free vibration 
In this paper, a general analytical methodspace variable transform method is presented for solving free vibration problems of thick cylindrical shell with arbitrary boundary conditions.


Free vibration characteristics of cantilever thick cylindrical shell are evaluated by the presented method, and the numerical results are compared with the corresponding results of thin shell theory and experimental values.


Theoretical analysis and calculating results show that the method presented in this paper has good convergence and accuracy and can be extended to analyze free vibration of beams.


In this paper, the modified iteration method is successfully extended to investigate the nonlinear free vibration of corrugated circular plates with full corrugations.


But to some problems such as the bending, free vibration and buckling of nonhomogeneous long cylinders, it is difficult to obtain their solutions by the initial parameter algorithm on computer.


Free vibration of a class of Hill's equation having a small parameter


A pure analytic solution of the axisymmetric large amplitude free vibration of thin annular plates is presented in this paper: By using the modified iteration method, we derive an analytic relation for the amplitudes vs.


Finally, the cases of free vibration,impulsive response and moving load are also discussed.


Both free vibration and forced vibration of such beams are studied.


Hamiltonian system and simpletic geometry in mechanics of materials (III)flexure and free vibration of plates


The methodology presented in Part 1 is employed to deal with flexure and free vibration of anisotropic plates.


In this paper, fundamental equations of the axisymmetric large amplitude free vibration for circular sandwich plates are derived by means of Hamilton principle.


Free vibration and stability of moderatethick cantilever plates


Nonlinear free vibration of orthotropic shallow shells of revolution under the static loads


Finally, the paper analyses the effect of the transverse shear on the vibration of the plate and gives the ratio of nonlinear period to linear period for nonlinear free vibration of the plate.


The characteristic equations of simply supported thick plate are derived and the comparison of the free vibration frequencies based on the classic theory, middle thickness plate theory and three dimensional elasticity theory are given.


Thermoelastic free vibration of clampe circular plate


An analysis was given for the free vibration of clamped circular plate when temperature and stress fields were coupled.


In particular, for the free vibration (stability) problem, it is found that there exist two independent classes: One corresponds to the pure inplane vibration (stability) and the other to the general bending vibration (stability).


In particular, for the free vibration (stability) problem, it is found that there exist two independent classes: One corresponds to the pure inplane vibration (stability) and the other to the general bending vibration (stability).

