Chein-Shan Liu1
CMES-Computer Modeling in Engineering & Sciences, Vol.30, No.1, pp. 1-16, 2008, DOI:10.3970/cmes.2008.030.001
Abstract In this paper we propose a new numerical integration method of second-order boundary value problems (BVPs) resulting from the elastica of slender rods under different loading conditions and boundary conditions. We construct a compact space shooting method for finding unknown initial conditions. The key point is based on the construction of a one-step Lie group element G(T) and the establishment of a generalized mid-point Lie group element G(r) by using the mean value theorem. Then, by imposing G(T) = G(r) we can search the missing initial condition through a closed-form solution in terms of the weighting factor r ∈ (0,1).… More >
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