A PRACTICAL METHOD FOR CALCULATING NATURAL BENDING FREQUENCIES OF UNIFORM ELASTIC BEAMS CONSIDERING ROTATORY INERTIA AND SHEAR DEFORMATION-Reference-Cited by-同舟云学术

A PRACTICAL METHOD FOR CALCULATING NATURAL BENDING FREQUENCIES OF UNIFORM ELASTIC BEAMS CONSIDERING ROTATORY INERTIA AND SHEAR DEFORMATION

Published:2022-01-30 Issue:791 Volume:87 Page:72-82
ISSN:1340-4202
Container-title:Journal of Structural and Construction Engineering (Transactions of AIJ)
language:en
Short-container-title:Nihon Kenchiku Gakkai Kozokei Ronbunshu

Author:

YAMAGUCHI Yudai¹,SATO Daiki²,TAMURA Tetsuro³

Affiliation:

1. School of Environment and Society, Tokyo Institute of Technology

2. FIRST, Tokyo Institute of Technology

3. Tokyo Institute of Technology

Publisher

Architectural Institute of Japan

Subject

Building and Construction,Architecture

Link

https://www.jstage.jst.go.jp/article/aijs/87/791/87_72/_pdf

Reference23 articles.

1. 1) Taniguchi, O. and Tamura, A.: Shin-pan Kogyo shindo gaku, CORONA PUBLISHING CO., LTD., pp.372-390, 1977 (In Japanese)　谷口修, 田村章義: 新版工業振動学, コロナ社, pp.387-390, 1977

2. 2) S.P. Timoshenko: On the correction for shear of the differential equation for transverse vibrations of prismatic bars, Philosophical Magazine and Journal of Science, Vol. 41, pp. 744-746, 1921

3. 3) S.P. Timoshenko: On the transverse vibrations of bars of uniform cross-section, Philosophical Magazine and Journal of Science, Vol. 43, pp. 125-131, 1922

4. 4) R.W. Traill-Nash and A.R. Collar: The effects of shear flexibility and rotatory inertia on the bending vibrations of beams, The Quarterly Journal of Mechanics and Applied Mathematics, Vol. 6, pp. 186-222, 1953

5. 5) T.C. Huang: The effect of rotatory inertia and of shear deformation on the frequency and normal mode equations of uniform beams with simple end conditions, Journal of Applied Mechanics, Vol. 28, No. 4, pp. 579-584, 1961