Tapered beam–column analysis by analytical solution

Rezaiee‐Pajand, Mohammad; Masoodi, Amir R.; Bambaeechee, Mohsen

doi:10.1680/jstbu.18.00062

Cited by 11 publications

(3 citation statements)

References 34 publications

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“…However, the method applies equally well to beams with deterministic mean fields depending on the longitudinal variable x. Considering the mean field as a function of x could accommodate recent research on functionally graded, nonuniform beams as in [41] or [46]. At the expense of a more elaborate beam model, tapered beams as in [45] could be supplemented by a stochastic model, as well as the axially loaded beam-spring system that was designed for vibration control in [51].…”

Section: Introductionmentioning

confidence: 99%

Vibrations of a Bridge with Random Structural Irregularities Under Random Traffic Load and a Probabilistic Structural Degradation Assessment Approach

Eberle

Oberguggenberger

2022

J. Vib. Eng. Technol.

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Purpose Dynamic loads like traffic make bridges vibrate. Especially for bridges with a large span, vibrations have a significant impact on their structural stability and durability. Due to material defects, fatigue and other influences, a bridge typically has random structural irregularities, which affect its dynamic response. In this work, an effective mathematical approach is presented to study the dynamic response of a model single span slender beam bridge, in the presence of random structural irregularities. In addition, an approach to assess the structural degradation of a bridge is presented. Methods The slender beam bridge is modelled as an Euler-Bernoulli beam and the random structural irregularities are considered by random fields in the bending stiffness and the mass per unit length. As an illustrative example, the vibrations of a model road bridge are investigated for randomly crossing vehicles. After Monte Carlo experiments with and without random structural irregularities the vibrations and mechanical stresses of the bridge are determined and analysed. Results The study shows statistically significant variations in the most dominant frequencies with and without random structural irregularities. Conclusion The influence of the random irregularities on the structural stability status of a bridge may not be negligible. The probability of a serious structural degradation in the bridge can be assessed by means of a binomial logistic model. The developed approach enables a better understanding of the vibrations and structural status of bridges, taking into account random structural irregularities and random traffic.

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Section: Introductionmentioning

confidence: 99%

Vibrations of a Bridge with Random Structural Irregularities Under Random Traffic Load and a Probabilistic Structural Degradation Assessment Approach

Eberle

Oberguggenberger

2022

J. Vib. Eng. Technol.

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“…Another frequently encountered complicating effect associated with large framed structures is partial flexibility of connections between their beam and column elements [14]. So called semi-rigid characteristics of such beam-column connections cause failure of design based on classical assumption of rigid or simple connections [15]. The literature survey yields that boundary conditions of simply supported, clamped-clamped, cantilever or any other type of practical structural and machine elements depend on deformation state to some extent.…”

Section: Introductionmentioning

confidence: 99%

Large Deflection of Clamped Curved Beam Under Finite Clamping and Different Combinations of Bending-Stretching

Ghuku

Saha

2020

EST

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The paper experimentally and theoretically analyses large deflection behaviour of clamped curved beam subjected to finite clamping and combined bending-stretching loads. The experimental specimen is clamped around central location under vertically concave and convex orientations. For each specimen settings, clamping is done by two different torque values. Application of vertical end loads on the clamped concave and convex systems produces two different combinations of bending and in-plane loadings. Large deflection behaviour of the experimental system is modelled theoretically considering geometric nonlinearities coming from combined bending-stretching, non-uniform curvature and asymmetric geometry. Effect of finite clamping is incorporated in the theoretical model through equivalent additional end loads. Due to the involved geometric nonlinearities, analysis is carried out through variational energy principle based incremental Lagrangian approach in curvilinear system and transformed into global frame. The semi-analytical model is successfully validated by comparing with the experimental results. The combined theoretical-experimental study addresses practical complication associated with local deformation at boundaries. In addition, the physically plausible theoretical model may be of interest for simulation of many real world structures with complicating system parameters. Moreover, observations on combined effects of curvature, loading combinations and finite clamping may provide reference for design optimization of equivalent engineering structures.

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“…Most of them were based on the analytical solution. So a closed-form solution was available to reach the buckling load [1][2][3]. One of the old experimental investigations about the cylindrical shell buckling was performed by Babcock.…”

Section: Introductionmentioning

confidence: 99%

Shell instability analysis by using mixed interpolation

Rezaiee‐Pajand

Masoodi

2019

J Braz. Soc. Mech. Sci. Eng.

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In this paper, buckling and post-buckling behavior of plates and shells are investigated. An efficient triangular shell element having six nodes is employed in this study. To consider large deflection and rotation, total Lagrangian formulation is utilized. The authors employ mixed interpolation for strain fields to deviate shear and membrane locking phenomena. The effects of different types of boundary conditions and geometry properties of plates and shells are studied. An almost complete literature review is also provided to show the progress of researches about the current topics. Various states of buckling including bifurcation and snap-through are assessed in different problems. In this study, the popular benchmarks of shell structures are analyzed to show the accuracy and capability of element. In addition, some new benchmarks which can be used by other researchers are also introduced and solved. Further, a comparison study between the proposed element and NLDKGQ element in OpenSees software is implemented for some complex curved shell structures.

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Tapered beam–column analysis by analytical solution

Cited by 11 publications

References 34 publications

Vibrations of a Bridge with Random Structural Irregularities Under Random Traffic Load and a Probabilistic Structural Degradation Assessment Approach

Vibrations of a Bridge with Random Structural Irregularities Under Random Traffic Load and a Probabilistic Structural Degradation Assessment Approach

Large Deflection of Clamped Curved Beam Under Finite Clamping and Different Combinations of Bending-Stretching

Shell instability analysis by using mixed interpolation

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