Wave finite element method for waveguides and periodic structures subjected to arbitrary loads

Hoang, Tien; Duhamel, Denis; Foret, Gilles

doi:10.1016/j.finel.2020.103437

Cited by 16 publications

(6 citation statements)

References 16 publications

(31 reference statements)

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“…λ = e −jk r ∆ indicates the amplitude and phase changes when guided waves transmit through one unit cell [27,28], where k r is the polar wave-number [29,30], ∆ is the radian of the unit cell as shown in Figure 3, and j = √ −1. The wave shape associated with each λ is q L q R q I T .…”

Section: Wave Finite Element Methodsmentioning

confidence: 99%

A Homogenization Method for Replacement Stator Models in an Aero-Engine

Wang

Fan

et al. 2022

Aerospace

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Generally, the high-fidelity finite element models of aero-engines comprise millions of degrees of freedom (DOFs). Although they can provide precise predictions of structural dynamics, the computational cost will be often unaffordable if appropriate dimension reduction techniques are not adopted. The homogenization of the substructure, also termed as the physical replacement, reduces the model scale by simplifying the unnecessary details of the substructure, thus speeding up the dynamic analysis of the whole engine. In this study, we design the physical replacements for the stators of an aero-engine based on the long-wave assumption. These replacements have the same wave features as the stators in long-wave cases while possessing fewer DOFs. The core steps include the analytical description of the stators and the corresponding physical replacement design through two homogenizations. Specifically, we first investigate the wave characteristics of the stators using the wave finite element method and find two dominant waves: flexural and flexural–torsional coupled waves. The first homogenization introduces two analytical Timoshenko beams to describe the two wave motions of the stators. These two analytical beams are subsequently solidified into physical replacements with I, box, and open cross-sections in the second homogenization. The mechanical and geometric parameters are identified through a combination of the static analysis and the genetic algorithm (GA). The search processes are of great efficiency, because all the descriptions are analytical. Results show that the relative errors of the natural frequencies between the pristine stators and the physical replacements associated with the nodal diameters 6–15 are less than 5%.

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Section: Wave Finite Element Methodsmentioning

confidence: 99%

A Homogenization Method for Replacement Stator Models in an Aero-Engine

Wang

Fan

et al. 2022

Aerospace

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“…If the specimen is not damaged after loading, then the amplitude of the inter-layer displacement angle is increased by 1% until the specimen reaches failure. The loading system is shown in Figure 3 [29,30].…”

Section: Test Loading Programmentioning

confidence: 99%

Finite Element Analysis and Parametric Study of Panel Zones in H-Shaped Steel Beam–Column Joints

Li,

Fan,

et al. 2023

Buildings

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This paper investigates the mechanical properties of a traditional welded rigid joint with a weakened panel zone under seismic load. The created finite element model is calibrated by the high-strength steel joint test, carried out by the team in the early stage, and the effectiveness of the finite element method was verified. The finite element software ABAQUS is used to investigate the influence of different joint web thicknesses on the mechanical properties of middle column joints under a low-cyclic-loading test. Supported by a validated numerical model, the ductility, energy dissipation, and other properties of different thicknesses of panel zone column webs are carefully analyzed. The results indicate that the thickness of the web plate in the panel zone significantly affects the location of the joint plastic hinge. The ultimate loading capacity of the joints increased significantly with an increase in the thickness of the webs in the panel zones. Compared with the joint with a weakened panel zone, the hysteresis curve of the strengthened joint is fuller; meanwhile, it cannot alleviate the stress concentration at the weld holes of the web. When the thickness of the joint domain web is too weak, excessive deformation in the joint domain will lead to a decrease in the bearing capacity of the joint, causing damage. The stiffness degradation coefficient of the web-thickened specimen was found to be dominated and controlled by the stiffness of the beam; however, with an increase in the thickness of the web, the stiffness degradation coefficient remained basically unchanged. Finally, a recommendation for weakened beam–column interior joints based on the steel frame panel zone is made, which will lay a foundation for the simulation and analysis of the seismic performance of this structure.

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“…∂R are defined in the works of Hoang et al [17] or Claudet et al [8,16]. Making use of the propagation equation ( 6) to compute the mechanical response of a periodic structure, power of S matrix appears.…”

Section: Transitionmentioning

confidence: 99%

Computation of the Response of Damaged Railway Tracks Subjected to Constant Moving Loads: Numerical Results Obtained With the Wave Finite Element Method and an Analytical Results

Claudet,

Duhamel,

Foret

et al. 2023

Proceedings of the 8th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COM

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Railway tracks are subjected to heavy repeated loads due to the train traffic. These loads can damage the track and especially its supports. To compute the behavior of railway tracks, many authors used a periodicity hypothesis, which is broken by the presence of a damaged zone. Researchers proposed different analytical or numerical methods to compute the dynamics of such structures. Analytical methods permit low numerical cost computations of the track dynamics, but are limited to very simple representations of the track, whereas numerical methods allow the use of much more detailed representations of the track but with higher numerical cost.In most regions, railway tracks can be modeled as periodic structures. Several methods take advantage of this periodicity to limit the numerical cost for the computation of the track dynamics. Among these methods, the Wave Finite Element (WFE) method was initially created to compute free vibrations in periodic structures. This method was improved to compute the dynamic response of periodic structures subjected to any kind of loads. In recent development, the authors adapted the WFE method to compute the response of structures composed of two semi infinite periodic zones linked by a central zone with different mechanical properties.In this paper, the results obtained with an analytical method will be compared to results obtained with the WFE method for the computation of the dynamic responses of different ballastless railway tracks such as healthy and damaged tracks. In these computations, the tracks will be subjected to constant moving loads representing the load applied by a train wheel. In the WFE results, the rail, the supports, and the supporting concrete slabs are represented with a three-dimensional model. A special focus will be made on the state of stress of the different 4362 COMPDYN 2023 9 th ECCOMAS Thematic Conference on Computational Methods in Structural Dynamics and Earthquake Engineering M. Papadrakakis, M. Fragiadakis (eds.

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Wave finite element method for waveguides and periodic structures subjected to arbitrary loads

Cited by 16 publications

References 16 publications

A Homogenization Method for Replacement Stator Models in an Aero-Engine

A Homogenization Method for Replacement Stator Models in an Aero-Engine

Finite Element Analysis and Parametric Study of Panel Zones in H-Shaped Steel Beam–Column Joints

Computation of the Response of Damaged Railway Tracks Subjected to Constant Moving Loads: Numerical Results Obtained With the Wave Finite Element Method and an Analytical Results

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