THE EFFECT OF SELF-EQUILIBRATING STRESSES ON THE NATURAL FREQUENCIES OF ELASTICALLY RESTRAINED RECTANGULAR PLATE
Main Article Content
Abstract
An investigation has been made into the effect of residual stresses on the vibration, characteristics of thin rectangular plates clastically restrained against rotation along three edges and free on the fourth edge .General frequency equation with and without including the effect of residual stresses has been obtained. Exact frequency expressions including the eflect of residual stresses for the cascs: S-S-S-F,S-S-C-F.C-C-S-F.C-S-S-F. C-S-C-F.C-C-C-F were also obtained. The eflect of the position of welding along the width of the plate for all cases was also included. Actual plate models were testea and the results were compared with the theoretical predictions giving good agreement
Article Details
Section
How to Cite
References
J. IM.Jubb. (1975). Vibration chanter tes of welded nlates, Welding and Metal Fabrication Jan
P. Golf (19761. The effect of self egunlibrating stresses ou the natura. Trequencies of a free-free rectangular pinte. J. ufsound and vibration 17.0-85 94
P.A.A.Laure, (1977), A note on the determination of the fundamental frequency of vibration of thin .rectangular plates with edges possessing different rotational flexibility coefficients, J. of sound and vibration 55(3).pp327-333.
P.A.A.Laura and R Grossi, (1978), Transverse vibration of rectangular plate clastically restrained against rotation along three edge and free on the fourth edie. J. of sound and Vibration ,59(3).pp355-368,
A. Wu, S. Syngellakis, B. G. Mellor. (2001), Finite element analysis of residual stresses in a butt weld, Proccediny of the Second Postgradunie Conferenes in Engineering Materials 37-38, CEDC
publications,Oct M. R. Bambach and K. J. Rasmussen, (2001), Residual stresses in un-stiffened plate specimens, Department of Civil Enginccring, Sydney University, Ausralin 3" International Conference on thin walled structure Cracow.Poland June..
A.S. Al-Animri .S.K. AJabbar, and R. Sameer. (2001), Res dual stress estimation for isotropic and orthotropic plates by using hole drilling techique, nt indussrial Engincering Conference, Amman-Jordan IEC
A.S Al-Ammri, (2004), A Companative study between the (VSR) and post-weld heat treatment on the fatigue life churacteristies of steel, Ph.D Thesis nes of Baghdad. Collete of Engineering, Mechanical Ingineering Departmeat
S.P.Timoshenko and J. M.Gere (1961). Theary of clastio stability",MeGraw-ill.NewYork
AM.AI-Jumaily and A.Salam Al-Ammri.(1985), VMibration characteristics of eylindrical shells with compliant boundanies, 85-DET-177. ASMIa Desien nnpineering Division Conference and Exhibi on Meshissal Mibration and Noise:Cinei
mode shane. Van Nostrand Reinhold
RD. Blevins, (1979), FormENRREnl ncy Company