A stress-based topology optimization method by a Voronoi tessellation Additive Manufacturing oriented

Cucinotta, Filippo; Raffaele, Marcello; Salmeri, Fabio

doi:10.1007/s00170-019-03676-4

Cited by 23 publications

(8 citation statements)

References 22 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Cucinotta et al. (2019) introduced a stress‐based topology optimization method for digitally manufactured objects. Fantini and Curto (2018) and Liu et al.…”

Section: Related Workmentioning

confidence: 99%

Vorogrid: A static‐aware variable‐density Voronoi mesh to design the tube structure tessellation of tall buildings

Laccone

Gaudioso

Malomo

et al. 2022

Computer aided Civil Eng

View full text Add to dashboard Cite

In the context of tall building design, the tube concept represents one of the most performing systems. The diagrid is the widespread type of tube system and consists of a diagonal grid of beams that wraps the building, forming a diamond pattern. It performs as lateral bracing and is additionally able to sustain vertical loading through axial forces. Despite its efficiency, a growing interest is recently observed in alternative geometries to replace the diagrid pattern and improve the architectural impact conferred by the building skin aesthetics on the urban environment. The paper pursues the use of a Voronoi mesh, in which the geometry of the cells is steered to known schemes for the structural design of a cantilever tube structure. The objective is to mimic a macroscopic structural behavior through a topology and size modification of the Voronoi mesh that increases the density for creating resisting paths with higher stiffness. The paper proposes a novel method Vorogrid for designing a new class of tall buildings equipped with an organiclooking and mechanically sound tube structure, which makes them a valuable alternative to competitors (diagrid, hexagrid, random Voronoi). Diagrids and hexagrids still remain more efficient in terms of forces and displacements but are characterized by a more usual appearance, instead Vorogrid offers more design control and better performances on average with respect to random Voronoi structures. This method is streamed into a pipeline that includes grid initialization strategies, geometric and structural optimization to mitigate the effects of the grid randomness, and structural sizing.

show abstract

“…Cucinotta et al. (2019) introduced a stress‐based topology optimization method for digitally manufactured objects. Fantini and Curto (2018) and Liu et al.…”

Section: Related Workmentioning

confidence: 99%

Vorogrid: A static‐aware variable‐density Voronoi mesh to design the tube structure tessellation of tall buildings

Laccone

Gaudioso

Malomo

et al. 2022

Computer aided Civil Eng

View full text Add to dashboard Cite

show abstract

“…In the state of the art, most of the computational design of Voronoi structures in a specific physical context relies on non‐gradient or procedural algorithms for the design parameter exploration. Instances include, 23 which optimizes the Voronoi structure by distributing the site points heuristically according to the structure's stress, 24 which initializes Voronoi site points inside high‐density boundaries according to standard topology optimization results, and Reference 25, which iteratively deleting and adding site points to obtain a desired stress distribution on the surface. None of the above methods optimizes a Voronoi structure based on continuous sensitivity analysis.…”

Section: Introductionmentioning

confidence: 99%

Cellular topology optimization on differentiable Voronoi diagrams

Fan

Xiong

Liu

et al. 2022

Numerical Meth Engineering

View full text Add to dashboard Cite

Cellular structures manifest their outstanding mechanical properties in many biological systems. One key challenge for designing and optimizing these geometrically complicated structures lies in devising an effective geometric representation to characterize the system's spatially varying cellular evolution driven by objective sensitivities. A conventional discrete cellular structure, for example, a Voronoi diagram, whose representation relies on discrete Voronoi cells and faces, lacks its differentiability to facilitate large‐scale, gradient‐based topology optimizations. We propose a topology optimization algorithm based on a differentiable and generalized Voronoi representation that can evolve the cellular structure as a continuous field. The central piece of our method is a hybrid particle‐grid representation to encode the previously discrete Voronoi diagram into a continuous density field defined in a Euclidean space. Based on this differentiable representation, we further extend it to tackle anisotropic cells, free boundaries, and functionally‐graded cellular structures. Our differentiable Voronoi diagram enables the integration of an effective cellular representation into the state‐of‐the‐art topology optimization pipelines, which defines a novel design space for cellular structures to explore design options effectively that were impractical for previous approaches. We showcase the efficacy of our approach by optimizing cellular structures with up to thousands of anisotropic cells, including femur bone and Odonata wing.

show abstract

“…In 2019, Cucinotta et al proposed a 2D TO method based on a new algorithm developed in the Rhinoceros-Grasshopper environment (grasshopper3d.com) [9,10] based on a Voronoi tessellation. In this work, the authors present an important evolution of that method, with a 3D-volume application and the use of a reticular structure, instead of the hollowing.…”

Section: Introductionmentioning

confidence: 99%

A Topology Optimization Method for Stochastic Lattice Structures

Cucinotta

Raffaele

Salmeri

2021

Lecture Notes in Mechanical Engineering

Self Cite

View full text Add to dashboard Cite

Stochastic lattice structures are very powerful solutions for filling three-dimensional spaces using a generative algorithm. They are suitable for 3D printing and are well appropriate to structural optimization and mass distribution, allowing for high-performance and low-weight structures. The paper shows a method, developed in the Rhino-Grasshopper environment, to distribute lattice structures until a goal is achieved, e.g. the reduction of the weight, the harmonization of the stresses or the limitation of the strain. As case study, a cantilever beam made of Titan alloy, by means of SLS technology has been optimized. The results of the work show the potentiality of the methodology, with a very performing structure and low computational efforts.

show abstract

A stress-based topology optimization method by a Voronoi tessellation Additive Manufacturing oriented

Cited by 23 publications

References 22 publications

Vorogrid: A static‐aware variable‐density Voronoi mesh to design the tube structure tessellation of tall buildings

Vorogrid: A static‐aware variable‐density Voronoi mesh to design the tube structure tessellation of tall buildings

Cellular topology optimization on differentiable Voronoi diagrams

A Topology Optimization Method for Stochastic Lattice Structures

Contact Info

Product

Resources

About