Shape transformers for band gaps customization of Bloch-periodic triangular lattice structures

Gasparetto, Victor E. L.; Saad, M. S.; Shield, Stephen

doi:10.2514/6.2021-1915

Cited by 2 publications

(3 citation statements)

References 24 publications

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“…There are a few papers with nonhierarchical topologies that designed their topologies with non-circular cross-sections, namely [69,[82][83][84][85][86][87], but they did not investigate the effect of any change in crosssectional shape might have on the mechanical or energy absorption response of the lattice material. Since advantages to the properties of truss-based lattices for other applications has already been in development (specifically with the use of shape transformers, detailed by Pasini [88]), further research into this area for energy absorption capabilities could yield great results [89][90][91][92].…”

Section: A44 Cross-section Shapementioning

confidence: 99%

“…First proposed by Pasini et al in [172] in 2003 for evaluating the structural efficiency of different cross-sections to bending, shape transformers have since inspired and been used across research interests [88][89][90]92,[173][174][175][176][177][195][196][197][198][199]. Pasini [88], who outlined the use of shape transformers for the optimum selection of lightweight beams, provided indices for material and cross-sectional shape selection to minimize mass while still maintaining a focus on stiffness.…”

Section: Introductionmentioning

confidence: 99%

“…In 2021, Gasparetto et al [89,90,199] combined shape transformers with periodic cellular solids, investigating the effect on mechanical band gap characteristics and wave propagation for the application of lattice materials in vibration filtering. In this literature they found that using shape transformers to modify the microscopic geometric beam parameters could influence the macroscopic mechanical properties of the lattice, specifically its dynamic behavior.…”

Section: Introductionmentioning

confidence: 99%

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Multiscale Impact Mechanics of Additively Manufactured Periodic Cellular Solids

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Cellular materials are well known to have superior weight-specific properties, including Energy Absorption (EA) capabilities, as compared to solid, monolithic materials. Regular periodic lattice materials, which are a subset of cellular materials, are I would like to begin by thanking my supervisor Dr. Mostafa El Sayed, without whom I would have been unable to see this work through to completion. His persistent push to challenge me helped me grow academically and I truly appreciate all of his guidance and encouragement throughout the entire thesis process, which can be rather tense during the best of times but was a unique process to start, continue, and end during a pandemic, which was an ever-present looming shadow.I would also like to acknowledge the guidance of Dr. Muhammet Yalcin, with whom I had the pleasure of working with in 2022 and with whom I am looking forward to finishing the publication of a few additional papers from our work together.I would also like to sincerely thank BOMBARDIER Aerospace, Montreal, together with MITACS, Canada, for their financial support of this research.Additionally, thank you to my peers: Padmassun for his quick and detailed Python and regex help; and Ariane for her Ansys SpaceClaim guidance, supportive words, and the helpful encouragement to simply write a bit of code to do my repetitive tasks automatically.Thank you to my family -mom, dad, and Kael -for their continual support throughout this seemingly unending academic journey. I also owe a great deal of thanks to my close friends -A, S, K, and B -for all of the ways in which they supported me along this perilous road: countless phone and video chats; brunches, bubble tea excursions, dinners, and long walks to help me get out of my apartment; watching cringe TV shows and sharing in my learning of crochet as stress-relievers; passing along their vi ramen recipes that I can't believe I've missed out on for so long; and for simply sticking around.I would also like to thank my therapist -who knows who she is -for her constant support.And lastly, the following events go fully unacknowledged, for they did not positively contribute to my physical nor mental health, cannot be said to have aided any forward progress of this thesis whatsoever and, without them, I surely would have finished sooner: the COVID-19 pandemic and contracting COVID-19; and the passing of my childhood puppy. vii

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