Finite element model of circularly curved Timoshenko beam for in-plane vibration analysis

Nadi, Azin; Raghebi, Mehdi

doi:10.5937/fme2103615n

Cited by 2 publications

(3 citation statements)

References 35 publications

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“…A simple-supported curved box girder bridge was taken as the research object; the main parameters were as follows: calculated span L = 24.0 m, girder radius R = 100.0 m, elastic modulus E = 3.250 × 1010 N/m 2 , shear modulus G = 1.350 × 1010 N/m 2 , and density ρ = 2600 kg/m 3 . The main girder's cross-section was a single box single chamber with a cross-sectional area of A = 4.392 m 2 , a cross-sectional moment of inertia I y = 2.443 m 4 , I z = 20.721 m 4 , and a free torsional moment of inertia J = 5.042 m 4 . The main girder section is shown in Figure 2.…”

Section: Verification Of Programsmentioning

confidence: 99%

“…The setting of the bridge deck superelevation and the existence of centrifugal force make the radial vibration of the vehicle-bridge coupling system along the curve aspects that cannot be ignored. The coupling relationship of curved girder bridges is more complex than that of straight bridges [4,5]. There are many studies on the coupling vibration of vehicles and bridges in straight bridges [6,7].…”

Section: Introductionmentioning

confidence: 99%

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Analysis of Vehicle-Bridge Coupling Vibration Characteristics of Curved Girder Bridges

Cao,

Lu,

Chen

2024

Applied Sciences

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When vehicles move on a bridge, the coupling effect between vehicles and bridges can affect driving safety and comfort, especially for curved bridges, therefore, choosing reasonable design parameters for curved bridges is crucial. In this article, a three-span curved continuous box-girder bridge was taken as the research object; the entire process of vehicle-bridge coupling vibration of highway curved girder bridges was conducted via numerical simulation and the vehicle-bridge coupling vibration analysis program Cmck 1.0 was developed. Then, the influence factors such as curvature radius, constraint mode, and vehicle characteristics on the vehicle-bridge coupling vibration of curved girder bridges were explored. The results showed that as the curvature radius increased, the dynamic response of the bridge offered a gradually decreasing trend and compared to the vertical dynamic response, the torsional response was more sensitive to the influence of the curvature radius. Different constraint methods significantly impacted the dynamic response of bridges, and the vertical and torsional dynamic responses of bridges under general constraint arrangement of straight bridges were increased compared to those under boundary conditions for curved beam bridges. As the axle load of the car decreases, the bridge mid-span vertical and torsional dynamic responses showed a decreasing trend. In contrast, the lateral dynamic response gradually increased.

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Section: Verification Of Programsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Analysis of Vehicle-Bridge Coupling Vibration Characteristics of Curved Girder Bridges

Cao,

Lu,

Chen

2024

Applied Sciences

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“…Nadi A et al [13] proposed a finite element method for analyzing in-plane vibrations of Timoshenko curved beams. They derived the stiffness matrix and mass matrix of a curved beam element, considering shear deformation and rotational inertia, based on the force-displacement relationship and kinetic energy theorem.…”

Section: Introductionmentioning

confidence: 99%

Finite Element Analysis of Curved Beam Elements Employing Trigonometric Displacement Distribution Patterns

Cao,

Chen,

Zhang

et al. 2023

Buildings

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A finite element analysis (FEA) model was developed for Euler and Timoshenko curved beam elements by incorporating trigonometric displacement distribution patterns. Local polar coordinate stiffness matrices were derived based on force-displacement relations and static equilibrium conditions. By employing the kinetic energy theorem and triangular displacement functions, an expression for the consistent mass matrix of a curved beam element was obtained. A coordinate transformation matrix for the curved beam element was established by relating the local polar coordinate system to the global polar coordinate system. Calculation programs were implemented in the Fortran language to evaluate the static–dynamic performance and natural frequency characteristics of curved beam bridges. The obtained results were then compared with those obtained using ANSYS solid models and “replace curve with straight” beam element models. The comparison demonstrated a strong agreement between the results of the Euler and Timoshenko curved beam element models and those of the ANSYS solid models. However, discrepancies were observed when comparing with the results of the “replace curve with straight” beam element model, particularly in terms of lateral static displacement. This discrepancy suggests that the characteristic matrix derived in this study accurately represents the stiffness and mass distribution of the curved beam, making it suitable for mechanical performance analysis of curved beam bridges. It should be noted that the “replace curve with straight” method overlooks the initial curvature and the bending–torsion coupling effects of a curved beam, resulting in calculation deviations. On the other hand, the use of curved beam elements in numerical analysis provides a simple and practical approach, which facilitates further research in areas such as vehicle–bridge coupling vibrations and seismic analysis of curved beam bridges.

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Finite element model of circularly curved Timoshenko beam for in-plane vibration analysis

Cited by 2 publications

References 35 publications

Analysis of Vehicle-Bridge Coupling Vibration Characteristics of Curved Girder Bridges

Analysis of Vehicle-Bridge Coupling Vibration Characteristics of Curved Girder Bridges

Finite Element Analysis of Curved Beam Elements Employing Trigonometric Displacement Distribution Patterns

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