Abstract
The finite element method with a cubic interpolation of the inertia forces is developed for the solution of problems in structural dynamics with a non-linear stiffness. Algorithms are given for the direct iterative solution of the equations of motion and for their solution by piecewise linearization. The basic algorithm is not unconditionally stable but may be modified to be so. High accuracy in the piecewise linearization is achieved by use of a modified stiffness matrix.
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