Simultaneous topology and machine orientation optimization for multiaxis machining

Gasick, Joshua; Qian, Xiaoping

doi:10.1002/nme.6839

Cited by 12 publications

(3 citation statements)

References 34 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Specifically, an advection-diffusion PDE-based filter is adopted that originally models the light projection. The filtering equation is expressed as follows [40],…”

Section: D Topology Optimization Algorithm With Directional Materials...mentioning

confidence: 99%

Geometric Complexity Control in Topology Optimization of 3D-Printed Fiber Composites for Performance Enhancement

Wu,

Liu,

Liu

2024

Materials

View full text Add to dashboard Cite

This paper investigates the impact of varying the part geometric complexity and 3D printing process setup on the resulting structural load bearing capacity of fiber composites. Three levels of geometric complexity are developed through 2.5D topology optimization, 3D topology optimization, and 3D topology optimization with directional material removal. The 3D topology optimization is performed with the SIMP method and accelerated by high-performance computing. The directional material removal is realized by incorporating the advection-diffusion partial differential equation-based filter to prevent interior void or undercut in certain directions. A set of 3D printing and mechanical performance tests are performed. It is interestingly found that, the printing direction affects significantly on the result performance and if subject to the uni direction, the load-bearing capacity increases from the 2.5D samples to the 3D samples with the increased complexity, but the load-bearing capacity further increases for the 3D simplified samples due to directional material removal. Hence, it is concluded that a restricted structural complexity is suitable for topology optimization of 3D-printed fiber composites, since large area cross-sections give more degrees of design freedom to the fiber path layout and also makes the inter-layer bond of the filaments firmer.

show abstract

“…Specifically, an advection-diffusion PDE-based filter is adopted that originally models the light projection. The filtering equation is expressed as follows [40],…”

Section: D Topology Optimization Algorithm With Directional Materials...mentioning

confidence: 99%

Geometric Complexity Control in Topology Optimization of 3D-Printed Fiber Composites for Performance Enhancement

Wu,

Liu,

Liu

2024

Materials

View full text Add to dashboard Cite

show abstract

“…For accessibility, it is difficult to calculate the accessibility cone of each point. In some previous works on topology optimization [6,9,13], partial differential equation (PDE) is introduced to find the accessible regions of a model. In this paper, we give an alternative simple way by considering the accessibility of each sampling direction.…”

Section: Problem Transformationmentioning

confidence: 99%

A Theoretically Complete Surface Segmentation Method for CNC Subtractive Fabrication

Ma¹,

Cheng²,

Shen³

et al. 2023

CSIAM-AM

View full text Add to dashboard Cite

We present a well improved surface segmentation algorithm for 3-axis/3+2axis CNC subtractive fabrication. For a free-form surface (represented by the triangular mesh), to avoid collision with the cutter during complex surface machining, it is essential to segment it into several patches. We transform the surface segmentation problem into a mathematical problem based on energy minimization according to several fabrication constraints, and solved by establishing a weighted graph and searching the minimum cut. Our algorithm has simple structure and is easy to implement. Moreover, the algorithm guarantees correctness and completeness in theory, that is, we prove that the weight of the minimum cut is equivalent to the minimum value of the energy function. Experimental results are provided to illustrate and clarify our method.

show abstract

“…Langelaar [16] built an accumulative filter used to ensure accessibility from a specific direction, and the multi-axis scenario was addressed through aggregation, thereby realizing the topology optimization for multi-axis subtractive machining. Gasick and Qian [17] realized the machining-oriented topology optimization in an alternative way: the Helmholtz-type partial differential equation was adopted to derive the inaccessible field, which was eliminated by configuring accessibility constraints. In regard to casting and injection molding, specific topology optimization methods were developed [18][19][20] with the goal of eliminating undercuts or interior voids.…”

Section: Introductionmentioning

confidence: 99%

Topology Optimization Method of Stamping Structures Based on the Directional Density Field

Yuan,

Geng,

Wang

et al. 2024

Materials

View full text Add to dashboard Cite

The stamping process produces thin-walled structures that, in general, have uniform wall thickness and no enclosed cavity. However, it is difficult to satisfy the above geometric requirements with the current density-based topology optimization method, since configuring the related geometric constraints is challenging. In order to solve this problem, a topology optimization method for stamping structures based on a directional density field is proposed. Specifically, the directional density field is developed to enable the adding and removing of materials only along the stamping direction, so as to avoid internal voids and concave features. The geometric control for uniform wall thickness is realized by tuning the truncation threshold of the Heaviside projection that processes the directional density field into the 0–1 binary field. At the same time, a calibrated filter radius of the truncation thresholds will facilitate the drawing angle control of the stamping ribs. The effectiveness of the established method has been verified by a number of numerical case studies. Results show that the proposed method can perform topology optimization for stamping structures with tunable uniform thickness and drawing angle control of the ribs. No internal voids or undercuts appear in the results. The results also disclose that a constant truncation threshold increment does not guarantee uniform wall thickness, and varying the threshold increments through surface offset and polynomial fitting is necessary.

show abstract

Simultaneous topology and machine orientation optimization for multiaxis machining

Cited by 12 publications

References 34 publications

Geometric Complexity Control in Topology Optimization of 3D-Printed Fiber Composites for Performance Enhancement

Geometric Complexity Control in Topology Optimization of 3D-Printed Fiber Composites for Performance Enhancement

A Theoretically Complete Surface Segmentation Method for CNC Subtractive Fabrication

Topology Optimization Method of Stamping Structures Based on the Directional Density Field

Contact Info

Product

Resources

About