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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 subject of this investigation is to study the buckling of orthotropic cylindrical threne shells under torsion, which is a power function of time. Dynamic stability and compatibility equations are obtained first. These equations are subsequently reduced to a time dependentdifferential equation with variable coefficient by using Galerkin’s method. Finaally, 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. Use 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.