| Study on structural dynamic response analysis of numerical algorithms science and engineering has been the subject of concern,people will always want to be able to existing methods constantly improve or there is a new calculation method was put forward in order to make work better.Radial basis function method as a new method of structural dynamics numerical calculation,because of its simple calculation,no points,and high precision,very suitable for analysis and calculation of engineering structures.However,the current research on the radial basis function method is mainly focused on the mathematical theory presentation,and will be applied to engineering structural dynamic response analysis has not been adequately studied.This paper first summarizes the existing numerical methods for the inherent shortcomings of frequency-domain analysis and time domain analysis,the choice of radial basis function is proposed from the most primitive function approximation theory Solutions.Then,it introduced the radial basis function approximation method of interpolation principle.Then the existing conventional collocation method is prone to numerical oscillation,the problem of false solutions proposed in the original interpolation expression,based on the increase in a linear combination of the first derivative of the radial basis functions satisfy the second order boundary conditions and speed,displacement,acceleration,improved interpolation of expression.So that the calculated boundary point is not only to meet the numerical significance,but also to meet the physical meaning of the actual situation on the numerical oscillation occurs,the problem of false solutions provide an effective solution.Then the radial basis function approximation method of computing power to verify solved by internationally recognized test studies Bratu strongly nonlinear equations and fractional differential equations radial basis function approximation method,the results obtained with the results of other numerical methods disclosed by comparing the feasibility and effect of the calculation methods.It laid the theoretical foundation for the study of numerical content later.In this paper,the radial basis function approximation method is applied to high-pile wharf structure under earthquake loads response analysis through entity structure analysis to show the numerical radial basis function approximation method to structural dynamic response analysis and process result.Then on this basis,the wharf structure add gusset as a structural member of damping energy dissipation design,andcontrast inner forces,displacements,velocities,accelerations numerical results add structure before and after,before and after the change to show structural changes in peak after the impact of the structure,radial basis function approximation method to structural design and improved to provide reference basis.Finally,the traditional view of the current numerical algorithm can not directly calculate the jerk of the problem,a radial basis function approximation obtained directly jerk of new ideas,and the power applied to the pier structure response analysis.Jerk data obtained for the damping dissipation structure can be designed with a more intuitive and objective evaluation data for seismic design of structures to provide a more comprehensive consideration. |
