Numerične metode za reševanje enačb na Lijevih grupah: formula 4. reda za integracijo kinematičnih enačb geometrijsko točnih nosilcev = Numerical methods for solving equations on Lie groups: 4th order quadrature for integration of kinematic equations of geometrically exact beams
Češarek, Peter ; Zupan, Dejan, mehanik
V prispevku se ukvarjamo z numeričnim reševanjem začetnega problema za rotacije in predstavimo zvezno aproksimacijo rešitve, ki je 4. reda natančnosti. Dobljeno rešitev uporabimo za reševanje enačb ...geometrijsko tčcnih prostorskih nosilcev, ki so izpeljane iz posplošenega principa virtualnega dela. Predstavimo formulacijo končnega elementa z linearno interpolacijo deformacij. Objektivnost in natančnost formulacije prikažemo z numeričnima primeroma.
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