A new approach to solving structural dynamics problems with singularity functions

This thesis consists of five chapters. In the first chapter, the basic concepts, namely, the Euler-Bernoulli beam theory and its assumtions, the Green Lagrange Tensor and Simpson 1/3 rule are introduced. In the second chapter, equations of motions and boundary conditions are obtained by using Hamilton principle. The equation is become nondimensional to obtain independent results from material and geometry. In the third chapter, the equation obtained as dimensionless is solved both analytically and using by finite diffirence method and the value of axial load is calculated. The variation of the solution for different support points is indicated by graphs. In the fourth chapter, dynamic analysis is performed using the multi time scale method which is one of the perturbation solution tecniques. For dynamical analysis, the damping term is added to the mathematical model. Besides, the external forcing term is supplemented to governing equation for primary resonance.In the final chapter, the results and recommendations are given.