Force identification based on the reconstruction of distributed response with an optimized sensor placement

The errors of the force identification vary with different spatial locations of the response measurements on machinery. This investigation proposes a method to identify the structural dynamic force with the use of the distributed response. An optimized sensor placement is obtained by using a set of local orthogonal polynomials to approximate the response distribution of the chosen region and choosing the Gaussian quadrature points as the sensor locations. Then the forward model based on the reconstruction of distributed response is established and the dynamic force can be obtained by an appropriate regularization method. Numerical simulations of models with planar and curved surfaces are presented to validate the method. It is found that the proposed method can effectively reduce the influence of noise and improve the precision of the force identification. The method is also validated by an experiment and an accurate recognition of the forces is observed. This paper provides a new perspective on the force identification procedure based on the distributed response.