الفهرس 
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Abstract
This study deals with a new application on response analysis for simple inelastic engineering structures under train-induced vibrations. The dynamic load is represented as a time-variant pulse-train function of unequal amplitudes. The structural response is quantified in terms of ductility factor, permanent deformation, number of cyclic loops (stress reversals), and input, hysteretic and damping energies. Measures of the structural performance based on energy concepts and damage indices are also considered. Specifically, the structural performance is quantified in terms of Park and Ang damage index. Damage indices imply that the structure is damaged by a combination of repeated stress reversals and high-stress excursions. In fact, the use of damage indices provides a measure on the structural damage level making a decision on necessary possible repair. A new scalar index based on Park and Ang and Cosenza and Fajfar damage indices is also proposed in this thesis. The formulation is demonstrated by studying the structural response of single-degree-of-freedom and two degrees of freedom inelastic structures to different types of pulse-train load, a passengers train composed of locomotive and 10 coaches and a freight train composed of locomotive and 20 wagons are utilized to represent the train load. A computational code is developed in the Matlab platform to solve the differential equations of motion to illustrate the numerical analysis. It was seen that the characteristics of the train load and the material properties influence the structural response and damage level for inelastic structures.