PSI - Issue 73

ScienceDirect Structural Integrity Procedia 00 (2025) 000–000 Structural Integrity Procedia 00 (2025) 000–000 Available online at www.sciencedirect.com Available online at www.sciencedirect.com ScienceDirect Available online at www.sciencedirect.com ScienceDirect

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Procedia Structural Integrity 73 (2025) 66–72

23rd International Conference on Modelling in Mechanics 2025 The influence of frame structure parameters on its natural frequencies Lenka Koubova a * a Department of Structural Mechanics, Faculty of Civil Engineering, VSB-Technical University of Ostrava, Ludvika Podeste 1875/17, 708 00 Ostrava-Poruba, Czech Republic Abstract The moment-resisting frame (MRF) structures are well-known for having high lateral stiffness; they are made up of the rectilinear assemblage of beams and columns with the beams rigidly connected to the columns. These structures are designed to withstand lateral loads such as those from earthquakes or wind. The paper discusses the influence of the parameters of the MRF structures on their natural frequency. The relationship between the natural frequencies of the MRF structure and its total weight, lateral dimension in the direction of vibration, total height, and the number of columns in each floor of the frame structure is monitored. Free vibration analysis is applied to determine the natural frequencies and modes of vibration of the structure. MRF structures are analyzed numerically to obtain the aforementioned. A method of stiffness constants is used. So, for a structure, a stiffness matrix and mass matrix are defined, and based on their knowledge, the natural frequencies and mode shapes are determined. © 2025 The Authors. Published by ELSEVIER B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of 23rd International Conference on Modelling in Mechanics 2025 organizers Keywords: Moment-resisting frame; natural frequency; mode shape; stiffness matrix; mass matrix; method of stiffness constants 1. Introduction Moment-resisting frame (MRF) structures, consisting of a rectilinear arrangement of beams and columns with rigid connections between the beams and columns, are recognized for their substantial lateral stiffness. MRF systems can be steel, concrete, or masonry construction. They provide a complete space frame throughout the building to carry vertical loads, and they use some of those same frame elements to resist lateral forces. 23rd International Conference on Modelling in Mechanics 2025 The influence of frame structure parameters on its natural frequencies Lenka Koubova a * a Department of Structural Mechanics, Faculty of Civil Engineering, VSB-Technical University of Ostrava, Ludvika Podeste 1875/17, 708 00 Ostrava-Poruba, Czech Republic Abstract The moment-resisting frame (MRF) structures are well-known for having high lateral stiffness; they are made up of the rectilinear assemblage of beams and columns with the beams rigidly connected to the columns. These structures are designed to withstand lateral loads such as those from earthquakes or wind. The paper discusses the influence of the parameters of the MRF structures on their natural frequency. The relationship between the natural frequencies of the MRF structure and its total weight, lateral dimension in the direction of vibration, total height, and the number of columns in each floor of the frame structure is monitored. Free vibration analysis is applied to determine the natural frequencies and modes of vibration of the structure. MRF structures are analyzed numerically to obtain the aforementioned. A method of stiffness constants is used. So, for a structure, a stiffness matrix and mass matrix are defined, and based on their knowledge, the natural frequencies and mode shapes are determined. © 2025 The Authors. Published by ELSEVIER B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of 23rd International Conference on Modelling in Mechanics 2025 organizers Keywords: Moment-resisting frame; natural frequency; mode shape; stiffness matrix; mass matrix; method of stiffness constants 1. Introduction Moment-resisting frame (MRF) structures, consisting of a rectilinear arrangement of beams and columns with rigid connections between the beams and columns, are recognized for their substantial lateral stiffness. MRF systems can be steel, concrete, or masonry construction. They provide a complete space frame throughout the building to carry vertical loads, and they use some of those same frame elements to resist lateral forces. © 2025 The Authors. Published by ELSEVIER B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of the scientific committee of the event organizers

* Corresponding author. Tel.: +420 596 991 919. E-mail address: lenka.koubova@vsb.cz * Corresponding author. Tel.: +420 596 991 919. E-mail address: lenka.koubova@vsb.cz

2452-3216 © 2025 The Authors. Published by ELSEVIER B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of 23rd International Conference on Modelling in Mechanics 2025 organizers 2452-3216 © 2025 The Authors. Published by ELSEVIER B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of 23rd International Conference on Modelling in Mechanics 2025 organizers

2452-3216 © 2025 The Authors. Published by ELSEVIER B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of the scientific committee of the event organizers 10.1016/j.prostr.2025.10.011