Optimal structural design of a planar parallel platform for machining

DOI10.1016/S0307-904X(03)00070-2zbMath1078.70011MaRDI QIDQ1433248

Albert A. Groenwold, Craig S. Long, Johannes Arnoldus Snyman

Publication date: 15 June 2004

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

zbMATH Keywords

weight optimizationbeam elementsflat shell elements

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Finite element methods applied to problems in solid mechanics (74S05) Robot dynamics and control of rigid bodies (70E60) Compliance or weight optimization in solid mechanics (74P05)

Related Items (4)

Multi-objective optimization of parallel manipulators using a game algorithm ⋮ CAD-based approach for identification of elasto-static parameters of robotic manipulators ⋮ Enhanced stiffness modeling of manipulators with passive joints ⋮ Stiffness analysis of overconstrained parallel manipulators

Cites Work

• The optimal design of a planar parallel platform for prescribed machining tasks
• An improved version of the original leap-frog dynamic method for unconstrained minimization: LFOP1(b)
• A new and dynamic method for unconstrained minimization
• The dynamic-Q optimization method: an alternative to SQP?
• The LFOPC leap-frog algorithm for constrained optimization
• The determination of nonconvex workspaces of generally constrained planar Stewart platforms
• An efficient 4‐node 24 D.O.F. thick shell finite element with 5‐point quadrature
• A four-node plate bending element based on Mindlin/Reissner plate theory and a mixed interpolation
• A robust quadrilateral membrane finite element with drilling degrees of freedom
• A 24 d.o.f. four‐node flat shell finite element for general unsymmetric orthotropic layered composites
• Using CFD and mathematical optimization to investigate air pollution due to stacks
• Using mathematical optimization in the CFD analysis of a continuous quenching process

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