In this paper an investigation has been made into the effect of residual stresses on the vibration characteristics of thin rectangular clamped plate. General frequency equations with and without the effect of residual stresses due to multi-lines of heating or welding along the length and width of the plate have been obtained. The validity of the equations obtained was checked with available special solutions with a good agreement.

1.
Golf
P.
,
1976
, “
The effect of self equilibrating stresses on the natural frequencies of a free-free rectangular plate
”,
J. of sound and vibration
,
47
, pp
85
94
.
2.
Rao J. S., “Dynamics of plates”, Narosa Publishing House, 1999.
3.
Albert E. Y., Shakir S. and Al-Ammri A.S., 2005, “The effect of self equilibrating stresses on the natural frequencies of thin rectangular plate with edges rotational flexibility”, IMECE2005-79729, ASME International Mechanical Engineering Congress and Exposition, Orlando, Florida USA.
4.
Jubb J. E. M., 1975, “Vibration characteristics of welded plates”, Welding and Metal Fabrication, January.
5.
Kaladas
M. M.
and
Dickinson
S. M.
, “
The flexural vibration of welded rectangular plates
”,
J. of sound and vibration
,
75
(
2)
(
1981
), pp.
163
178
.
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