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This thesis aimed to apply the SEM for dynamic analysis of cracked beam subjected moving harmonic force in the frequency domain. Namely, the frequency response of a cracked beam subjected to moving harmonic force is obtained explicitly and examined in dependence upon the load and crack parameters. This task is acknowledged herein spectral analysis of cracked beam subjected to moving load. | VIET NAM ACADEMY OF SCIENCE AND TECHNOLOGY GRADUATE UNIVERSITY OF SCIENCE AND TECHNOLOGY o0o PHI THI HANG SPECTRAL METHOD FOR VIBRATION ANALYSIS OF CRACKED BEAM SUBJECTED TO MOVING LOAD Specialized in Engineering Mechanics Code 62 52 01 01 SUMMARY OF PhD THESIS Hanoi 2016 Supervisors 1. Prof.DrSc. Nguyen Tien Khiem 2. Dr. Phạm Xuan Khang Reviewer 1 Reviewer 2 Reviewer 3 Thesis is defended at Graduate university of Science and Technology _18 Hoang Quoc Viet _ Hanoi. on. 2016 Hardcopy of the thesis be found at Vietnam National Library and Library of Graduate university of Science and Technology. 1 1. Necessity of the theme Dynamic analysis of structure subjected to moving load is an important problem in the practice of engineering especially for the bridge and railway engineerings. This problem was investigated very early in the 19th Century. However it is studying at present by the following reasons 1 moving load models need to be improved to describe more accurately the moving vehicle-structure interaction 2 structures subjected to moving loads become more complicated so that a lot of new problems in dynamic analysis of such the structures has been posed 3 more exact methods of dynamic analysis need also to be developed for solving the problems. The most popular method used for dynamic analysis of a structure under moving load is the Bubnov-Galerkin method that is based on the eigenfunctions of the structure and therefore is called also superposition or modal method. This method is difficult to apply for the structures eigenfunctions of which are unavailable. In that case the Finite Element Method FEM the most powerful technique for structure analysis is employed. Finite element model of a structure is conducted basically on the specific shape functions that are static solution of a finite element of the structure. Therefore high frequency dynamic response of a structure could be investigated by the finite element model with very large number of elements. Recently
