Spatial Stability of Layered Anisotropic Cylindrical Shells Under Compressive Loads

被引:4
作者
Semenyuk, N. P. [1 ]
Trach, V. M. [2 ]
Podvornyi, A. V. [3 ]
机构
[1] Natl Acad Sci Ukraine, SP Timoshenko Inst Mech, 3 Nesterova St, UA-03057 Kiev, Ukraine
[2] Warsaw Univ Life Sci, 166 Nowoursynowska St, PL-02787 Warsaw, Poland
[3] Natl Univ Water & Environm Engn, 11 Sobornaya St, UA-33028 Rovno, Ukraine
关键词
stress-strain state; stability; anisotropic shells; Bubnov-Galerkin method; discrete Fourier transform method; discrete-orthogonalization method; spatial formulation;
D O I
10.1007/s10778-019-00951-5
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
An approach to solving spatial problems of the stress-strain state and stability of layered anisotropic cylindrical shells is developed. The anisotropy is characterized by one plane of elastic symmetry. The numerical implementation of the approach is based on the combination of the Bubnov-Galerkin, discrete Fourier transform, and discrete-orthgonalization methods. The results obtained are in good agreement with the solutions of simpler problems. A new stability problem for a sandwich shell is solved.
引用
收藏
页码:211 / 221
页数:11
相关论文
共 25 条
  • [1] Ambartsumyan SA., 1974, GEN THEORY ANISOTROP
  • [2] Bazhenov V. A., 2010, Nonlinear deformation and stability of elastic shells of heterogeneous structure
  • [3] Layered Inhomogeneous Hollow Cylinders with Concave Corrugations Under Internal Pressure[J]. Grigorenko Y.M.;Rozhok L.S. International Applied Mechanics, 2018(5)
  • [4] SOLUTION OF BOUNDARY-VALUE PROBLEMS OF THE THEORY OF PLATES WITH VARIABLE PARAMETERS USING PERIODICAL B-SPLINES[J]. Grigorenko, Ya. M.;Kryukov, N. N. INTERNATIONAL APPLIED MECHANICS, 2018(04)
  • [5] Grigorenko Ya. M., 2006, Numerical Analytic Solution of Shell Problems Based on Various Models
  • [6] Grigorenko Ya. M., 1991, PROBLEMS ELASTICITY
  • [7] GRIGORENKO YM, 1988, NUMERICAL SOLUTIONS
  • [8] GUZ AN, 1985, SPATIAL PROBLEMS ELA, V4
  • [9] Guz AN, 1986, FUNDAMENTALS SPATIAL
  • [10] BIFURCATION OF EQUILIBRIUM IN THICK ORTHOTROPIC CYLINDRICAL-SHELLS UNDER AXIAL-COMPRESSION[J]. KARDOMATEAS, GA. JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1995(01)