Structural Health Monitoring -- Use of Mathematics and Computers

Fast computers and sophisticated numerical methods along with sound mathematical models have enabled structural health monitoring to emerge as an efficient means of evaluating the health of a structure and detect any damage to enable appropriate retrofitting. This paper uses vibration based methods to develop and apply techniques to detect the damage in beam and plate structures that form important components in buildings and bridges. The success of this technique will enhance the safety and efficiency of structures and prevent their unexpected and sudden collapse.