Exact analytical solutions for the free vibrations of Thin-Walled shallow shells are presented
in this work. The shells considered have rectangular planform and two principal constant …

Geometrically nonlinear vibrations of shallow circular cylindrical panels with complex shape
of the boundary are considered. The R-functions theory and variational methods are used to …

The vibration problems of composite laminated shallow shells resting on an arbitrary
planform are studied. In order to develop the effective numerical–analytical method, the first …

The bending behavior of the laminated shallow shells under static loading has been studied
using the R‐functions theory together with the spline‐approximation. Formulation is based …

Nonlinear vibrations of cylindrical panels with complex base are analyzed. The Donnell-
Mushtari-Vlasov equations with respect to displacements are used to study vibrations of …

Geometrically non-linear forced vibrations of a shallow circular cylindrical panel with a
complex shape, clamped at the edges and subjected to a radial harmonic excitation in the …

The Green quasifunction method is employed to solve the free vibration problem of clamped
thin plates. A Green quasifunction is established by using the fundamental solution and …

Geometrically nonlinear forced vibrations of a cantilever shallow shell are analyzed. A finite
degree of freedom nonlinear dynamical system is derived using the assumed mode method …

首次将R-函数理论及准Green 函数方法应用于求解固支正交各向异性薄板的自由振动问题.
首先引入参数变换, 将正交各向异性薄板的自由振动微分方程转化为双调和算子的边值问题 …

Within the framework of a refined model that takes into account transverse shear strains and
inertial components, we construct a solution of the problem of steady-state vibration of an …