Title :
Numerical integration in MDSB problems with strongly expressed and quickly varying edge effects
Author :
Nemirovsky, Ju V. ; Yankovsky, A.P.
Author_Institution :
Inst. of Theor. & Appl. Mech., Acad. of Sci., Novosibirsk, Russia
Abstract :
The authors study Runge-Kutta methods in the two-dimensional case for approached integration initial edge problems, and the corresponding differential equations with private derivation. The results are demonstrated for the example of construction of schemes of different orders of accuracy for the problem of transverse oscillations of a cylindrical shell
Keywords :
Runge-Kutta methods; crack-edge stress field analysis; differential equations; MDSB problems; Runge-Kutta methods; cylindrical shell; differential equations; edge effects; numerical integration; transverse oscillations; two-dimensional case; Differential equations; Materials reliability; Multidimensional systems; Nonlinear equations; Numerical stability; Solids; Stress;
Conference_Titel :
Science and Technology, 1999. KORUS '99. Proceedings. The Third Russian-Korean International Symposium on
Conference_Location :
Novosibirsk
Print_ISBN :
0-7803-5729-9
DOI :
10.1109/KORUS.1999.875946