给出了弹性变形体处于非惯性参考系中的运动描述，基于Hamilton原理建立了中厚矩形板在空间运动中的动力学一般方程，应用多尺度法及谐波平衡法具体地分析了简支矩形板在空间运动中的非线性振动问题。

The prolem of bearm-plates with as delamiation located at an arbitrary site undergjoing nonlinear free vibration without damp is investigated, For this problem. Noalinear govning equations a well as the contiunity. Equilibrium and compaibility conditions are esablished. The Galerkin method and harmorie balance method are employed to find solutions. Filnslly, in some examples. amplitude-frequeney curves of the deiaminated structure are presented in order to reveal some special dynamic features.

基于Timoshenko-Mindlin假设及Hamiton原理，建立了一般纤维叠层圆柱厚壳在参数激励下的大线性振动方程；应用多摸态近似和增量谐波平衡法求解丁叠层圆柱厚壳的非线性动力稳定性问题。横向剪切变形、端部支承条件等因素的影响被讨论。

Non-linaear vibrations of generally larminateed circualr cylindrical shells are examined using the Timoshenko-Mindlin kinematic hypotheis and an extensin of te Donnell-type shell theory. The effects of transverse shear deformatoion. Rotatory inertia and geometricaly initial imperfection are included in te analysis. A soultion for non-linear free vibratins of these cylindrical shell is fromulated using a mulotimode apprjoach. The boudary condition for the varying rotational end stiffness in the cirrumferentail direcito is staisfied by replacement of the and bending moments by an equivalent lateral pressure ncar the shell ands. The Galerkin procedure furnishes an infinite postbukling behavior of the shell is trated as a specialcase. Numerical results in non-linear vibration. and postbuckling of cylindraical lamnates are presented grasphically for different parameters and comparedd with available data.

Based on Timosheko-Mindlin kinematic hypotheses and Hamilton's principle a system of equations of motion is derived for geometrically nonlinear behavior of generally lamineted cylindrical thick panels of geometric initial imperfections. The variation of rotational stiffness is assumed to be identical along opposite edges. A solution for nonlinear vibratin of these panels is formulated by use of a muliti-mode approach. The boundary condilion for the varying rotational siiffness is satisfied by replacemnent of the edge bending moments by an equivalent lateral pressure near the paneldeges as in a previous work. The Galerkin procedure furnishes an infunite set of equations for time-dependent coefficients which is solved by the method of harmonic balance. Int the post-buckling case the set of time equations reduces to algebraic equations. Numericall results in nonlinear vibratio and post-buckling are presesnted gruphically for different parameters and compared with avalible data.