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Support position optimization with minimum stiffness for plate structures including support mass / D. Wang; Michael Friswell

Journal of Sound and Vibration, Volume: 499, Start page: 116003

Swansea University Author: Michael, Friswell

  • Accepted Manuscript under embargo until: 3rd February 2022

Abstract

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...

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Published in: Journal of Sound and Vibration
ISSN: 0022-460X
Published: Elsevier BV 2021
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa56191
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Abstract: 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.
Keywords: Support additional mass, Optimal support position, Minimum support stiffness, Natural frequency increase, Plate structural system
College: College of Engineering
Start Page: 116003