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Analytical solution for beams with multipoint boundary conditions on two-parameter elastic foundations
An efficient analytical methodispresented for the closed form solutionofcontinuousbeams 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.
Analytical solution for beams with multipoint boundary conditions on two-parameter elastic foundations
An efficient analytical methodispresented for the closed form solutionofcontinuousbeams 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.
Analytical solution for beams with multipoint boundary conditions on two-parameter elastic foundations
Archiv.Civ.Mech.Eng
Aslami, M. (author) / Akimov, P. A. (author)
Archives of Civil and Mechanical Engineering ; 16 ; 668-677
2016-12-01
10 pages
Article (Journal)
Electronic Resource
English
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