Abstract
Tessellating a periodic unit cell of lattice material to fill a design space in complex geometries has many challenges arising from their computer-aided design (CAD) modeling intricacy. A solution to this difficulty is the use of trimmed micro-truss lattice structures with a conformal net. This paper presents a novel algorithm for constructing conformal lattice net as wireframe of one-dimensional line segments suitable for Bravais cubic symmetric truss-based topologies. The novel algorithm is an excellent candidate when dealing with lattice structures using cubic, body-centered cubic (BCC), face-centered cubic (FCC), and/or diamond unit cell configurations. The wireframe structure is easily transferred into one-dimensional beam elements for microscale optimizations to obtain a functionally graded lattice material. It is shown that introduction of the lattice net resulted in a significant reduction in the mass of the optimized design.
Highlights
A periodic micro-truss structure, known as truss lattice or lattice material, is generated by tessellating a unit cell in a 2D or a 3D infinite periodicity
The purpose the lattice trimming algorithm is to generate a wireframe structure that can be embedded into any complex geometry
This section will demonstrate the performance of an optimized lattice structure meshed with different lattice topologies when a lattice net is or is not applied to the outside geometry
Summary
A periodic micro-truss structure, known as truss lattice or lattice material, is generated by tessellating a unit cell in a 2D or a 3D infinite periodicity. There exist many methods for modeling truss lattice structures in computer-aided design (CAD) These range from the utilization of voxels to implicit surface definitions to generate the interior and exterior lattice topologies [6,7,8,9]. The work of Aremu et al [6] had successfully developed an algorithm to generate a lattice net for any lattice unit cell This method uses voxels to generate both the interior and the exterior lattice structures. The major contributions of this paper include the development of a robust method to generate the interior trimmed lattice structure in a triangulated closed volume.
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