This paper deals with the systematic optimization method for multiple input variables (laser irradiation power and scanning speed) in a class of laser-aided powder deposition (LAPD) processes. These processes are normally described by a coupled system of nonlinear partial differential equations (PDEs). To begin with, a desired solid–liquid (S/L) interface geometry is first approximated from a few practical process target parameters that define the desired process properties. Then, the control problem is formulated as one of seeking the optimal combination of process inputs that achieves close tracking of the desired S/L interface in quasi-steady state. The paper details the derivation of the adjoint-based solution for this PDE-constrained multivariable control input optimization problem. The effectiveness of the proposed method is illustrated via a case study on a laser cladding process.
Skip Nav Destination
Article navigation
March 2016
Research-Article
Partial Differential Equation-Based Multivariable Control Input Optimization for Laser-Aided Powder Deposition Processes
Xiaoqing Cao,
Xiaoqing Cao
International Center for Automotive Research,
Clemson University,
4 Research Drive,
Greenville, SC 29607
e-mail: xiaoqin@g.clemson.edu
Clemson University,
4 Research Drive,
Greenville, SC 29607
e-mail: xiaoqin@g.clemson.edu
Search for other works by this author on:
Beshah Ayalew
Beshah Ayalew
Mem. ASME
International Center for Automotive Research,
Clemson University,
4 Research Drive,
Greenville, SC 29607
e-mail: beshah@clemson.edu
International Center for Automotive Research,
Clemson University,
4 Research Drive,
Greenville, SC 29607
e-mail: beshah@clemson.edu
Search for other works by this author on:
Xiaoqing Cao
International Center for Automotive Research,
Clemson University,
4 Research Drive,
Greenville, SC 29607
e-mail: xiaoqin@g.clemson.edu
Clemson University,
4 Research Drive,
Greenville, SC 29607
e-mail: xiaoqin@g.clemson.edu
Beshah Ayalew
Mem. ASME
International Center for Automotive Research,
Clemson University,
4 Research Drive,
Greenville, SC 29607
e-mail: beshah@clemson.edu
International Center for Automotive Research,
Clemson University,
4 Research Drive,
Greenville, SC 29607
e-mail: beshah@clemson.edu
1Corresponding author.
Contributed by the Manufacturing Engineering Division of ASME for publication in the JOURNAL OF MANUFACTURING SCIENCE AND ENGINEERING. Manuscript received June 26, 2014; final manuscript received July 14, 2015; published online October 1, 2015. Assoc. Editor: Jack Zhou.
J. Manuf. Sci. Eng. Mar 2016, 138(3): 031001 (8 pages)
Published Online: October 1, 2015
Article history
Received:
June 26, 2014
Revised:
July 14, 2015
Citation
Cao, X., and Ayalew, B. (October 1, 2015). "Partial Differential Equation-Based Multivariable Control Input Optimization for Laser-Aided Powder Deposition Processes." ASME. J. Manuf. Sci. Eng. March 2016; 138(3): 031001. https://doi.org/10.1115/1.4031265
Download citation file:
Get Email Alerts
Cited By
A Study on the Influence of Polypropylene Melt Flow Index on Nonwoven Fibers Produced Through Hot Melt Centrifugal Spinning
J. Manuf. Sci. Eng (April 2025)
Arc Characteristics of Aluminum Alloy Double-Wire High-Frequency Pulsed GMAW
J. Manuf. Sci. Eng (April 2025)
Related Articles
Understanding Process Parameter Effects of RepRap Open-Source Three-Dimensional Printers Through a Design of Experiments Approach
J. Manuf. Sci. Eng (February,2015)
Simulating Melt Pool Shape and Lack of Fusion Porosity for Selective Laser Melting of Cobalt Chromium Components
J. Manuf. Sci. Eng (January,2017)
Fixturing Effects in the Thermal Modeling of Laser Cladding
J. Manuf. Sci. Eng (January,2017)
Image-Based Slicing and Tool Path Planning for Hybrid Stereolithography Additive Manufacturing
J. Manuf. Sci. Eng (July,2017)
Related Proceedings Papers
Related Chapters
Nuclear Fuel Materials and Basic Properties
Fundamentals of Nuclear Fuel
Getting Ready for Production
Total Quality Development: A Step by Step Guide to World Class Concurrent Engineering
Novel and Efficient Mathematical and Computational Methods for the Analysis and Architecting of Ultralight Cellular Materials and their Macrostructural Responses
Advances in Computers and Information in Engineering Research, Volume 2