Vibration Analysis of Asymmetric-Plan Frame Buildings Using Transfer Matrix Method

Bozdoğan, Kanat Burak; Öztürk, Duygu

doi:10.3390/mca15020279

Cited by 3 publications

(3 citation statements)

References 12 publications

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“…The investigation successfully achieved computing times that were one-seventh that of ANSYS finite element methods. Reference [42] proposed a method to analyze the vibration of asymmetric plane steel frames. The transfer matrix method and boundary conditions were applied to solving the equations of motion which gave the natural frequencies.…”

Section: Transfer Matrix Approachmentioning

confidence: 99%

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A Review of the Vibration Analysis Methods for Frame Structures

2022

BSETN-22 &Amp; L2hs2-22 Sept. 12-14, 2022 Budapest (Hungary)

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Frames are basic structural components that appear in civil engineering applications, as well as chemical, mechanical and aerospace fields. With the size and complexity of modern-day structures and machinery increasing, frames are now required to withstand much larger cyclic loads. This article attempts to review some of the literature from the past twenty-one years, on how researchers analysed the vibrations in structural frames. This review also places emphasis on the methods used to analyse frames with semi-rigid connections, due to their impact on structural response. The theories used by authors to model beam and column elements, along with the methods used to solve the equations of motion are covered. Sections outlining the vibration and damage monitoring methods are also presented in this article. Other sections cover the research into soil structure interactions, the use of shape memory alloys (SMAs) and piezoelectric devices, as well as physical experiments that were conducted.

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Section: Transfer Matrix Approachmentioning

confidence: 99%

“…[34] Transfer Matrix Approach Ref. [42] Newmark's Method Ref. [53] Additional Modal Analysis Techniques…”

Section: Referencementioning

confidence: 99%

A Review of the Vibration Analysis Methods for Frame Structures

2022

BSETN-22 &Amp; L2hs2-22 Sept. 12-14, 2022 Budapest (Hungary)

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“…However, it should be noted that limiting the scope of the formulations to only out-of-plane or only in-plane will, of course, yield a certain set of the natural frequencies of the structure and not a complete set of natural frequencies in the range of interest. To this extent, the transfer matrix method is one of the most frequently encountered analytical methods in the literature (Bozdogan and Ozturk, 2010; Lin and Ro, 2003; Nagem and Williams, 1989; Uhrig, 1966; Yang et al, 2017). As a method for analytical solutions, the wave vibration approach enables one to solve the vibrations of structures as complex as multi-bay frames in an exact way (Mei, 2013).…”

Section: Introductionmentioning

confidence: 99%

Free vibrations of spatial frame structures: Analytical modelling and solution

Genel

Tüfekçi

2022

Journal of Vibration and Control

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This study analytically handles the three-dimensional free vibrations of spatial frames using the initial values method, considering the axial and shear deformations alongside rotary inertias, namely, torsional, in-plane bending and out-of-plane bending. To handle the spatial geometry, the direction cosine matrices are used. Validation is performed with three cases in total, one case available in the literature alongside two numerical examples that are solved analytically and compared to the finite element models. Excellent agreements are found between the analytical results and the results in the literature, as well as those obtained from the finite element models.

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Regulation of the Natural Oscillations Parameters of a Building Spatial Frame in the LIRA Software

Kotenko

Razveeva

Ivanchenko

et al. 2022

jour

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Introduction. In recent years many researchers have become interested in applying the various types of finite element method to studying of the buildings oscillation problems. In recent decades the finite element method is being successfully used for natural oscillations analysis along with the physical modeling. The scaled physical modeling and experimental approaches are also suitable for solving the complex problems. The main aim of our research is to identify the dependence of dynamic characteristics of a building frame on geometric characteristics of the frame elements. The objective of this research is to make an analysis and overview of the topic, to determine the scientific deficit, to conduct numerical and experimental studies, to formulate conclusions, to model and analyse the results. The scientific novelty consists in the possibility to use the obtained data on building frame natural oscillations depending on the geometric characteristics of the frame elements as an optimal rigidness ratio. The practical significance of the research consists in development of specific analytical relations for choosing a building frame design solution with an optimal natural frequencies parameter to be used in design and construction practice.Materials and methods. The creation and calculation of the finite element model was carried out in the LIRA software package.Results. As a result of calculation the frequencies and periods of building frame natural oscillations were obtained.Discussion and conclusions. Based on the results of the building natural oscillations analysis the conclusion was made that by changing the frame elements rigidity it’s possible to select its dynamic characteristics to find the optimal design solution of structures.

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Vibration Analysis of Asymmetric-Plan Frame Buildings Using Transfer Matrix Method

Cited by 3 publications

References 12 publications

A Review of the Vibration Analysis Methods for Frame Structures

A Review of the Vibration Analysis Methods for Frame Structures

Free vibrations of spatial frame structures: Analytical modelling and solution

Regulation of the Natural Oscillations Parameters of a Building Spatial Frame in the LIRA Software

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