The evaluation of the dynamic response analysis of large structures by vector superposition requires in its traditional formulation the solution of a large and expensive eigenvalue problem. A new method of dynamic analysis using load dependent transformation vectors for systems subjected to fixed spatial distribution of dynamic loads was recently introduced by Wilson et al. as an economic alternative to the usual mode superposition method. New computational variants to generate a load dependent transformation basis for arbitrary transient loadings which are a function of space and time are presented. Numerical applications on a simple structural system are used to show the relative efficiency of the proposed solution procedure over classical solution methods using mode-displacement, mode-acceleration or the original (fixed) load dependent reduction method.