2021
DOI: 10.1088/1742-6596/2070/1/012156
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Assessment of stress state and dynamic characteristics of plane and spatial structure

Abstract: This study is devoted to the assessment of the stress state and dynamic characteristics of various structures. The actual task at the design stage is to determine the parameters of a structure. In this article, a mathematical model was developed for assessing the stress state and dynamic characteristics of plane and spatial structures based on the Lagrange variational equation using the d’Alembert principle. The variational problem for the structures considered by the finite element method leads to the solutio… Show more

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Cited by 5 publications
(4 citation statements)
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“…x Along with this, the stress-strain state and dynamic behavior of various structures were studied in [31][32][33][34][35][36][37][38][39][40][41][42][43], taking into account the nonlinear, inelastic properties of the material and the features of their deformation.…”
Section: Introductionmentioning
confidence: 99%
“…x Along with this, the stress-strain state and dynamic behavior of various structures were studied in [31][32][33][34][35][36][37][38][39][40][41][42][43], taking into account the nonlinear, inelastic properties of the material and the features of their deformation.…”
Section: Introductionmentioning
confidence: 99%
“…-the research given in [35] is devoted to the evaluation of the SSS and dynamic characteristics of various dam structures. With the proposed model and the FEM, the natural frequencies and modes of vibrations of an earth dam with a height of 296 m were studied.…”
Section: Introductionmentioning
confidence: 99%
“…Static and dynamic stress states of various soil dams are considered in [6][7][8][9][10][11][12][13][14][15]; these studies take into account the design features of structures, nonlinear and moisture properties of soils, the interaction of structures with the water environment of the reservoir, and other features of structures.…”
Section: Introductionmentioning
confidence: 99%