Article
Computer Science, Interdisciplinary Applications
Helen E. Fairclough, Linwei He, Thomas J. Pritchard, Matthew Gilbert
Summary: The new interactive truss layout optimization web-app is versatile and efficient, optimizing designs through numerical and geometry processes while providing user control over complexity and structural volume trade-offs. It supports unstable intermediate truss structures and can be used in educational and practical engineering settings.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2021)
Article
Computer Science, Software Engineering
Caigui Jiang, Chengcheng Tang, Hans-Peter Seidel, Renjie Chen, Peter Wonka
Summary: This paper presents two main ideas to improve truss design: an alternating linear programming problem for geometry optimization, and two sets of complementary topological operations. These ideas form an efficient computational framework for designing lightweight trusses, achieving smaller volumes and faster results compared to recent approaches.
COMPUTER-AIDED DESIGN
(2021)
Article
Computer Science, Interdisciplinary Applications
Hongjia Lu, Andrew Tyas, Matthew Gilbert, Aleksey Pichugin
Summary: This paper discusses the role of transmissible loads in topology optimization, introducing two main formulations and studying their applicability. Through numerical examples and analytical solutions, the authors demonstrate the potential incorrect structural forms generated by the rigid bar formulation in certain situations. Duality principles are invoked to explain the discrepancy between the two formulations, considering both discrete truss and continuum topology optimization formulations.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2021)
Article
Computer Science, Interdisciplinary Applications
Gonzalo Mejias, Tomas Zegard
Summary: This study aims to combine the density-based methods for topology optimization in continuum structures with the (quasi-) optimal discrete element structures, including nonlinear constitutive models. This combined approach can be applied to various problems such as reinforced concrete, reinforced masonry, and fiber-reinforced materials. It breaks down the barrier between the two fields and addresses mathematical and numerical challenges for simultaneous optimization.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2023)
Article
Engineering, Multidisciplinary
S. J. Salt, A. G. Weldeyesus, M. Gilbert, J. Gondzio
Summary: Controlling the frequency response of engineering components or structures is crucial in aerospace and automotive sectors. This paper presents a modified truss layout optimization procedure that incorporates semidefinite constraints to limit the minimum value of the first natural frequency, resulting in a more efficient design. An adaptive algorithm is proposed to solve this problem, successfully identifying modified structures with acceptable minimum first natural frequency response.
ENGINEERING OPTIMIZATION
(2023)
Article
Mathematical & Computational Biology
Ganjun Xu, Ning Dai
Summary: A new method for lightweight gear design based on Michell Trusses Design method was investigated and compared with traditional Topology Optimization method. The research found that the new method significantly reduces design time while maintaining the same power-to-weight ratio as the traditional method, showing promising prospects for applications in mechanical engineering and aviation industry.
MATHEMATICAL BIOSCIENCES AND ENGINEERING
(2021)
Article
Engineering, Civil
Linwei He, Qingpeng Li, Matthew Gilbert, Paul Shepherd, Catherine Rankine, Thomas Pritchard, Vincenzo Reale
Summary: This article introduces a computationally efficient global-local optimization framework for the initial design stage of building or bridge structures. The framework utilizes linear programming for truss layout optimization in the global stage and considers real-world complexity in the local stage. The efficacy of this approach is demonstrated through the application to case study problems.
Article
Computer Science, Interdisciplinary Applications
Grzegorz Kozlowski, Tomasz Sokol
Summary: This paper presents an enhanced growth method for optimal design of plane trusses without the need for a ground structure, using virtual displacements and strains fields. The method has been applied to plastic design with stress and size constraints, and demonstrated reliability and accuracy through three examples.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2022)
Article
Computer Science, Interdisciplinary Applications
Jan Brutting, Gennaro Senatore, Corentin Fivet
Summary: This paper presents a new formulation for discrete sizing and topology optimization of truss structures, which outperforms existing formulations in terms of computational performance.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2022)
Article
Computer Science, Interdisciplinary Applications
Helen E. Fairclough, Matthew Gilbert
Summary: Layout optimization is a powerful method for identifying materially efficient structures, especially in long-span structures. This paper presents three formulations to address the challenges of simulating self-weight and multiple load cases and discusses the strengths and weaknesses of each formulation. Finally, an approach that combines formulations is proposed to better model real-world behavior and reduce computational expense.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2022)
Article
Computer Science, Interdisciplinary Applications
Pierre-Jean Barjhoux, Youssef Diouane, Stephane Grihon, Joseph Morlier
Summary: This paper investigates mixed categorical structural optimization problems. A bi-level decomposition methodology involving a master problem and a slave problem is proposed. The results demonstrate the efficiency of the proposed methodology in solving large-scale mixed categorical structural optimization problems.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2022)
Article
Computer Science, Interdisciplinary Applications
Leyla Mourad, Jeremy Bleyer, Romain Mesnil, Joanna Nseir, Karam Sab, Wassim Raphael
Summary: This study addresses the problem of maximizing a structure's load-bearing capacity with given material strength properties and volume constraints. Using a continuous field representing a fictitious material density, the study formulates topology optimization problems encouraging uniaxial stress fields and proposes an L-1-Rankine criterion. It further discusses the choice of material strength criteria and post-processes continuous topology using the SIMP method.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2021)
Article
Green & Sustainable Science & Technology
Nicolo Pollini
Summary: This paper presents a novel approach for solving the wind farm layout optimization problem by maximizing annual energy production and imposing constraints on the number and spacing of wind turbines. The proposed approach employs a density-based topology optimization method and penalizes intermediate values to optimize the design variables.
Article
Computer Science, Interdisciplinary Applications
Mohammad Shahabsafa, Ramin Fakhimi, Weiming Lei, Sicheng He, Joaquim R. R. A. Martins, Tamas Terlaky, Luis F. Zuluaga
Summary: Kinematic stability is a crucial aspect in the development of mathematical optimization models for truss topology design and sizing optimization problems. A novel mixed integer linear optimization model is proposed in this paper to address the TTDSO problem with discrete cross-sectional areas and Euler buckling constraints. Utilizing random perturbations of external forces ensures kinematically stable structures, with necessary conditions for stability also speeding up the solution of discrete TTDSO problems. Results show that the proposed model can provide optimal or near optimal solutions for trusses with up to 990 bars.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2021)
Article
Engineering, Multidisciplinary
Hongjia Lu, Linwei He, Matthew Gilbert, Filippo Gilardi, Jun Ye
Summary: Additive manufacturing (AM) has rapidly developed and offers the potential to fabricate structurally optimized components. The use of truss topology optimization methods has been effective in identifying optimal forms for highly design free components. However, geometric complexity and overhanging elements often require support structures when using traditional 3-axis AM machines. To eliminate the need for support structures, multi-axis AM machines with 5 or more axes can be used. A novel process-aware truss layout optimization strategy tailored for multi-axis AM machines is proposed in this study, which combines curved printing surface identification with truss layout and geometry optimization. The proposed strategies aim to achieve highly material-efficient structures and fully self-supporting structures with minimal material consumption. The effectiveness of the approach is demonstrated through several examples, showing that fully self-supporting optimized structures can be identified without sacrificing structural performance.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Habeun Choi, Heng Chi, Kyoungsoo Park, Glaucio H. Paulino
Summary: An adaptive mesh morphogenesis method is proposed for coarsening arbitrary unstructured meshes, utilizing a posteriori error estimation and an edge straightening scheme. The method can be recursively conducted, regardless of element type and mesh generation counting. Employing a topology-based data structure to handle mesh modification events, it effectively handles mesh coarsening for arbitrarily shaped elements while capturing problematic regions with sharp gradients or singularity.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
(2021)
Article
Computer Science, Interdisciplinary Applications
Oliver Giraldo-Londono, Miguel A. Aguilo, Glaucio H. Paulino
Summary: The approach is based on an augmented Lagrangian method, effectively solving stress-constrained topology optimization problems for structures subjected to general dynamic loading. Normalizing the penalty term and penalizing constraints associated with high stress values more severely are key strategies employed for handling problems with a large number of stress constraints.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2021)
Article
Computer Science, Interdisciplinary Applications
Oliver Giraldo-Londono, Glaucio H. Paulino
Summary: The study introduces a Matlab implementation for topology optimization of structures under dynamic loads, using various methods and techniques to address structural dynamics problems and solve non-self-adjoint topology optimization problems. Several numerical examples are presented with detailed explanations and summarized in a benchmark problem library.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2021)
Article
Chemistry, Multidisciplinary
Fernando Senhora, Emily D. Sanders, Glaucio H. Paulino
Summary: Spinodal architected materials optimize design of multiscale structures by varying spinodal class, orientation, and porosity, leading to efficient material placement along stress trajectories with enhanced mechanical and biological functions.
ADVANCED MATERIALS
(2022)
Article
Engineering, Mechanical
Fufu Yang, Miao Zhang, Jiayao Ma, Zhong You, Ying Yu, Yan Chen, Glaucio H. Paulino
Summary: Resch patterns are tessellation origami patterns consisting of more than one type of polygons. They are generally rigid foldable but have a large number of degrees of freedom. In order to achieve one-DOF forms of triangular Resch pattern units, the thick-panel technique is employed to replace spherical linkages with spatial linkages. The compatibility among all the vertices is studied by kinematic analysis, and two design schemes are obtained to form a one-DOF origami structure.
MECHANISM AND MACHINE THEORY
(2022)
Article
Computer Science, Interdisciplinary Applications
Diego Salinas, Tomas Zegard
Summary: This study proposes a new method for generating discontinuity surfaces, which can adapt to the irregular and multi-layered composition of discontinuity surfaces in geotechnical engineering. The method can provide a more accurate approximation of the critical failure surface and also consider the effects of groundwater and calculate the safety factor.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2022)
Article
Multidisciplinary Sciences
Qiji Ze, Shuai Wu, Jun Nishikawa, Jize Dai, Yue Sun, Sophie Leanza, Cole Zemelka, Larissa S. Novelino, Glaucio H. Paulino, Ruike Renee Zhao
Summary: Researchers have developed a magnetically actuated small-scale origami crawler with inplane contraction, which can crawl and steer in confined spaces. This crawler has magnetically tunable structural stiffness, allowing it to overcome large resistances, and it has the ability to store and release drugs internally, demonstrating its multifunctionality.
Article
Engineering, Mechanical
Diego Misseroni, Phanisri P. Pratapa, Ke Liu, Glaucio H. Paulino
Summary: This study presents a novel experimental setup for studying the Poisson effects in 2D origami tessellations. The setup was used to measure the Poisson's ratio of the Morph, Miura-ori, and Eggbox patterns, and the results were consistent with theory and simulations. This experimental technique can be applied to investigate other tunable properties of origami metamaterials.
EXTREME MECHANICS LETTERS
(2022)
Article
Chemistry, Multidisciplinary
Ke Liu, Phanisri P. Pratapa, Diego Misseroni, Tomohiro Tachi, Glaucio H. Paulino
Summary: This research explores the geometrical-frustration-induced anisotropy and inhomogeneity to achieve unique properties of metamaterials. Using a triclinic metamaterial system based on a Trimorph origami pattern, a folding motion is created that results in an unusual Poisson effect and reversible auxeticity. Tessellating tristable unit cells produces phenomena resembling linear and point defects due to geometric frustration. This frustration can be reprogrammed into distinct stable and inhomogeneous states by selecting the location of point defects. These findings have potential applications in wave propagation control and compliant microrobots.
ADVANCED MATERIALS
(2022)
Article
Engineering, Multidisciplinary
Fernando V. Senhora, Heng Chi, Yuyu Zhang, Lucia Mirabella, Tsz Ling Elaine Tang, Glaucio H. Paulino
Summary: This article proposes an artificial intelligence approach to accelerate topology optimization, capturing the underlying physics of the problem. The framework demonstrates effectiveness and scalability through various design examples.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2022)
Article
Multidisciplinary Sciences
James McInerney, Glaucio H. Paulino, D. Zeb Rocklin
Summary: This study develops a formalism to investigate the interplay between geometric symmetries and functionality in origami crease patterns. It reveals that the anticommuting symmetry defines a class of crease pattern geometries with equal and opposite Poisson's ratios.
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
(2022)
Article
Computer Science, Interdisciplinary Applications
Oliver Giraldo-Londono, Jonathan B. Russ, Miguel A. Aguilo, Glaucio H. Paulino
Summary: This study presents a formulation for topology optimization of structures with constraints on the first principal stress, solved using the augmented Lagrangian method to consider local stress constraints. Numerical examples demonstrate the effectiveness of the framework for practical problems with numerous local constraints, such as the three-dimensional antenna support bracket with over one million constraints.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2022)
Article
Materials Science, Multidisciplinary
Jonathan B. Russ, Glaucio H. Paulino
Summary: In order to enhance structural resistance to material failure, numerous topology optimization formulations have been proposed. This research extends the former method by constraining local failure criteria in a manner inspired by typical gradient-enhanced damage models. The proposed formulation relies on linear physics during the optimization procedure, greatly increasing its speed and robustness. Additionally, the study investigates the size effect introduced by using a numerical model and provides select observations, such as spurious fin-like patterns that can emerge depending on the structure and loading conditions. Finally, the load capacity of each optimized design is verified through a post-optimization verification procedure unaffected by the design parameterization and material interpolation schemes.
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
(2023)
Article
Multidisciplinary Sciences
Fernando V. Senhora, Ivan F. M. Menezes, Glaucio H. Paulino
Summary: Topology optimization problems often focus on a single or a few discrete load cases, while practical structures are subjected to infinitely many load cases that vary in intensity, location, and direction. This study proposes a locally stress-constrained topology optimization method that considers continuously varying load directions to ensure structural integrity under more realistic loading conditions.
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
(2023)
Article
Computer Science, Interdisciplinary Applications
Gonzalo Mejias, Tomas Zegard
Summary: This study aims to combine the density-based methods for topology optimization in continuum structures with the (quasi-) optimal discrete element structures, including nonlinear constitutive models. This combined approach can be applied to various problems such as reinforced concrete, reinforced masonry, and fiber-reinforced materials. It breaks down the barrier between the two fields and addresses mathematical and numerical challenges for simultaneous optimization.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2023)
