Topology optimization of floor-supporting beams in a solid-bottom gondola car

Dmitriy Beyn; Lyudmila Cyganskaya

doi:10.20295/2223-9987-2026-1-17-33

UDC 629.463.65 UDC 629.

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TOPOLOGY OPTIMIZATION OF FLOOR-SUPPORTING BEAMS IN A SOLID-BOTTOM GONDOLA CAR Topology optimization of floor-supporting beams in a solid-bottom gondola car

АА Аа

Published in Bulletin of scientific research results · Volume 2026, Issue 1 · Pages 17–33 · Rubric: PROBLEMATIC OF TRANSPORT SYSTEM

DOI: https://doi.org/10.20295/2223-9987-2026-1-17-33

Received: 02.04.2026 Accepted: 03.04.2026 Published: 03.04.2026

Authors

Dmitriy Beyn

Lyudmila Cyganskaya

Dmitriy Beyn

Academic degree: candidate of technical sciences

Joint Stock Company “Scientific Research Center “Vagony” deputy chief designer · Russian Federation

Lyudmila Cyganskaya

Academic degree: candidate of technical sciences

Science rang: docent

Emperor Alexander I St. Petersburg State Transport University Russian Federation · St. Petersburg

Joint Stock Company “Scientific and Innovation Center “Cars” Chief Designer · Russian Federation · St. Petersburg

ABSTRACT

Objective: to evaluate the potential for reducing the tare weight of a solid-bottom gondola car by lightening the floor-supporting welded beams through the application of the topology optimization method. Methods: a concise review of established parametric optimization approaches is presented. Topology optimization of the floor-supporting welded beam design was performed using the Evolutionary Structural Optimization (ESO) method. With an applied compressive force of 2.5 MN, the strength of the optimized supporting beam configuration was verified under the design load combined designated as mode 1b in GOST 33211. Results: implementing topology optimization on the welded beams of freight car frames, while constraining permissible sheet thickness variations, enables targeted modification of the beam cross-section. After technological refinement of the optimization outcomes, a beam design with less mass has been produced. Comparing the example to the original design, the mass has been lowered by a factor of 2.4 or 58%. Practical significance: this research demonstrates the applicability of topology optimization techniques to engineering design issues for metal freight vehicle structures. A supporting beam configuration that reduces mass while preserving the strength properties of the beam has been proposed. It consists of vertical sheets with trapezoidal cutouts and a lower sheet of variable width.

KEYWORDS

gondola car, gondola car frame, strength, topology optimization

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GOST

Beyn D. G., Cyganskaya L. V. Topology optimization of floor-supporting beams in a solid-bottom gondola car // Bulletin of scientific research results. 2026. no. 1. pp. 17-33. DOI: https://doi.org/10.20295/2223-9987-2026-1-17-33. (Date of access 12.10.2026).

MLA

Dmitriy Beyn, Cyganskaya L. V.. "Topology optimization of floor-supporting beams in a solid-bottom gondola car." Bulletin of scientific research results 2026.1 (2026): 17-33. DOI: https://doi.org/10.20295/2223-9987-2026-1-17-33.

APA

Beyn D. G., Cyganskaya L. V. (2026). Topology optimization of floor-supporting beams in a solid-bottom gondola car. Bulletin of scientific research results, 2026(1), 17-33. https://doi.org/10.20295/2223-9987-2026-1-17-33

Chicago

Dmitriy Beyn, Cyganskaya L. V.. "Topology optimization of floor-supporting beams in a solid-bottom gondola car." Bulletin of scientific research results 2026, no. 1 (2026): 17-33. https://doi.org/10.20295/2223-9987-2026-1-17-33.

WIKI

{{cite journal | author = Beyn D. G., Cyganskaya L. V. | title = Topology optimization of floor-supporting beams in a solid-bottom gondola car | journal = Bulletin of scientific research results | year = 2026 | volume = 2026 | issue = 1 | pages = 17-33 | doi = 10.20295/2223-9987-2026-1-17-33 }}

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TOPOLOGY OPTIMIZATION OF FLOOR-SUPPORTING BEAMS IN A SOLID-BOTTOM GONDOLA CAR Topology optimization of floor-supporting beams in a solid-bottom gondola car

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