The Effect of Welding Self-Equilibrating Stresses on the Natural Frequencies of Thin Rectangular Plate With Edges Rotational Flexibility-Reference-Cited by-同舟云学术

The Effect of Welding Self-Equilibrating Stresses on the Natural Frequencies of Thin Rectangular Plate With Edges Rotational Flexibility

Published:2005-01-01 Issue: Volume: Page:
ISSN:
Container-title:Applied Mechanics
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Author:

Yousif Albert E.¹,Al-Samarrai Shakir²,Al-Ammri A. Salam²

Affiliation:

1. Al-Nahrain University

2. University of Baghdad

Abstract

An investigation has been made into the effect of residual stresses on the vibration characteristics of a thin rectangular plate elastically restrained against rotation along all edges using an energy method. General frequency equations with and without the effect of residual stresses have been obtained. Exact frequency equations with and without the effect of residual stresses for the cases: C-C-C-C, S-S-S-S, S-S-C-S, C-S-C-S, S-S-C-C, C-C-C-S have also been obtained. Exact equations were derived including the effect of the position of welding along the width of the plate for all cases considered. The validity of the equations obtained was checked with available special solutions with a good agreement.

Publisher

ASMEDC

Link

http://asmedigitalcollection.asme.org/IMECE/proceedings-pdf/doi/10.1115/IMECE2005-79729/2631561/575_1.pdf

Reference5 articles.

1. Golf P. , 1976, “The effect of self-equilibrating stresses on the natural frequencies of a free-free rectangular plate,” Journal of Sound and Vibration, 47, pp. 85–94.

2. A. Salam Al-Ammri, 2004, “Comparative study between the VSR and Postweld heat treatment on the fatigue life characteristics of Steel,” Ph.D. Thesis, University of Baghdad, College of Engineering, Mechanical Engineering Department.

3. Laura P. A. A. , 1977, “A note on the determination of the fundamental frequency of vibration of thin, rectangular plates with edges possessing different rotational flexibility coefficients,” Journal of Sound and Vibration, 55(3), pp. 327–333.

4. A.M.Al-Jumaily and A.Salam Al-Ammri, 1985, “Vibration characteristics of cylindrical shells with compliant boundaries,” 85-DET-177, ASME Design Engineering Division Conference and Exhibit on Mechanical Vibration and Noise, Cincinnati, Ohio.

5. R.D. Blevins, 1979, Formulas for natural frequency and mode shape, Van Nostrand Reinhold Company.