Identification of distributed dynamic excitation based on Taylor polynomial iteration and cubic Catmull-Rom spline interpolation

This paper devotes to identifying the distributed dynamic excitation in time domain via a comprehensive algorithm combining Taylor polynomial iteration and cubic Catmull-Rom spline interpolation. Under the premise of obtaining structural characteristic and node response, Taylor polynomial iteration algorithm is introduced to reconstruct the distributed force amplitudes in node positions of a simple supported beam. Then the load amplitudes at nodes are used as control points, thereby cubic Catmull-Rom spline is adopted to interpolate the complete spatial course of distributed dynamic load along the whole beam. Numerical examples illustrate that the integration method is able to acquire relatively accurate identification result of distributed force. Furthermore, noise immunity of this method is investigated and it displays a strong anti-noise performance.