Allowance for geometrical nonlinearity in dynamic problems of the theory of discretely stiffened cylindrical shells under nonstationary loading

被引:6
作者
Lugovoi, PZ [1 ]
Meish, VF [1 ]
Shtantsel, EA [1 ]
机构
[1] Natl Acad Sci Ukraine, SP Timoshenko Inst Mech, UA-252143 Kiev, Ukraine
关键词
Cylindrical Shell; Casing; Nonlinear Theory; Hoop Stress; Nonlinear Factor;
D O I
10.1007/BF02681977
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
A variant of the two-dimensional equations of the motion of a discretely stiffened cylindrical shell is considered within the framework of the elastic nonlinear Timoshenko-type theory of shells and rods. The initial system of equations of motion is derived based on the Hamilton-Ostrogradskii variation principle. A numerical algorithm for solution of such problems with allowance for discrete nonuniformities is constructed. Some aspects of equation approximation are studied. The effect of geometrically nonlinear factors on the stress-strain state of a structure is analyzed.
引用
收藏
页码:532 / 537
页数:6
相关论文
共 7 条
[1]  
ABROSIMOV NA, 1998, APPL PROBLEMS STRENG, P48
[2]  
BAZHENOV VG, 1981, APPLIED PROBLEMS STR, P41
[3]  
BAZHENOV VG, 1968, PRIKL MEKH, V4, P125
[4]   Mathematical modeling of the dynamic behavior of structurally nonuniform casings of explosion chambers [J].
Guz', AN ;
Lugovoi, PZ ;
Meish, VF .
INTERNATIONAL APPLIED MECHANICS, 1998, 34 (07) :615-622
[5]  
MEISH VF, 1997, PRIKL MEKH, V33, P61
[6]  
Novozhilov V. V., 1948, Fundamentals of Nonlinear Theory of Elasticity
[7]  
Samarskii A.A., 1977, Theory of di~erence schemes