Analytical solution for beams with multipoint boundary conditions on two-parameter elastic foundations

• Autorzy: Aslami M. , Akimov P. A.

Identyfikatory

DOI

10.1016/j.acme.2016.04.005

• Języki publikacji: EN

Abstrakty

EN

An efficient analytical method is presented for the closed form solution of continuous beams on two-parameter elastic foundations. The general form of the governing equation is reduced to a system of first-order differential equations with constant coefficients. The system is then solved using Jordan form decomposition for the coefficient matrix and construction of the fundamental solution. Common types of boundary conditions (pinned and roller support, hinge connection, fixed and free end) can be applied to an arbitrary point on the beam. The method has a completely computer-oriented algorithm, computational stability, and optimal conditionality of the resultant system and is a powerful alternative to the analytical solution of beams with multipoint boundary conditions on one- or two-parameter elastic foundations. Examples with different types of loading, boundary conditions, and foundation are presented to verify the method.

Słowa kluczowe

EN

analytical solution; continuous beam; elastic foundation; Jordan form; fundamental solution

PL

równania różniczkowe; analiza strukturalna; belka

• Wydawca: Springer ; Wrocław University of Science and Technology
• Czasopismo: Archives of Civil and Mechanical Engineering
• Rocznik: 2016
• Tom: Vol. 16, no. 4
• Strony: 668--677
• Opis fizyczny: Bibliogr. 30 poz., rys., tab., wykr.

Twórcy

autor

Aslami M.

• Department of Applied Mathematics and Computer Sciences, Moscow State University of Civil Engineering, 26, Yaroslavskoe Sh., Moscow, 129337, Russia
• Fasa University, Daneshjou blvd, Fasa, Fars Province, Iran

autor

Akimov P. A.

• Department of Applied Mathematics and Computer Sciences, Moscow State University of Civil Engineering, 26, Yaroslavskoe Sh., Moscow, 129337, Russia

Bibliografia

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Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę