An analytical approach for the frequency response of a multilayer disc

Authors

  • B. Cournoyer Dept. de Genie Mecanique Sherbrooke Univ., Que., Canada
  • N. Atalla Dept. de Genie Mecanique Sherbrooke Univ., Que., Canada
  • J. Nicolas Dept. de Genie Mecanique Sherbrooke Univ., Que., Canada

Keywords:

variational techniques, vibrations, free vibration, vibroacoustics, analytical approach, frequency response, multilayer disc, multilayer structures, constrained viscoelastic layer, natural frequencies, mean quadratic velocity, harmonic point force, forced frequency responses, Rayleigh-Ritz type approximation

Abstract

The vibro-acoustic design of multilayer structures is becoming more and more important but also quite difficult to model due to the complexity of such structures. The first step to get over it is to find a simple yet accurate formulation to treat the case of a constrained viscoelastic layer. Multilayer discs are commonly used in many mechanical systems: grinding wheels, gears, circular saw blades, . . . This paper presents a model of such an arrangement and the determination of both its natural frequencies and mean quadratic velocity. For this purpose, a multilayer disc excited by a harmonic point force is used. The determination of the free and forced frequency responses is achieved through a variational approach combined with a Rayleigh-Ritz type approximation

Additional Files

Published

1994-09-01

How to Cite

1.
Cournoyer B, Atalla N, Nicolas J. An analytical approach for the frequency response of a multilayer disc. Canadian Acoustics [Internet]. 1994 Sep. 1 [cited 2025 Feb. 13];22(3):109-10. Available from: https://jcaa.caa-aca.ca/index.php/jcaa/article/view/873

Issue

Vol. 22 No. 3 (1994)

Section

Proceedings of the Acoustics Week in Canada

License

Author Licensing Addendum

This Licensing Addendum ("Addendum") is entered into between the undersigned Author(s) and Canadian Acoustics journal published by the Canadian Acoustical Association (hereinafter referred to as the "Publisher"). The Author(s) and the Publisher agree as follows:

  1. Retained Rights: The Author(s) retain(s) the following rights:

    • The right to reproduce, distribute, and publicly display the Work on the Author's personal website or the website of the Author's institution.
    • The right to use the Work in the Author's teaching activities and presentations.
    • The right to include the Work in a compilation for the Author's personal use, not for sale.

  2. Grant of License: The Author(s) grant(s) to the Publisher a worldwide exclusive license to publish, reproduce, distribute, and display the Work in Canadian Acoustics and any other formats and media deemed appropriate by the Publisher.

  3. Attribution: The Publisher agrees to include proper attribution to the Author(s) in all publications and reproductions of the Work.

  4. No Conflict: This Addendum is intended to be in harmony with, and not in conflict with, the terms and conditions of the original agreement entered into between the Author(s) and the Publisher.

  5. Copyright Clause: Copyright on articles is held by the Author(s). The corresponding Author has the right to grant on behalf of all Authors and does grant on behalf of all Authors, a worldwide exclusive license to the Publisher and its licensees in perpetuity, in all forms, formats, and media (whether known now or created in the future), including but not limited to the rights to publish, reproduce, distribute, display, store, translate, create adaptations, reprints, include within collections, and create summaries, extracts, and/or abstracts of the Contribution.

Most read articles by the same author(s)

1 2 3 4 > >>