An efficient reanalysis method for grillage structures is presented. The method is suitable for structural modifications in general, and topological changes in particular. Combining the computed terms of the binomial series expansion, used as basis vectors, and coefficients of a reduced basis expression, an effective solution procedure is achieved. The method uses the stiffness analysis formulation and it can be integrated into general finite element programs. The calculations are based on results of a single exact analysis, and each reanalysis involves the solution of a small system of equations. Thus, the computational effort is significantly reduced. High quality approximations have been achieved for large changes in the structure, including elimination of elements. Applications for design modifications and damage analysis are illustrated.

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