Open AccessIn modern manufacturing, cutting forces measurement is a key element in understanding the operational conditions during machining. Nevertheless, in some cases, the use of dynamometers can be problematic, for instance in case of thin-walled workpieces in presence of instabilities: due to the presence of resonances in the frequency response of the dynamometer itself can induce significant perturbations in the measured signals. This was the case for [1]: the addition of the dynamic system of the dynamometer can modify the conditions of the chatter onset.
In the present paper, we address the problem of quasi-static evaluation of the cutting force during turning cylindrical shells. The cutting force components are estimated indirectly, from the displacement measurements, with the help of the flexibility matrix, based on the elastic behavior of the structure.
First, we find the relation between the applied concentrated force components and radial displacements of the points, which radial displacements are actually measured.
Then, the question of the optimality of the sensors position is sought, in terms of the conditioning of the flexibility matrix.