Higher mode elliptical integral solution for the large amplitude free vibration of a rectangular plate backed by a cavity

Y. Y. Lee

doi:10.1016/j.rinp.2020.103239

Higher mode elliptical integral solution for the large amplitude free vibration of a rectangular plate backed by a cavity

Y. Y. Lee^*

^*Corresponding author for this work

Department of Architecture and Civil Engineering

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

46 Downloads (CityUHK Scholars)

Abstract

In this article, the elliptic integral solution form is adopted to obtain the higher mode natural frequencies of the large amplitude rectangular plate backed by a cavity. The main advantage of the proposed method is the concise acoustic structural modal formulation which do not require heavy computation effort. A set of numerical results are presented for studying the higher mode natural frequencies.

Original language	English
Article number	103239
Journal	Results in Physics
Volume	18
Online published	14 Jul 2020
DOIs	https://doi.org/10.1016/j.rinp.2020.103239
Publication status	Published - Sept 2020

Research Keywords

Elliptical integral
Large amplitude vibration
Structural-acoustic interaction

Publisher's Copyright Statement

This full text is made available under CC-BY-NC-ND 4.0. https://creativecommons.org/licenses/by-nc-nd/4.0/

Access Output

10.1016/j.rinp.2020.103239

55377029.pdfFinal Published version, 0.99 MBLicence: CC BY-NC-ND

Other Access Options

Check CityUHK Library

Permanent Link

Right click to copy link

Cite this

@article{42210aea0fdf4d78a57c734e222182bf,

title = "Higher mode elliptical integral solution for the large amplitude free vibration of a rectangular plate backed by a cavity",

abstract = "In this article, the elliptic integral solution form is adopted to obtain the higher mode natural frequencies of the large amplitude rectangular plate backed by a cavity. The main advantage of the proposed method is the concise acoustic structural modal formulation which do not require heavy computation effort. A set of numerical results are presented for studying the higher mode natural frequencies.",

keywords = "Elliptical integral, Large amplitude vibration, Structural-acoustic interaction, Elliptical integral, Large amplitude vibration, Structural-acoustic interaction, Elliptical integral, Large amplitude vibration, Structural-acoustic interaction",

author = "Lee, \{Y. Y.\}",

year = "2020",

month = sep,

doi = "10.1016/j.rinp.2020.103239",

language = "English",

volume = "18",

journal = "Results in Physics",

issn = "2211-3797",

publisher = "Elsevier B.V.",

}

TY - JOUR

T1 - Higher mode elliptical integral solution for the large amplitude free vibration of a rectangular plate backed by a cavity

AU - Lee, Y. Y.

PY - 2020/9

Y1 - 2020/9

N2 - In this article, the elliptic integral solution form is adopted to obtain the higher mode natural frequencies of the large amplitude rectangular plate backed by a cavity. The main advantage of the proposed method is the concise acoustic structural modal formulation which do not require heavy computation effort. A set of numerical results are presented for studying the higher mode natural frequencies.

AB - In this article, the elliptic integral solution form is adopted to obtain the higher mode natural frequencies of the large amplitude rectangular plate backed by a cavity. The main advantage of the proposed method is the concise acoustic structural modal formulation which do not require heavy computation effort. A set of numerical results are presented for studying the higher mode natural frequencies.

KW - Elliptical integral

KW - Large amplitude vibration

KW - Structural-acoustic interaction

KW - Elliptical integral

KW - Large amplitude vibration

KW - Structural-acoustic interaction

KW - Elliptical integral

KW - Large amplitude vibration

KW - Structural-acoustic interaction

UR - https://www.scopus.com/pages/publications/85088111483

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-85088111483&origin=recordpage

U2 - 10.1016/j.rinp.2020.103239

DO - 10.1016/j.rinp.2020.103239

M3 - RGC 21 - Publication in refereed journal

SN - 2211-3797

VL - 18

JO - Results in Physics

JF - Results in Physics

M1 - 103239

ER -

Higher mode elliptical integral solution for the large amplitude free vibration of a rectangular plate backed by a cavity

Abstract

Research Keywords

Publisher's Copyright Statement

Access Output

Other Access Options

Permanent Link

Other Files and Links

Fingerprint

Cite this