engleski

A numerical method for solving the curved rod model

In this work a numerical procedure for the solution of the one-dimensional equilibrium model of linear elastic curved rods is derived. The middle curve of the curved rod is approximated by a piecewise linear curve while applied loads are approximated by a piecewise constant function. The curved rod model for the piecewise linear curve and piecewise constant force is solved analytically producing a numerical procedure. The difference in sup-norm and H^1-norm of the solutions of the boundary value problem of curved rods for the smooth and piecewise linear curve is estimated giving the error estimate of the procedure. Results of the numerical tests agree with the analytical error estimate.

curved rod model; numerical procedure; error estimate

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