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research-article

Variable Damping Profiles using Modal Analysis for Laser Shock Peening Simulation

[+] Author and Article Information
Mohammad I. Hatamleh

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

Jagannathan Mahadevan

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

Arif S Malik

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

Dong Qian

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

1Corresponding author.

ASME doi:10.1115/1.4039196 History: Received May 30, 2017; Revised January 27, 2018

Abstract

The single explicit analysis using time-dependent damping technique for laser shock peening simulation employs variable damping to relax the excited model between laser shots, thus distinguishing it from conventional optimum constant damping methods. Dynamic relaxation 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 Laser shock peening 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 minutes) for just five laser shots using the presented variable damping method versus conventional optimum constant damping. Since laser shock peening typically involved hundreds of shots, the accumulated savings in computation time during prediction of desired process parameters is significant.

Copyright (c) 2018 by ASME
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