About correct method of analytical solution of multipoint boundary problems of structural mechanics for systems of ordinary differential equations with piecewise constant coefficients

• Autorzy: Akimov P. A. , Sidorov V. N. , Mozgaleva M. L.
• Języki publikacji: EN

Abstrakty

EN

This paper is devoted to correct method of analytical solution of multipoint boundary problems of structural mechanics for systems of ordinary differential equations with piecewise constant coefficients. Its major peculiarities include uni-versality, computer-oriented algorithm involving theory of distributions, computational stability, optimal conditionality of resultant systems and partial Jordan decomposition of matrix of coefficients, eliminating necessity of calculation of root vectors.

• Wydawca: Wydawnictwo Politechniki Świętokrzyskiej
• Czasopismo: Structure and Environment
• Rocznik: 2010
• Tom: Vol. 2. no. 3
• Strony: 21--24
• Opis fizyczny: Bibliogr. 4 poz., wzory

Twórcy

autor

Akimov P. A.

autor

Sidorov V. N.

autor

Mozgaleva M. L.

• Moscow State University of Civil Engineering 26, Yaroslavskoe Shosse, 129337, Moscow, Russia,

Bibliografia

• [1] Zolotov A. B., Akimov P. A., Sidorov V. N.: Correct Discrete-Continual Finite Element Method for Three-Dimensional Problems of Structural Analysis. Journal of Beijing University of Civil Engineering and Architecture. Vol. 25, No. 2, Jun. 2009.
• [2] Zolotov A. B., Akimov P. A., Sidorov V. N., Mozgaleva M. L.: Discrete-continual methods of structural analysis. Moscow, Architecture - S, 2010, 336 pages (in Russian).
• [3] Zolotov A. B., Akimov P. A.: Semianalytical Finite Element Method for Two-dimensional and Threedimensional Problems of Structural Analysis. //Proceedings of the International Symposium LSCE2002 organized by Polish Chapter of IASS, Warsaw, Poland, 2002, pp. 431-440.
• [4] Horn A. R., Johnson C. R.: Matrix Analysis. Cambridge University Press, 1990, 575 pages.