Using spline-approximation to solve problems of axisymmetric free vibration of thick-walled orthotropic cylinders

作者：Grigorenko A Ya^*; Efimova T L

来源：International Applied Mechanics, 2008, 44(10): 1137-1147.

DOI：10.1007/s10778-009-0126-6

• natural vibrations
• three-dimensional theory of elasticity
• hollow cylinder
• finite length
• spline-collocation

The three-dimensional theory of elasticity is used to study the free vibrations of an anisotropic hollow cylinder with different boundary conditions at the ends. The relevant problem is solved by a numerical-and-analytic method. Spline approximation and collocation is used to reduce the partial differential equations of elasticity to a boundary-value problem for a system of ordinary differential equations of high order for the radial coordinate, which is solved using the stable discrete-orthogonalization and incremental-search methods. The calculated results for an orthotropic inhomogeneous cylinder with boundary conditions of several types are presented.

• 出版日期2008-10