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THE DYNAMIC BUCKLING OF AN ORTHOTROPIC CYLINDRICAL THIN SHELL UNDER TORSION VARYING AS A POWER FUNCTION OF TIME
引用本文:Sofiyev Abdullah Ay Zeki (Department of Civil Engineering,Suleyman Demirel University,Isparta,Turkey)Sofuyev Ali (Kazakh Filial Technical Sciences Department,Gence Pedagogic University,Kazakh,Azerbaijan). THE DYNAMIC BUCKLING OF AN ORTHOTROPIC CYLINDRICAL THIN SHELL UNDER TORSION VARYING AS A POWER FUNCTION OF TIME[J]. Acta Mechanica Solida Sinica, 2003, 16(1): 81-87. DOI: 10.1007/PL00013123
作者姓名:Sofiyev Abdullah Ay Zeki (Department of Civil Engineering  Suleyman Demirel University  Isparta  Turkey)Sofuyev Ali (Kazakh Filial Technical Sciences Department  Gence Pedagogic University  Kazakh  Azerbaijan)
作者单位:Sofiyev Abdullah Ay Zeki (Department of Civil Engineering,Suleyman Demirel University,Isparta,Turkey)Sofuyev Ali (Kazakh Filial Technical Sciences Department,Gence Pedagogic University,Kazakh,Azerbaijan)
摘    要:The subject of this investigation is to study the buckling of orthotropic cylindricalthin shells under torsion,which is a power function of time.The dynamic stability and compati-bility equations are obtained first.These equations are subsequently reduced to a time dependentdifferential equation with variable coefficient by using Galerkin's method.Finally,the critical dy-namic and static loading,the corresponding wave numbers,the dynamic factors,critical time andcritical impulse are found analytically by applying the Ritz type variational method.Using thoseresults,the effects of the variations of the power of time in the torsion load expression,of theloading parameter,the ratio of the Young's moduli and the ratio of the radius to thickness onthe critical parameters are studied numerically.It is observed that these factors have appreciableeffects on the critical parameters of the problem in the heading.


THE DYNAMIC BUCKLING OF AN ORTHOTROPIC CYLINDRICAL THIN SHELL UNDER TORSION VARYING AS A POWER FUNCTION OF TIME
Sofiyev Abdullah Ay Zeki. THE DYNAMIC BUCKLING OF AN ORTHOTROPIC CYLINDRICAL THIN SHELL UNDER TORSION VARYING AS A POWER FUNCTION OF TIME[J]. Acta Mechanica Solida Sinica, 2003, 16(1): 81-87. DOI: 10.1007/PL00013123
Authors:Sofiyev Abdullah Ay Zeki
Affiliation:(1) Department of Civil Engineering, Suleyman Demirel University, Isparta, Turkey, TK;(2) Kazakh Filial Technical Sciences Department, Gence Pedagogic University, Kazakh, Azerbaijan, AZ
Abstract:The subject of this investigation is to study the buckling of orthotropic cylindrical thin shells under torsion,which is a power function of time.The dynamic stability and compati- bility equations are obtained first.These equations are subsequently reduced to a time dependent differential equation with variable coefficient by using Galerkin's method.Finally,the critical dy- namic and static loading,the corresponding wave numbers,the dynamic factors,critical time and critical impulse are found analytically by applying the Ritz type variational method.Using those results,the effects of the variations of the power of time in the torsion load expression,of the loading parameter,the ratio of the Young's moduli and the ratio of the radius to thickness on the critical parameters are studied numerically.It is observed that these factors have appreciable effects on the critical parameters of the problem in the heading.
Keywords:dynamic buckling  cylindrical shells  torsion  dynamic critical load  dynamic factor  critical impulse
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