Dimensional reduction of nonlinear finite element dynamic models with finite rotations and energy‐based mesh sampling and weighting for computational efficiency
Tóm tắt
Từ khóa
Tài liệu tham khảo
VeroyK Prud'hommeC RovasD PateraA.A posteriori error bounds for reduced‐basis approximation of parametrized noncoercive and nonlinear elliptic partial differential equations.Proceedings of the 16th AIAA Computational Fluid Dynamics Conference Orlando Florida 2003.
Astrid P, 2004, Reduction of Process Simulation Models: A Proper Orthogonal Decomposition Approach
ChaturantabutS SorensenDC.Discrete empirical interpolation for nonlinear model reduction.Proceedings of the 48th IEEE Conference on Decision and Control held jointly with the 28th Chinese Control Conference IEEE Shanghai China 2009;4316–4321.
MantonJH.A framework for generalising the Newton method and other iterative methods from Euclidean space to manifolds 2012. preprint arXiv:1207.5087.
TournierM ReveretL.Principal geodesic dynamics.Proceedings of the 11th ACM SIGGRAPH/Eurographics Conference on Computer Animation Eurographics Association Singapore Singapore 2012;235–244.
Mäkinen J, 2004, A formulation for flexible multibody mechanics. Lagrangian geometrically exact beam elements using constraint manifold parametrization, Tampere University of Technology, Research Report, 2004, 3
Lawson CL, 1974, Solving Least Squares Problems
SchererR FelczakC HalsteadS.Vehicle and crash‐dummy response to an underbelly blast event.54th Stapp Conference (Oral Only) Scottsdale Arizona 2010.