Isogeometric shape optimization of nonlinear, curved 3D beams and beam structures

• Published in: Computer methods in applied mechanics and engineering Vol. 345; pp. 26 - 51
• Main Authors: Weeger, Oliver, Narayanan, Bharath, Dunn, Martin L.
• Format: Journal Article
• Language: English
• Published: Amsterdam Elsevier B.V 01.03.2019; Elsevier BV
• Subjects: 3D beams; Algorithms; Beams (structural); Collocation method; Collocation methods; Curved beams; Curves; Deformation; Formability; Freeform fabrication; Geometrically exact beam theory; Isogeometric analysis; Lattices (mathematics); Mathematical analysis; Mathematical models; Mechanical engineering; Mechanical properties; Metamaterials; Nonlinear equations; Nonlinear optimization; Numerical methods; Sensitivity analysis; Shape optimization; Three dimensional models; Trusses; Isogeometric analysis; Collocation method; Geometrically exact beam theory; 3D beams; Shape optimization; Nonlinear optimization

Straight beams, rods and trusses are common elements in structural and mechanical engineering, but recent advances in additive manufacturing now also enable efficient freeform fabrication of curved, deformable beams and beam structures, such as microstructures, metamaterials and conformal lattices....