{"schema_version":"1.0","canonical_url":"https://patentable.app/patents/US-11501032","patent":{"patent_number":"US-11501032","title":"Surface developability constraint for density-based topology optimization","assignee":null,"inventors":[],"filing_date":"2020-01-31T00:00:00.000Z","publication_date":"2022-11-15T00:00:00.000Z","cpc_codes":["G06F","G06F","G06F","G06F","G06F","G06F","G06T","G06F","G06F"],"num_claims":17,"abstract":"Methods are provided for designing a structure with developable surfaces using a surface developability constraint. The surface developability constraint is developed based on the discovery of a sufficient condition for surface piecewise developability, namely surface normal directions lie on a small, finite number of planes. Automated methods and algorithms may include providing a design domain and a characteristic function of a material in the design domain to be optimized. The methods include defining a nodal density of the material, and determining surface normal directions of a plurality of planes. A density gradient that describes the surface normal directions is then determined. The methods include performing a topology optimization process on the design domain using a surface developability constraint that is based, at least in part, on the characteristic function. A geometric domain is then created for the structure using results from the topology optimization."},"analysis":{"summary":null,"layman_explanation":null,"technical_analysis":null,"business_analysis":null,"faqs":null,"topics":[],"tech_cluster":null},"seo":{"title":"Surface developability constraint for density-based topology optimization","description":"Methods are provided for designing a structure with developable surfaces using a surface developability constraint. The surface developability constraint is developed based on the discovery of a suffi","keywords":[]},"attribution":{"source":"Patentable","source_url":"https://patentable.app","canonical_url":"https://patentable.app/patents/US-11501032","license":"CC-BY-4.0-like","license_terms":"AI-generated analysis on this page (summary, layman_explanation, technical_analysis, business_analysis, faqs) may be reused with attribution and a visible link back to the canonical URL above. Patent abstracts, claims, and bibliographic data are USPTO public domain.","required_link":"https://patentable.app/patents/US-11501032","citation_suggestion":"Patentable. \"Surface developability constraint for density-based topology optimization\" (US-11501032). https://patentable.app/patents/US-11501032","copyright_holder":"Nomic Interactive Technology LLC"},"links":{"html":"https://patentable.app/patents/US-11501032","json":"https://patentable.app/api/llm-context/US-11501032","site":"https://patentable.app","llms_txt":"https://patentable.app/llms.txt"},"generated_at":"2026-05-30T23:24:13.298Z"}