Analyzing the nonlinear dynamics of the three degree of freedom frame structure based on the NewMark-β method and the effect of stiffness on the displacement of the structure abstract
The analytical method of a simple model of a structure provides the basis for the analysis of steel structure (SS) under the effect of earthquake and dynamic load, which has an important importance in the seismic analysis of reinforced concrete structures. In this article, three degrees of freedom steel frame structure is simulated and analyzed in MATLAB program based on the NewMark-β method, considering the effect of simple harmonic loads and seismic waves. The vibrational response of SS is analyzed by introducing stiffness. The results show that the
NewMark-β method is a new idea for seismic response. Construction of SS frame, seismic analysis of the frame of more practical structures; The reduction coefficient, the range of changes of its elastic modulus through seismic analysis makes the seismic analysis of frame structures more practical, as well as the analysis of the SS model, which provides a basis for the size of the stiffness coefficient. By applying force at the top and bottom of the floors, different structural responses are observed according to the stiffness of the structure. The structure of the SS frame and the effect of the force on it when the force is applied to its floors, according to the height of the floors and the position of applying the force with the change of time, the binding stiffness of the amount of displacement will also change and the stability of the structure will be greatly reduced.The analytical method of a simple model of a structure provides the basis for the analysis of steel structure (SS) under the effect of earthquake and dynamic load, which has an important importance in the seismic analysis of reinforced concrete structures. In this article, three degrees of freedom steel frame structure is simulated and analyzed in MATLAB program based on the NewMark-β method, considering the effect of simple harmonic loads and seismic waves. The vibrational response of SS is analyzed by introducing stiffness. The results show that the
NewMark-β method is a new idea for seismic response. Construction of SS frame, seismic analysis of the frame of more practical structures; The reduction coefficient, the range of changes of its elastic modulus through seismic analysis makes the seismic analysis of frame structures more practical, as well as the analysis of the SS model, which provides a basis for the size of the stiffness coefficient. By applying force at the top and bottom of the floors, different structural responses are observed according to the stiffness of the structure. The structure of the SS frame and the effect of the force on it when the force is applied to its floors, according to the height of the floors and the position of applying the force with the change of time, the binding stiffness of the amount of displacement will also change and the stability of the structure will be greatly reduced.
