Bifurcations near a double eigenvalue of the rectangular plate problem with a domain parametr
Bifurcations of generalized von Kármán equations for circular viscoelastic plates
The paper deals with the analysis of generalized von Kármán equations which describe stability of a thin circular clamped viscoelastic plate of constant thickness under a uniform compressive load which is applied along its edge and depends on a real parameter, and gives results for the linearized problem of stability of viscoelastic plates. An exact definition of a bifurcation point for the generalized von Kármán equations is given. Then relations between the critical points of the linearized problem...
Buckling of anisotropic shells. I
The formulation of differential equations of buckling problem of anisotropic cylindrical shell is presented here. The solution for anisotropic cylindrical shells without shear load in case of two way compression is found out from the differential equations formulated. The corresponding results for isotropic case are deduced as a particular case.
Buckling of anisotropic shells. II
The object of this paper is to find the solution of the differential equation of the buckling problem of anisotropic cylindrical shells with shear load in case of torsion of a long tube. The critical values of the shear load and the total torque are also found. The corresponding results for the isotropic case are deduced as a special case.
Buckling of beam-column problem of anisotropic cylindrical shells
The object of this paper is to formulate the differential equations in the beamcolumn problem of the buckling of anisotropic cylindrical shells, placed between the plates of a testing machine subject to an axial load and a radial load of sufficient magnitude to bring the expansion without constraint of the edges produced by to zero deflection. The solution is obtained with necessary boundary conditions and the corresponding results for the isotropic case are deduced.