Support Position Optimization with Minimum Stiffness for Plate Structures Including Support Mass
D Wang (Northwestern Polytechnical University, China) & MI Friswell (Swansea University)
Journal of Sound and Vibration, Vol. 499, 12 May 2021, paper 116003
The optimum position and minimum restraint stiffness of a flexible point support to raise a natural frequency of a thin bending plate is investigated, with the inclusion of the corresponding additional support mass. First the derivatives of the natural frequencies of the plate structure are derived with respect to the support movement using a finite element model. Second, the minimum support stiffness is analyzed to raise a plate's natural frequency to a target value by solving a characteristic eigenvalue problem. Then the optimal support design is studied to find the optimal attachment point and the associated minimum stiffness. Several typical examples of plate systems are analyzed with addition of the point supports with non-negligible mass. It appears that including the support mass in the plate vibration analysis can significantly increase the minimum support stiffness required to raise a given natural frequency to its target, whereas the optimal support position remains consistent with the massless support design case.
This material has been published in the Journal of Sound and Vibration, Vol. 499, 12 May 2021, paper 116003. Unfortunately the copyright agreement with Elsevier does not allow for the PDF file of the paper to be available on this website. However the paper is available from ScienceDirect - see the link below.
Link to paper using doi: 10.1016/j.jsv.2021.116003
Journal of Sound and Vibration on ScienceDirect