Dynamic reanalysis of spring-mass systems using sensitivity derivative

Abstract

Studies on Structural Dynamic Modification (SDM) of beams are very important area of research work to both fields of Mechanical and Civil Engineering. Dynamic reanalysis of structures is about to find modified dynamic characteristics i.e. natural frequency with the modification of structure parameters. It plays an important role in smooth operation of structural analysis. Design of such structures is important to resist dynamic forces occurred due to natural hazardous. Modification in dynamic characteristics of a complex structure is highly expensive and time taking process. Hence the modified dynamic characteristics are evaluated using reanalysis methods. Dynamic reanalysis for structures can be done by using Taylor series in which sensitivity derivatives are substituted for finding the modified frequencies. In the present work, the dynamic reanalysis is applied for linear spring-mass systems. The results of direct method have been compared with reanalysis method. These comparisons prove preciseness of reanalysis method which is based on sensitivity derivatives and it can be considered as a powerful frame work for Eigen value analysis for modified spring-mass systems.