-7, Bhabha Atomic Research Centre,
Trombay,
Mumbai 400085, India
e-mail: mkagra@barc.gov.in

1Present address: No. 412, Engg. Hall-7, BARC, Trombay, Mumbai 400085, India.

Contributed by the Pressure Vessel and Piping Division of ASME for publication in the JOURNAL OF PRESSURE VESSEL TECHNOLOGY. Manuscript received May 19, 2017; final manuscript received August 23, 2017; published online September 26, 2017. Assoc. Editor: Akira Maekawa.

J. Pressure Vessel Technol 139(6), 061801 (Sep 26, 2017) (15 pages) Paper No: PVT-17-1092; doi: 10.1115/1.4037809 History: Received May 19, 2017; Revised August 23, 2017

This article presents the experimental and numerical studies of fatigue-ratcheting in carbon steel piping systems under internal pressure and earthquake load. Shake table tests are carried out on two identical 6 in pressurized piping systems made of carbon steel of grade SA333 Gr 6. Tests are carried out using similar incremental seismic load till failure. Wavelet analysis is carried to evaluate frequency change during testing. The tested piping systems are analyzed using iterative response spectrum (IRS) method, which is based on fatigue-ratcheting and compared with test results. Effect of thickness variation in elbow on strain accumulation is studied. Excitation level for fatigue-ratcheting failure is also evaluated and the details are given in this paper.

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References

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Figures

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Fig. 1

Photograph of CS piping systems (CSPS-1) test setup

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Fig. 2

Dimensions of CSPS and location of instruments

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Fig. 3

Frequency response function of CSPS-1 in X-direction (for accelerometer, A1X)

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Fig. 4

Frequency response function of CSPS-1 in Y-direction (for accelerometer, A2Y)

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Fig. 5

Frequency response function of CSPS-1 in Z-direction (for accelerometer A3Z)

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Fig. 6

Test response spectrum in X-direction (horizontal) for 2% damping

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Fig. 7

Test response spectrum in Y-direction (horizontal) for 2% damping

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Fig. 8

Test response spectrum in Z-direction (vertical) for 2% damping

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Fig. 9

Shake table input acceleration time history in X-direction (horizontal)

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Fig. 10

Shake table input acceleration time history in Y-direction (horizontal)

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Fig. 11

Shake table input acceleration time history in Z-direction (vertical)

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Fig. 12

Shake table input acceleration time history in X-direction

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Fig. 13

Shake table input acceleration time history in Y-direction

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Fig. 14

Shake table input acceleration time history in Z-direction

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Fig. 15

Acceleration time history of accelerometer, CSPS1-A1X

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Fig. 16

Acceleration time history of accelerometer, CSPS1-A2Y

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Fig. 17

Acceleration time history of accelerometer, CSPS1-A3Z

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Fig. 18

Comparison of peak accelerations from test and corresponding spectral accelerations (Sa): (a) peak accelerations of A1X and Sa in X-direction and (b) peak accelerations of A2Y and Sa in Y-direction

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Fig. 19

Hoop strain time history at crown location of elbow (CSPS1-SG1)

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Fig. 20

Hoop strain time history at crown location of elbow (CSPS1-SG2)

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Fig. 21

Hoop strain time history at crown location of elbow (CSPS1-SG3)

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Fig. 22

Hoop strain time history at crown location of elbow (CSPS1-SG4)

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Fig. 23

Hoop strain time history at Tee junction (CSPS1-SG5)

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Fig. 24

Photograph and location of crack at crown of elbow B-B (CSPS-1): (a) photograph of water jet and (b) location of crack

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Fig. 25

Hoop strain time history at crown location of elbow (CSPS2-SG1)

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Fig. 26

Hoop strain time history at crown location of elbow (CSPS2-SG2)

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Fig. 27

Hoop strain time history at crown location of elbow (CSPS2-SG3)

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Fig. 28

Hoop strain time history at Tee junction (CSPS2-SG5)

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Fig. 29

Photograph and location of crack at crown of elbow A-A (CSPS-2): (a) photograph of water jet and (b) location of crack

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Fig. 30

Time frequency representation of hoop strain time history at Tee joint in the first test (CSPS1-SG5): (a) during the initial period of testing (time interval of 0–200 s) and (b) during the last phase of the test (time interval of 2700–2800 s)

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Fig. 31

Time frequency representation of hoop strain time history at Tee joint in the second test (CSPS2-SG5): (a) during the initial period of testing (time interval of 0–200 s) and (b) during the last phase of the test (time interval of 2700–2800 s)

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Fig. 32

Finite element model of elbow and thickness variation in elbow: (a) finite element model of elbow and (b) thickness variation in elbow model

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Fig. 33

Evaluation of limit displacement of elbow

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Fig. 34

Load line displacement time history at the free end of the pipe

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Fig. 35

Comparison of stable hysteresis loop by Chaboche models with experiment

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Fig. 36

Moment-rotation hysteresis loops for elbows with uniform and variable thickness: (a) moment-rotation hysteresis loops (uniform thickness) and (b) moment-rotation hysteresis loops (“t” variation: CHAB-B)

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Fig. 37

Moment-rotation hysteresis loops and cyclic strain-moment-rotation curves

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Fig. 38

Finite element models of CSPS with elbows and springs: (a) with elbow elements and (b) with springs

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Fig. 39

First mode shape of CSPS with elbows and springs: (a) CSPS with elbows and (b) CSPS with springs

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Fig. 40

Second mode shape of CSPS with elbows and springs: (a) CSPS with elbows and (b) CSPS with springs

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Fig. 41

Third mode shape of CSPS with elbows and springs: (a) CSPS with elbows and (b) CSPS with springs

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Fig. 42

Fourth mode shape of CSPS with elbows and springs: (a) CSPS with elbows and (b) CSPS with springs

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Fig. 43

Comparison of predicted strain accumulation at crown with test results (CSPS-1)

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Fig. 44

Comparison of predicted strain accumulation at crown with test results (CSPS-2)

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Fig. 45

Cyclic strain–moment curves for various internal pressures and the predicted strain for elbow model with variable thickness (“t” variation: CHAB-B)

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Fig. 46

Flow chart for fatigue-ratcheting evaluation of piping system

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