Lactice Tower Optimization
Abstract
We have applied the ideas of muscle growth and atrophy to the sizing optimization of truss structures. Our method of trophic integration gradually resizes members to approach an equilibrium target stress. This ensures stress constraints are met, and we can vary this target per-member to meet displacement constraints. This operates during an N-body physical simulation of the structure. A population-based approach is employed using a grid of parameter combinations. We utilize Nvidia’s CUDA architecture for parallel computation of nodes within a structure and structures within a population. With static loads, our numerical results are on-par with recent algorithms (SPX, APOPC, AMGSA) specialized for statically-loaded structures. Our algorithm offers a means of adaptation to complex, dynamic forces, and may be used as an exploratory step in modern search algorithms.
Publication
Paper is in progress.
Students
Jaryd Domine
Hakiem Grant
Wyatt Young
Jason Pipal
Ethan Keene
Collaborators
Dr. Rajesh Vuddandam
Posters
Videos
Student Presentations
Math Day 2020 (Virtual because of COVID-19)
Tarleton State University – Stephenville, Texas April 28 2020
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Reward-Based Truss Optimization for Modern Applications – Jaryd Domine
(Second Place)
GPU Technology Conference 2020 (Online because of COVID-19)
San Jose, Ca, March 22-26 2020
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N-body Adaptive Optimization of Lattice Towers – Jaryd Domine
2020 ASCE Texas Student Symposium
University of Texas at Arlington – Arlington, Texas March 4-7, 2020
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N-body Adaptive Optimization of Lattice Towers – Jaryd Domine (Third place in the research poster division)
123nd Annual Meeting of the Texas Academy of Science
Stephen F. Austin University – Nacogdoches, Texas February 28-29, 2020
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N-body Adaptive Optimization of Lattice Towers – Jaryd Domine (First place in the Mathematics and Computer Science division)
Texas Oklahoma Regional Undergraduate Symposium
Cameron University – Lawton, Ok February 15, 2020
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N-body Adaptive Optimization of Lattice Towers – Jaryd Domine
16th Annual Pathways Student Research Symposium
Texas A&M International University – Laredo, Texas, November 7–8, 2019
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N-body Adaptive Optimization of Lattice Towers – Jaryd Domine
15th Annual Texas Undergraduate Mathematics Conference
University of Texas at Tyler – Tyler, Texas October 25-26, 2019
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N-body Adaptive Optimization of Lattice Towers – Jaryd Domine
Math Day 2019
Tarleton State University – Stephenville, Texas May 2 2019
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N-body Adaptive Optimization of Lattice Towers – Hakiem Grant, Jaryd Domine & Wyatt Young (First place)
Tarleton College of Science and Technology Research Symposium
Tarleton State University – Stephenville, Tx April 4, 2019
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N-body Adaptive Optimization of Lattice Towers – Hakiem Grant, Wyatt Young, Jaryd Domine
99th Annual Meeting of the Texas Section of the MAA
Tarleton State University – Stephenville, Tx March 28 -30, 2019
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N-body Adaptive Optimization of Lattice Towers – Hakiem Grant, Wyatt Young, Jaryd Domine (First place applied mathematics)
122nd Annual Meeting of the Texas Academy of Science
Howard Payne University – Brownwood, Texas March 1-2, 2019
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Evolutionary Algorithm Optimization of Lattice Towers – Wyatt Young (First place in the Physics and Engineering division)
Texas Oklahoma Regional Undergraduate Symposium
Southern Nazarene University – Bethany, Ok February 23, 2019
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Evolutionary Algorithm Optimization of Lattice Towers – Jaryd Domine &Hakiem Grant
14th Annual Texas Undergraduate Mathematics Conference
Stephen F. Austin State University – Nacogdoches, Texas November 2-3, 2018
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Evolutionary Algorithm Optimization of Lattice Towers – Jason Pipal, Ethan Keene, Hakiem Grant
Tarleton Student Research and Creative Activities Symposium
Stephenville, Texas October 11-12, 2018
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Evolutionary Algorithm Optimization of Lattice Towers – Jason Pipal, Ethan Keene, Hakiem Grant & Wyatt Young