On the co-rotational method for geometrically nonlinear topology optimization
Peter D. Dunning · 2020 · Structural and Multidisciplinary Optimization
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Abstract
Abstract This paper investigates the application of the co-rotational method to solve geometrically nonlinear topology optimization problems. The main benefit of this approach is that the tangent stiffness matrix is naturally positive definite, which avoids some numerical issues encountered when using other approaches. Three different methods for constructing the tangent stiffness matrix are investigated: a simplified method, where the linear elastic stiffness matrix is simply rotated; the consistent method, where the tangent stiffness is derived by differentiating residual forces by displacem
Abstract by Peter D. Dunning, Structural and Multidisciplinary Optimization (2020) — licensed CC BY 4.0.
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Metadata source: OpenAlex · DOI 10.1007/s00158-020-02605-4