Comparative analysis of models of limiting supports in the study of structurally nonlinear oscillations of elastically supported bar from mobile load

Gridnev, Sergey; Skalko, Yuriy; Minaeva, N. V.; Yanaeva, V. V.

doi:10.1088/1742-6596/1203/1/012030

Cited by 2 publications

(2 citation statements)

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“…A model of an elastic rod of length l with free ends previously considered in [2,18] was taken as a calculation scheme. In this model the rod is under the action of a combination of concentrated forces from the dynamic tire pressures Rk(t) of a three-axle vehicle, forces in the linings under the floating supports Sj(t) and forces Pl(t) and Pr(t) acting the rod from the left and right side of the transition parts, respectively ( Fig.…”

Section: Calculation Scheme and Mathematical Modelmentioning

confidence: 99%

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Modeling of Constructions’ Structurally Nonlinear Oscillations Using Chebyshev's Polynomials

Gridnev

Skalko

Shimanovsky

2020

mech

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A numerical algorithm for solving initial-boundary value problems with nonlinear boundary conditions was developed and implemented. The algorithm is constructed with reference to modeling of oscillations of an elastically supported deformable rod with limit stops at the ends under the action of a moving variable force. Such a rod is the design scheme of a number of building structures, including the span structure of a floating bridge of continuous system with limiting rigid supports at the ends. Chebyshev's polynomials were used to improve the computational schemes for realizing the practical problems of modeling constructive-nonlinear oscillations of building structures. The solution does not lose stability for large values of the elasticity coefficients of elastic couplings. Using the developed approach, it is possible to perform virtual computing experiments to skip a variety of movable loads on the floating bridge to analyze its deformed state and to make well-grounded design decisions.

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Section: Calculation Scheme and Mathematical Modelmentioning

confidence: 99%

“…The solution of some problems of building structures static calculation can be obtained in analytic form that allows to study the impact of various construction parameters in an explicit form [17]. This work is performed on the basis of the results obtained in [2,18] and it is their continuation and development.…”

Section: Introductionmentioning

confidence: 99%

Modeling of Constructions’ Structurally Nonlinear Oscillations Using Chebyshev's Polynomials

Gridnev

Skalko

Shimanovsky

2020

mech

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Review and comparative analysis of computational algorithms for modeling the dynamics of elastically supported structural systems

Skalko

Gridnev

2021

IOP Conf. Ser.: Mater. Sci. Eng.

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The work is devoted to the comparative analysis of computational algorithms for modeling the dynamics of elastically supported structural systems with intermediate and limiting supports in the presence of point forces applied to the superstructure. The considered algorithms are based on the model formulation in the form of a system of partial differential equations for generalized functions. This approach avoids the need to subordinate the basic functions to the boundary conditions and include the presence of sources of the forces, applied at a certain point, in the model.

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Comparative analysis of models of limiting supports in the study of structurally nonlinear oscillations of elastically supported bar from mobile load

Cited by 2 publications

References 1 publication

Modeling of Constructions’ Structurally Nonlinear Oscillations Using Chebyshev's Polynomials

Modeling of Constructions’ Structurally Nonlinear Oscillations Using Chebyshev's Polynomials

Review and comparative analysis of computational algorithms for modeling the dynamics of elastically supported structural systems

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