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Research Papers

Variable Damping Profiles Using Modal Analysis for Laser Shock Peening Simulation

[+] Author and Article Information
Mohammad I. Hatamleh

Mechanical Engineering Department,
Erik Jonsson School of Engineering
and Computer Science,
The University of Texas at Dallas,
800 W. Campbell Road,
Richardson, TX 75080
e-mail: mih150230@utdallas.edu

Jagannathan Mahadevan

Mechanical Engineering Department,
Erik Jonsson School of Engineering
and Computer Science,
The University of Texas at Dallas,
800 W. Campbell Road,
Richardson, TX 75080
e-mail: jxs152330@utdallas.edu

Arif Malik

Mechanical Engineering Department,
Erik Jonsson School of Engineering
and Computer Science,
The University of Texas at Dallas,
800 W. Campbell Road,
Richardson, TX 75080
e-mail: arif.malik@utdallas.edu

Dong Qian

Mechanical Engineering Department,
Erik Jonsson School of Engineering
and Computer Science,
The University of Texas at Dallas,
800 W. Campbell Road,
Richardson, TX 75080
e-mail: dong.qian@utdallas.edu

1Corresponding author.

Manuscript received May 30, 2017; final manuscript received January 27, 2018; published online March 6, 2018. Assoc. Editor: Hongqiang Chen.

J. Manuf. Sci. Eng 140(5), 051006 (Mar 06, 2018) (12 pages) Paper No: MANU-17-1346; doi: 10.1115/1.4039196 History: Received May 30, 2017; Revised January 27, 2018

The single explicit analysis using time-dependent damping (SEATD) technique for laser shock peening (LSP) simulation employs variable damping to relax the excited model between laser shots, thus distinguishing it from conventional optimum constant damping methods. Dynamic relaxation (DR) is the well-established conventional technique that mathematically identifies the optimum constant damping coefficient and incremental time-step that guarantees stability and convergence while damping all mode shapes uniformly when bringing a model to quasi-static equilibrium. Examined in this research is a new systematic procedure to strive for a more effective, time-dependent variable damping profile for general LSP configurations and boundary conditions, based on excited modal parameters of a given laser-shocked system. The effects of increasing the number of mode shapes and selecting modes by contributed effective masses are studied, and a procedure to identify the most efficient variable damping profile is designed. Two different simulation cases are studied. It is found that the computational time is reduced by up to 25% (62.5 min) for just five laser shots using the presented variable damping method versus conventional optimum constant damping. Since LSP typically involved hundreds of shots, the accumulated savings in computation time during prediction of desired process parameters is significant.

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Figures

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Fig. 2

Flow chart of proposed approach to generate variable damping profile

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Fig. 3

Laser peened plate configuration for case 1 (dimensions in millimeters)

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Fig. 4

Total energy dissipation for variable damping with 10, 50, 75, 100,125, 150, 175, and 200 active modes, and with DR constant damping (case 1)

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Fig. 5

Total energy sensitivity with respect to number of modes (case 1)

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Fig. 6

Total energy dissipation for variable damping with 10, 50, 75, 100, 125, 150, 175, and 200 active modes sorted by decreasing effective mass contribution. Energy dissipation for DR constant damping also shown (case 1).

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Fig. 7

Total energy sensitivity with respect to number of modes, where modes are sorted by decreasing effective mass contribution (case 1)

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Fig. 8

Damping profiles (case 1)

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Fig. 9

Surface residual stresses (case 1)

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Fig. 10

Strain energy history (case 1)

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Fig. 11

Kinetic energy history (case 1)

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Fig. 12

Total energy history (case 1)

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Fig. 13

Laser peened plate configuration for case 2 (dimensions in millimeters)

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Fig. 14

Total energy dissipation for variable damping with 10, 50, 75, 100, 125, 150, 175, and 200 active modes. Energy dissipation for DR constant damping also shown (case 2).

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Fig. 15

Total energy sensitivity with respect to number of modes (case 2)

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Fig. 16

Damping profiles (case 2)

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Fig. 17

Surface residual stresses (case 2)

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Fig. 18

Strain energy history (case 2)

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Fig. 19

Kinetic energy history (case 2)

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Fig. 20

Total energy history (case 2)

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Fig. 21

Laser peened plate configuration for case 1 with five-shot rosette pattern (dimensions in millimeters)

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Fig. 22

Surface residual stresses (case 1) with five LSP shots

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Fig. 23

Laser peened plate configuration for case 2 with five-shot rosette pattern (dimensions in millimeters)

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Fig. 24

Surface residual stresses (case 2) with five LSP shots

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