An asymptotic numerical method for continuation of spatial equilibria of special Cosserat rods

We present an efficient numerical scheme based on asymptotic numerical method for continuation of spatial equilibria of special Cosserat rods. Using quaternions to represent rotation, the equations of static equilibria of special Cosserat rods are posed as a system of thirteen first order ordinary d...

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Veröffentlicht in:	Computer methods in applied mechanics and engineering 2018-06, Vol.334, p.167-182
Hauptverfasser:	Singh, Raushan, Abhishek, D., Kumar, Ajeet
Format:	Artikel
Sprache:	eng
Schlagworte:	Asymptotic methods Asymptotic numerical method Asymptotic properties Buckling Continuation Cosserat rods Differential equations Elasticity Equilibrium Finite element method Mathematical analysis Nonlinear systems Nonlinearity Numerical analysis Numerical methods Polynomials Quaternions Rods Solvers Spatial analysis Studies
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