Processing may take a few seconds...

Chapter


Title

Free Flexural Axisymmetric Vibrations of Generalized Circular Sandwich Plate

Authors

[ 1 ] Instytut Matematyki, Wydział Automatyki, Robotyki i Elektrotechniki, Politechnika Poznańska | [ P ] employee

Scientific discipline (Law 2.0)

[2.8] Mechanical engineering

Year of publication

2023

Chapter type

chapter in monograph / paper

Publication language

english

Keywords
EN
  • mathematical modelling
  • generalized sandwich plate
  • free flexural vibrations
Abstract

EN The work is devoted to the mathematical modeling of a sandwich circular plate. Free flexural axisymmetric vibrations of generalized three-layer plate is studied. The mechanical properties of the plate’s core vary through its thickness. The mechanical properties of faces are constant. The individual nonlinear theory of deformation of the straight normal line to the middle plane of the plate is elaborated taking into account the shear effect. Two cases of the supported edge of the plate are considered: simply supported, and clamped. Based on the Hamilton's principle two differential equations of motion are obtained. This system of equations is approximately solved and the fundamental natural frequencies are obtained for two circular sandwich plates.

Pages (from - to)

219 - 229

DOI

10.1007/978-3-031-15758-5_21

URL

https://link.springer.com/chapter/10.1007/978-3-031-15758-5_21

Book

Recent Trends in Wave Mechanics and Vibrations. Proceedings of WMVC 2022

Presented on

10th International Conference on Wave Mechanics and Vibrations, WMVC 2022, 4-6.07.2022, Lisbon, Portugal

Ministry points / chapter

20.0

This website uses cookies to remember the authenticated session of the user. For more information, read about Cookies and Privacy Policy.