On the out-of-plane dynamic response of horizontally curved beams resting on elastic foundation traversed by a moving mass

Abdoos, Hassan; Khaloo, Alireza; Foyouzat, M.A.

doi:10.1016/j.jsv.2020.115397

Cited by 21 publications

(4 citation statements)

References 43 publications

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“…Moreover, its periodicity cell can be defined as presented in Figure 2, where γ is a dimensionless parameter γ ∈< 0, 1 >. Let us analyse the system of the governing equations of TM (5). By assuming only one fluctuation shape function h 1 (x), the presented system of governing equations is limited to only two equations:…”

Section: Derivation Of Formulas For Critical Force Parametersmentioning

confidence: 99%

“…Another branch of engineering, which is very frequently addressed in the literature is connected with the dynamic response of the considered structure to the external loading. Such a case was investigated by Javadi and Rahmanian [4], who examined the nonlinear vibrations of a fractional Kelvin-Voigt viscoelastic beam; by Abdoos et al [5], who investigated the response of curved beams to a moving mass; and by Hien et al [6], who used a spring-damper-mass system to model a random vehicle moving through the beam. Similar works may lead to the creation of a specific theoretical framework, which could have an outstanding practical application, such as in the damage detection of railway tracks, proposed by Yang et al [7]; hence, this topic is well worth studying.…”

Section: Introductionmentioning

confidence: 99%

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The Stability Analysis of Periodic Beams Interacting with Periodic Elastic Foundation with the Use of the Tolerance Averaging Technique

Marczak

Jędrysiak

2021

Materials

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In this paper a stability analysis of microperiodic beams resting on the periodic inhomogeneous foundation is carried out. The main issue of this considerations, which is the analytical solution to the governing equations characterised by periodic, highly oscillating and non-continuous coefficients, is overwhelmed by the application of the tolerance averaging technique. As a result of such application, the governing equation is transformed into a form with constant coefficients which can be solved using well-known mathematical methods. In several calculation examples, the convergence of the results of two derived averaged models is examined, as well as the convergence of the lowest value of the critical force parameter derived from the averaged models with the FEM model. The results prove the superiority of the presented analytical solution over the FEM analysis in the optimisation process.

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Section: Derivation Of Formulas For Critical Force Parametersmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

The Stability Analysis of Periodic Beams Interacting with Periodic Elastic Foundation with the Use of the Tolerance Averaging Technique

Marczak

Jędrysiak

2021

Materials

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“…Jun Luo et al [13] proposed a semi-analytical solution for the free vibration of curvilinear rails with a vehicle-bridge coupling. Abdoos H. et al [14] achieved the out-of-plane dynamic response of a curved beam under the action of a moving mass underlying an elastic foundation. S. H. Li et al [15] obtained analytical solutions for the vertical, torsional, radial, and axial responses of a curved beam under a three-way moving load.…”

Section: Introductionmentioning

confidence: 99%

Out-of-Plane Dynamic Response of Elliptic Curved Steel Beams Based on the Precise Integration Method

Zhai

Zhao

2023

Buildings

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The dynamic response of curved steel beams has long been a research focus in curved bridges. The formula for the dynamic response under a moving load was derived according to the basic principles of the precise integration method. Combined with the necessary conditions of this method, the stiffness matrix of a variable-curvature beam was obtained using matrix inversion, and the mass matrix of the structure was obtained using the concentrated mass method. The dynamic response of the structure was obtained by applying moving loads and masses at different speeds to the curved beam. Finite element simulation and laboratory curved-beam models of the variable-curvature steel beam were established. By comparing the laboratory measurement results against the theoretical data obtained in this study, we propose that our theory has practical engineering significance. It can be used as a theoretical basis for the study of variable curvature steel beam structures and for guiding the construction of curved beams.

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“…7,8 A wealth of investigation can be found in the technical literature, in which the overall performance of structural elements with in-plane curvature has been examined in detail. These elements can generally be cataloged as (1) horizontally curved beams, [9][10][11][12] (2) horizontally curved girders and bridges, [13][14][15][16] (3) curved RC shear walls, 17 (4) curved double steel-concrete composite shear walls, 18 and (5) curved masonry walls. 19 The prime example of a curved wall is the so-called Thomas Jefferson's curved masonry wall, at the University of Virginia.…”

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confidence: 99%

An analytical investigation into the lateral load response of curved RC shear walls

Abdoos,

Khaloo,

Tabiee

2024

Structural Design Tall Build

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SummaryCurved structural elements can extensively be employed in engineering applications, to which structural designers and architects can resort in order to cope with the existing structural limitations and architectural challenges. In this regard, the current study is an attempt to provide insight into the overall performance of curved reinforced concrete (RC) shear walls (CRCSWs) due to the gaps existing in the literature. In order to fulfill this purpose, a CRCSW with general cross‐section has been considered subjected to the applied bi‐lateral and axial loadings. Equivalent non‐rectangular T‐, U‐, and L‐shaped sections are then introduced in lieu of a curved section. Thereafter, the stress and displacement distributions of CRCSWs have been analytically established. In order to highlight the structural merits of CRCSWs, a comparative study is performed based on the six non‐dimensional parameters defined in this study. According to the comparative study conducted between the CRCSWs and the equivalent non‐rectangular flanged walls, unlike latter wall types, the shear‐lag effects do not make serious issues for the performance of CRCSWs. Furthermore, to make a more realistic judgment on the response of CRCSWs, a numerical investigation has been carried out utilizing the finite element (FE) software Abaqus. On the strength of the data obtained from the FE simulation of 90 CRCSWs in three categories of short, squat, and slender walls, a regression model has been established, which is advantageous in that it can supply a means for the initial estimation of the shear strength of CRCSWs. The average R‐factor of 0.88 indicates that the established formulations can potentially well predict the shear strength of CRCSWs. The findings of this study divulge that, in addition to the inherent aesthetical advantages of CRCSWs, these structural elements can effectively resist against bi‐directional loadings as compared with the equivalent RC walls with flanged sections.

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On the out-of-plane dynamic response of horizontally curved beams resting on elastic foundation traversed by a moving mass

Cited by 21 publications

References 43 publications

The Stability Analysis of Periodic Beams Interacting with Periodic Elastic Foundation with the Use of the Tolerance Averaging Technique

The Stability Analysis of Periodic Beams Interacting with Periodic Elastic Foundation with the Use of the Tolerance Averaging Technique

Out-of-Plane Dynamic Response of Elliptic Curved Steel Beams Based on the Precise Integration Method

An analytical investigation into the lateral load response of curved RC shear walls

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