Computational routine for obtaining the Rayleigh quotient for a truss system using its self-weight and corresponding static deformation

When subjected to dynamic loads, structural systems can lose stability or undergo material failure. Furthermore, if the frequency of loads in system approaches one its natural vibration frequencies, resonance occur, which potentially increase In general, first structure is most important for excitation with low frequencies. Therefore, a simplified analysis obtain this and mode be highly useful. This study aims assess application deformation spatial truss under static loading (self-weight) as an approximation mode. way, Rayleigh Quotient determined, consequently, fundamental obtained. A computational routine implemented FORTRAN© was used calculating Quotient, routine's validation performed by comparing result that obtained SAP2000© program. good agreement between results observed, thus validating mentioned routine.