Document Type: Research Paper
Ritz method is one of the techniques for reduction of the degrees of freedom. Efficiency of Ritz method depends on used vectors. The Ritz method uses load depended vectors in spite of modal method and for this reason it is expected to give better results than modal method. This is the advantage of Ritz method. It is worth mention that the mode shapes are independent of loading. The vectors that are calculated based on spatial distribution of loads are load dependent vectors. Humar et.al. have introduced a new type of vectors that are dependent not only on spatial distribution of loads but also on frequency of those. This type of vectors is named frequency dependent vectors. In this paper a new style of vectors is proposed that can replace both previous types. It is shown that these vectors are linearly independent. Various examples utilizing new Ritz vectors in two and three dimensions are analyzed. It is observed that this method is effective and efficient.