Evaluation of the Rayleigh damping model for buildings

Cruz, Cristian; Miranda, Eduardo

doi:10.1016/j.engstruct.2017.02.001

Cited by 77 publications

(40 citation statements)

References 20 publications

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“…where coefficients a 1 and a 2 are obtained in the standard way from (see (Cruz & Miranda 2017)) using the first and second modes. The normalised loading vectors is as follows,…”

Section: Equation Of Motion In a Non-dimensional Formmentioning

confidence: 99%

Lateral dynamic bridge deck–pier interaction for ultra-high-speed Hyperloop train loading

Ahmadi

Alexander²,

Kashani

2020

Proceedings of the Institution of Civil Engineers - Bridge Engi

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The next generation of ultra-high-speed (UHS) trains, known as Hyperloop and TransPod, are aerospace type vehicles designed to carry passengers. The UHS employs a vehicle capsule within a protected vacuum tube deck, supported by reinforced concrete piers (i.e. multi-span viaduct). The tube environment allows multiple UHS vehicles to run in parallel simultaneously (i.e. twin tube deck) where asymmetric train loading will result in a large dynamic unbalanced moment on the piers. Therefore, exploring the lateral dynamic interaction of bridge deck (twin tube) and piers under such an unbalanced moment is an extremely important factor for analysis of viaducts under dynamic UHS train loading. Hence, this paper analytically addresses the dynamic bridge deck-pier interaction under UHS train loading for lateral vibration.

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“…where coefficients a 1 and a 2 are obtained in the standard way from (see (Cruz & Miranda 2017)) using the first and second modes. The normalised loading vectors is as follows,…”

Section: Equation Of Motion In a Non-dimensional Formmentioning

confidence: 99%

Lateral dynamic bridge deck–pier interaction for ultra-high-speed Hyperloop train loading

Ahmadi

Alexander²,

Kashani

2020

Proceedings of the Institution of Civil Engineers - Bridge Engi

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“…This problem could be due to the mass and damping matrices that are oversimplified. Indeed, Rayleigh damping is supposed to be a linear combination of stiffness and mass matrices (see, for example [20]). The linear coefficients of this combination are calculated from the damping of two deformation modes.…”

Section: Experimental Set-upmentioning

confidence: 99%

Numerical modelling of an undulating membrane tidal energy converter

Träsch¹,

Chambon

Déporte³

et al. 2020

Int. J. Mar. Ene.

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The undulating membrane tidal energy converter is a device that uses the flutter instabilities occurring from the interaction between a slender body and a fluid flow. A new numerical model has been developed using a 2D corotational finite element method to represent the structure and the unsteady point-vortex method to compute the flow. These methods as well as the interaction process are presented. Trajectory and frequency of the undulating motion, hydrodynamic forces on the structure and velocity field in the wake are presented. Comparison shows a good agreement with experimental results obtained from a 1/20th scale prototype without power take off tested in flume tank.

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“…where α 1 and α 2 are the constants selected to achieve the desired damping ratio at two preselected periods/ frequencies. e damping ratio for the nth mode of vibration is then given by [30]…”

Section: Dynamic Load Identification Algorithm Based On Explicit Wilsmentioning

confidence: 99%

Research on Dynamic Load Identification Based on Explicit Wilson‐θ and Improved Regularization Algorithm

Yuchuan

Zhao

2019

Shock and Vibration

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In the research of dynamic load identification, the method of obtaining kernel function matrix is usually rather cumbersome. To solve this problem, an explicit dynamic load identification algorithm based on the Wilson-θ (DLIAEW) method is proposed to easily obtain the kernel function matrix as long as the parameters of the system are known. To aim at the ill-posed problem in the inverse problem, this paper improves the Tikhonov regularization, proposes an improved regularization algorithm (IRA), and introduces the U-curve method to determine the regularization parameters. In the numeric simulation investigation of a four dofs vibrating system, effects of the sampling frequency and the noise level on the regularization parameters and the identification errors of impact and harmonic loads for the IRA are discussed in comparison with the Tikhonov regularization. Finally, the experiments of a cantilever beam excited by impact and harmonic loads are carried out to verify the advantages of the IRA.

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Evaluation of the Rayleigh damping model for buildings

Cited by 77 publications

References 20 publications

Lateral dynamic bridge deck–pier interaction for ultra-high-speed Hyperloop train loading

Lateral dynamic bridge deck–pier interaction for ultra-high-speed Hyperloop train loading

Numerical modelling of an undulating membrane tidal energy converter

Research on Dynamic Load Identification Based on Explicit Wilson‐θ and Improved Regularization Algorithm

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