Frictional contact problem in building constructions analysis

Николаевич, Попов Александр; Дмитриевич, Ловцов Александр

doi:10.18720/mce.100.1

Cited by 1 publication

(2 citation statements)

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“…As can be seen from Table 2, round-off errors can lead to values that are close to zero. In order to stop the algorithm in time, a user-defined parameter of the problem accuracy [47] is introduced. Example 2.…”

Section: Resultsmentioning

confidence: 99%

“…The purpose of this work is to create an algorithm that allows tracking the change of working schemes at the parametric increment in external load. The problem expansion parameter, whose physical meaning was the "tightening weight" in contact pairs, was used in [47] in the algorithm for solving the linear complementarity problem (LPC). In this paper, it was proposed to take the external load growth parameter as the parameter of the problem expansion.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Algorithm for calculating the problem of unilateral frictional contact with an increscent external load parameter

Popov,

Lovtsov

2023

Struct. Mech. of Eng. Const. and Build

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The subject of the study is the contact interaction of deformable elements of linear complementarity problem (LCP). To solve the linear complementarity problem, the Lemke method with the introduction of an increasing parameter of external loading is used. The proposed approach solves the degenerated matrix in a finite number of steps, while the dimensionality of the problem is limited to the area of contact. To solve the problem, the initial table of the Lemke method is generated using the contact matrix of stiffness and the contact load vector. The unknowns in the problem are mutual displacements and interaction forces of contacting pairs of points of deformable solids. The proposed approach makes it possible to evaluate the change in working schemes as the parameter of external load increases. The features of the proposed formulation of the problem are shown, the criteria for stopping the stepwise process of solving such problems are considered. Model examples for the proposed algorithm are given. The algorithm has shown its efficiency in application, including for complex model problems. Recommendations on the use of the proposed approach are given.

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Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%