Numerical Structural Analysis

Perelmuter, Anatoly V.; Slivker, Vladimir

doi:10.1007/978-3-540-36500-6

Cited by 26 publications

(18 citation statements)

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“…In Lithuania as well as in other countries design codes do not directly regulate design of non-typical structures [1]. Therefore, one should more carefully investigate the mechanical state of such system paying attention to the particular qualities and providing analysis of the most complicated fragments [2][3][4]. The numerical simulation methods are considered to be the most convenient and important means used in modern computational mechanics.…”

Section: Introductionmentioning

confidence: 99%

Investigation of mechanical state of spatial roof from steel trusses on asymmetric building

Samofalov

Žiūkas

2015

mech

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Section: Introductionmentioning

confidence: 99%

Investigation of mechanical state of spatial roof from steel trusses on asymmetric building

Samofalov

Žiūkas

2015

mech

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“…To calculate the correlation coefficient, the formulas of Newmark [16] and A. Der-Kiureghian [10,11,12] can be used. In Russia the formula of correlation coefficient was proposed by A.A. Petrov ( CINIS, M., 1978, vyp.5, p.23-28) and widely used in engineering practice [17,18].…”

Section: C R 1mentioning

confidence: 99%

Important feature of calculating bridges under seismic action

et al. 2020

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The purpose of the research is to show the main features of calculating bridge taking into account the inhomogeneous acceleration field along the structure length. The bridge is considered to be a linear structure with point bearings on the soil base. For long bridges it is typical, that their bearings are located in different seismogeological conditions. This result in inhomogeneity of the acceleration field under the piers and non-synchronous pier excitations. The motion equations of the system under consideration are constructed and their decomposition into vibration modes is performed without the account of external and internal damping in the system and with the account of it. Based on the proposed decomposition, formulas for determining seismic loads taking into account various seismicity under piers are obtained. The result obtained show that the peculiarities considered can be easily taken into account in existing software packages. As an example, the authors analyzed the results of calculating a four-span beam railway bridge. In calculating it was taken into account that the first and second piers are located on sandstone, and the rest of them are on water-saturated loose sand. The analysis showed that the account of the non-synchronous support point excitation of the extended system reduces inertial seismic loads on its elements significantly.

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“…There are numerous reasons why mathematical models are not precise descriptions of real engineering problems [18]. Thus, even the exact solution of the model is not a solution to a physical problem [19]. We do not know this solution and we will never know it.…”

Section: Final Considerationsmentioning

confidence: 99%

On smoothness of solutions to structural problems and physical interpretation of weak formulation

Dvornik

Lazarević

Fresl

et al. 2019

JCE

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On smoothness of solutions to structural problems and physical interpretation of weak formulation Typical structural modelling solutions are classified and described in the paper based on an approach that is more interpretative than formal. A special emphasis is placed on weak formulation and its physical interpretation which, in the authors' opinion, is lacking in the literature. The attention is also drawn to approximation errors, caused by insisting on excessive smoothness of solutions. These considerations are backed by examples. It is hoped that the paper will contribute to the understanding of the essence of approximation of practical models in civil engineering, while clearly demonstrating the power of weak formulation-the foundation of approximation procedures.

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Numerical Structural Analysis

Cited by 26 publications

References 0 publications

Investigation of mechanical state of spatial roof from steel trusses on asymmetric building

Investigation of mechanical state of spatial roof from steel trusses on asymmetric building

Important feature of calculating bridges under seismic action

On smoothness of solutions to structural problems and physical interpretation of weak formulation

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