RATIONAL TIMOSHENKO BEAM ELEMENT AND ITS APPLICATION
理性Timoshenko梁单元及其应用

Rational FEM is used in Timoshenko beam problems. A kind of rational Timoshenko beam element is proposed, to avoid shear locking. In deriving the governing equations, some basic analytic solutions of Timoshenko beam problems are used to approximate the inner field of the element. This method is different from Lagrange interpolation used in the conventional FEM. The rational Timoshenko beam element can avoid shear locking without a reduced integration. Numerical results show that the element's precision is very high. It is shown that the rational FEM has a very wide application.