Dual lattice representation for simulation and manufacturing

A system comprising:

• a non-transitory storage medium having instructions of a program stored thereon;
• and
• one or more data processing apparatus configured to run the instructions of the program to
• provide a three-dimensional model of a physical object to be manufactured, wherein the three-dimensional model comprises a dual representation of a lattice structure of the physical object, the dual representation comprising (i) a shell mesh model of the lattice structure and (ii) an additional model of the lattice structure, wherein both the shell mesh model and a solid body model of the lattice structure are producible from the additional model, and beams of the lattice structure in the solid body model are hollow,
• perform numerical simulation using at least the shell mesh model to produce a current numerical assessment,
• modify the additional model of the lattice structure based on the current numerical assessment to change the lattice structure and update the shell mesh model,
• repeat the numerical simulation performance and the additional model modification one or more times until the numerical simulation indicates the lattice structure satisfies at least one response requirement, and
• provide at least the solid body model, produced from the additional model, for use in manufacturing the lattice structure of the physical object using one or more computer-controlled manufacturing systems.

A non-transitory computer-readable medium encoding instructions operable to cause data processing apparatus to perform operations comprising:

• providing a three-dimensional model of a physical object to be manufactured, wherein the three-dimensional model comprises a dual representation of a lattice structure of the physical object, the dual representation comprising (i) a shell mesh model of the lattice structure and (ii) an additional model of the lattice structure, wherein both the shell mesh model and a solid body model of the lattice structure are producible from the additional model, and beams of the lattice structure in the solid body model are hollow;
• performing numerical simulation using at least the shell mesh model to produce a current numerical assessment;
• modifying the additional model of the lattice structure based on the current numerical assessment to change the lattice structure and update the shell mesh model;
• repeating the performing and the modifying one or more times until the numerical simulation indicates the lattice structure satisfies at least one response requirement;
• and
• providing at least the solid body model, produced from the additional model, for use in manufacturing the lattice structure of the physical object using one or more computer-controlled manufacturing systems.