Analysis by the mixed method of statically indeterminate frames with elements of increased rigidity and numerical verification of the calculation results using the finite element method

Svetlana Sazonova; Viktor F. Asminin; Alla V. Zvyaginceva

doi:doi:10.12737/2219-0767-2021-14-2-54-66

UDC 60 UDC 69

Analysis by the mixed method of statically indeterminate frames with elements of increased rigidity and numerical verification of the calculation results using the finite element method

Published в Modeling of systems and processes · Volume 14, Issue 2, 2021 · Pages 54–66 · Rubrics: Tehnicheskie nauki

DOI 10.12737/2219-0767-2021-14-2-54-66

Received: 26.03.2021 Accepted: 26.07.2021 Published: 26.07.2021

Authors

Svetlana Sazonova ¹ · Viktor F. Asminin ² · Alla V. Zvyaginceva ³

1 Russian Federation

2 Voronezh State University of Forestry and Technologies named after G.F. Morozov

3 Voronezh State Technical University

ABSTRACT

The sequence of application of the mixed method for calculating internal forces in statically indeterminate frames with elements of increased rigidity is given. The main system is chosen for the frame with one kinematic and one force unknown. The canonical equations of the mixed method are written, taking into account their meaning. Completed the construction of the final diagram of the bending moments and all the necessary calculations and checks. When calculating integrals, Vereshchagin's rule is applied. The solution of the problem is checked by performing the calculation using the computer program STAB12.EXE; the results of the calculations are numerically verified using the finite element method. An example of the formation of the initial data for the STAB12.EXE program and the subsequent processing of the calculation results, the rules for comparing the numerical results and the results obtained in the calculation of the frame by the mixed method are given.

KEYWORDS

Mixed method force method displacement method frame calculation statically indeterminate frames finite element method diagrams dangerous internal forces

Information References

Authors:

1. Russian Federation

2. Voronezh State University of Forestry and Technologies named after G.F. Morozov

3. Voronezh State Technical University

Type:

Article

Pages:

from 54 to 66

Status:

Published

Subject area:

UDC 60
UDC 69

Language:

Russian

Keywords:

Mixed method, force method, displacement method, frame calculation, statically indeterminate frames, finite element method, diagrams, dangerous internal forces

References

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