TY - GEN
T1 - Efficient Methods for Flexibility-Based Meso-scale Dynamic Modeling
AU - Khawale, Raj Pradip
AU - Bhattacharyya, Suparno
AU - Bielecki, Dustin
AU - Rai, Rahul
AU - Dargush, Gary
N1 - Publisher Copyright:
© 2024, The Society for Experimental Mechanics, Inc.
PY - 2024
Y1 - 2024
N2 - With the advent of additive manufacturing comes the opportunity to design novel components and systems, especially when one considers hierarchical structures. Our recent work Bielecki et al. (Struct Multidiscip Optim 64(6):3473–3487, 2021); Bielecki et al. (Multiscale compliant topology optimization for twistable wing design. In: AIAA AVIATION 2021 FORUM (2021), pp. 2429) has demonstrated a highly effective framework of multi-scale topology optimization for designing such structures. In this work, we focus on enhancing the efficiency of the analysis at the meso-scale by introducing a new complementary energy formulation. This enables the computationally attractive formulation of parametrically defined filament-based meso-structures of arbitrary path within each unit cell. We have implemented this framework for dynamical problems, specifically, for modal analysis. We considered mass lumping and static condensation within the unit meso-scale cells. Computational experiments are provided to test the robustness, accuracy, and computational efficiency of the approach.
AB - With the advent of additive manufacturing comes the opportunity to design novel components and systems, especially when one considers hierarchical structures. Our recent work Bielecki et al. (Struct Multidiscip Optim 64(6):3473–3487, 2021); Bielecki et al. (Multiscale compliant topology optimization for twistable wing design. In: AIAA AVIATION 2021 FORUM (2021), pp. 2429) has demonstrated a highly effective framework of multi-scale topology optimization for designing such structures. In this work, we focus on enhancing the efficiency of the analysis at the meso-scale by introducing a new complementary energy formulation. This enables the computationally attractive formulation of parametrically defined filament-based meso-structures of arbitrary path within each unit cell. We have implemented this framework for dynamical problems, specifically, for modal analysis. We considered mass lumping and static condensation within the unit meso-scale cells. Computational experiments are provided to test the robustness, accuracy, and computational efficiency of the approach.
KW - Computational mechanics
KW - Energy-based method
KW - FEM
KW - Modal analysis
KW - Structural dynamics
UR - https://www.scopus.com/pages/publications/85174589204
U2 - 10.1007/978-3-031-37007-6_13
DO - 10.1007/978-3-031-37007-6_13
M3 - Conference contribution
AN - SCOPUS:85174589204
SN - 9783031370069
T3 - Conference Proceedings of the Society for Experimental Mechanics Series
SP - 125
EP - 127
BT - Special Topics in Structural Dynamics and Experimental Techniques, Volume 5 - Proceedings of the 41st IMAC, A Conference and Exposition on Structural Dynamics 2023
A2 - Allen, Matthew
A2 - Blough, Jason
A2 - Mains, Michael
PB - Springer
T2 - Proceedings of the 41st IMAC, A Conference and Exposition on Structural Dynamics 2023
Y2 - 13 February 2023 through 16 February 2023
ER -