An ellipsoidal Newton's iteration method of nonlinear structural systems with uncertain-but-bounded parameters

DOI10.1016/J.CMA.2020.113501zbMath1506.65195OpenAlexW3093860009MaRDI QIDQ2020814

Yanyan Li

Publication date: 26 April 2021

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2020.113501

zbMATH Keywords

optimization problemTaylor series expansionuncertain-but-bounded parametersnonlinear structural systemsellipsoidal Newton's iteration method

Mathematics Subject Classification ID

Free motions for nonlinear problems in mechanics (70K25) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (6)

A credible interval analysis method for uncertain structures under nonprobabilistic framework ⋮ A direct solution method for generalized stochastic eigenvalue problems of structures with random parameters ⋮ Interval strategy-based regularization approach for force reconstruction with multi-source uncertainties ⋮ A Symplectic Conservative Perturbation Series Expansion Method for Linear Hamiltonian Systems with Perturbations and Its Applications ⋮ A symplectic homotopy perturbation method for stochastic and interval Hamiltonian systems and its applications in structural dynamic systems ⋮ Symplectic central difference scheme for quasi-linear autonomous Birkhoffian systems

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