Single variable shear deformation theory for free vibration and harmonic response of frames on flexible foundation

Bozyiğit, Baran; Yeşilce, Yusuf; Wahab, Magd Abdel

doi:10.1016/j.engstruct.2020.110268

Cited by 18 publications

(4 citation statements)

References 49 publications

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“…Te cross-sections of the tie beam have the structure of single room box beam, and the preset initial tension of the suspenders is shown in Figure 6. Bozyigit et al ([27], [28]) had modelled damage as stifness reduction considering linear rotational spring. In this paper, the damage is simulated with the reduction of the elastic modulus of damaged elements.…”

Section: Damage Identifcation Methods Of Planar Tied-archmentioning

confidence: 99%

Damage Identification Method of Tied‐Arch Bridges Based on the Equivalent Thrust‐Influenced Line

Zhou,

Li,

Shi

et al. 2024

Structural Control and Health Monitoring

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Early tied-arch bridges cannot satisfy the current traffic load demand due to their load grades and maintenance levels. Also, these tied-arch bridges have accumulated structural damage with increasingly prominent safety risks. In order to accurately evaluate the characteristics of tied-arch bridges’ structural-influenced lines and identify damage of their arch ribs and suspenders, two analytical solutions are derived and established in this paper for the thrust-influenced lines of parabola and catenary two-hinged arches with a tie beam. A new method and an index for identifying damage of arch ribs and suspenders of tied-arch bridges are proposed. The results of numerical simulation in this paper verified that the proposed analytical solution has good analytical accuracy in practice on those two-hinged nonflat arches. With the use of equivalent thrust-influenced line difference curvature, the effectiveness of damage identification and the verification method were verified on the tie beam, suspender, and arch rib of plane tie arch structure as well as the suspender and arch rib of tied-arch bridges in this research. Furthermore, combining with grey relation analysis, the noise immunity of the proposed index method can be verified. Also, thrust-influenced line recognition based on VMD (variational mode decomposition) is introduced, and a practical process of bridge health assessment based on the quasistatic-influenced line loading of three-axle heavy vehicles is established. Theoretical analysis and numerical verification show that the calculated error of the analytic solution of two-hinged arches with a rise-span ratio greater than 1/8 is less than 9.57%, and the error decreases with the increase of the rise-span ratio. Therefore, it can be applied to the calculation and analysis of tied-arch bridges with a rise-span ratio range between 1/4 and 1/5. With the equivalent thrust-influenced line index proposed in this paper, the damage of suspenders and arch ribs of tied-arch bridges can be accurately located. It has been found that the proposed method is more effective to identify the damage of suspenders than the damage of arch ribs does, showing good noise immunity. In summary, this research has provided theoretical support for arch bridge design and evaluation. Combining with existing bridge-monitoring methods, the new bridge damage identification method proposed in this paper has the prospect of realizing the normal health status assessment of existing tied-arch bridges.

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Section: Damage Identifcation Methods Of Planar Tied-archmentioning

confidence: 99%

Damage Identification Method of Tied‐Arch Bridges Based on the Equivalent Thrust‐Influenced Line

Zhou,

Li,

Shi

et al. 2024

Structural Control and Health Monitoring

View full text Add to dashboard Cite

show abstract

“…Te results of DTM and ADM show excellent agreement, utilizing the dynamic stifness method (DSM) to verify the mode shapes and highlighting its applicability to free vibration of beam assembly structures resting on a viscoelastic basis. Additionally, the natural frequencies and harmonic response of the cracked frame were analysed using the transfer matrix method (TMM), single variable shear deformation theory (SVSDT), and Timoshenko beam theory, and it was shown that TMM can be used for simple and efcient analysis [3][4][5].…”

Section: Introductionmentioning

confidence: 99%

Position Optimization of Passive Patch Based on Mode Contribution Factor for Vibration Attenuation of Asymmetric 1D Structure

Hong,

Lee,

Kim

2024

Shock and Vibration

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When the thickness of a structure is reduced to decrease weight, it may experience structural vibration and disturbance. The use of passive patches is effective in addressing this issue when the loss factor is small or when space and weight are restricted. The greatest attenuation occurs when passive patches are used across the entire coverage area. However, passive patches of reasonable size must be affixed to ensure that they are effective in terms of cost and design. In this paper, the sum of squares’ value for the bending mode shape is used to determine the location of a small passive patch to achieve vibration damping for multiple modes. Under the condition of forced vibration, the modal contribution of each mode is obtained. Using this contribution as a weight, the optimal position of the passive patch is determined as the maximum value obtained in the form of a linear combination multiplied by the curvature of the beam. Simulation and experiment were used to test the efficacy of the location determined for passive patches. It was determined that, depending on the location of the passive patch, the peak amplitude at the natural frequency of each mode decreased significantly, validating the effectiveness of the design method.

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“…Singh et al 29,30 assessed the dynamic pressure developed over the lock gates (unstiffened and stiffened) for the different aspect ratios. Bozyigit et al 31 used the transfer matrix method to determine the vibration characteristic of cracked frames with different crack ratios. Purohit et al 32 determined the vibration response of flexible plates subjected to external excitation in contact with the fluid.…”

Section: Introductionmentioning

confidence: 99%

Forced vibration characteristics of lock gate structure

Singh

Pal

Duggal

2023

Noise & Vibration Worldwide

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The influence of fluid on the lock gate structure in a dam-reservoir system subjected to sinusoidal excitation is investigated. The gate’s material is considered homogeneous, isotropic, prismatic, and elastic, and the gate is analysed using Mindlin’s plate theory. The fluid is considered non-viscous, incompressible, and has an irrotational flow field. The method of separation of variables with the Fourier half range cosine series is used to solve the fluid domain’s Laplace equation. The fluid’s infinite length is curtailed near the gate, controlling the calculations without affecting the results too much. Both the domains are interacted with each other by transferring the fluid’s pressure to the gate and the gate’s acceleration to fluid. At the fluid’s free surface, undisturbed and linearised, conditions are considered. The Newmark-beta time integration approach is used to solve the forced vibration equations using developed FORTRAN computer code. A study has been performed to assess the dynamic pressure variation due to fluid. The present results may be valuable if the lock gate is subjected to any terrible natural phenomena.

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Single variable shear deformation theory for free vibration and harmonic response of frames on flexible foundation

Cited by 18 publications

References 49 publications

Damage Identification Method of Tied‐Arch Bridges Based on the Equivalent Thrust‐Influenced Line

Damage Identification Method of Tied‐Arch Bridges Based on the Equivalent Thrust‐Influenced Line

Position Optimization of Passive Patch Based on Mode Contribution Factor for Vibration Attenuation of Asymmetric 1D Structure

Forced vibration characteristics of lock gate structure

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