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821
Research on the Performance Optimization of Turbulent Self-Noise Suppression and Sound Transmission of Acoustic Windows Made from Functionally Graded Material
Published 2023-10-01“…The accuracy of the theory is verified by the finite element results of COMSOL Multiphysics. Utilizing the genetic algorithm (GA) and taking the monotonic gradient as the constraint condition, the internal gradient optimization method of FGM acoustic windows obtains the optimization variables in the Bernstein polynomial when the optimization objective is minimized by iterating the optimization variables in the deviation function represented by the Bernstein polynomial that is introduced in the gradient function. …”
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822
$\phi $-FEM for the heat equation: optimal convergence on unfitted meshes in space
Published 2023-12-01“…Thanks to a finite element method, we solve numerically parabolic partial differential equations on complex domains by avoiding the mesh generation, using a regular background mesh, not fitting the domain and its real boundary exactly. …”
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823
Deformation and Mechanical Behaviors of SCSF and CCCF Rectangular Thin Plates Loaded by Hydrostatic Pressure
Published 2019-01-01“…The analytic solution in this paper is validated by the finite element method. Finally, the influence of aspect ratio λ and Poisson’s ratio μ on the deformation and mechanical behaviors of the rectangle thin plates is analyzed in this paper. …”
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824
A FEM-Experimental Approach for the Development of a Conceptual Linear Actuator Based on Tendril’s Free Coiling
Published 2017-01-01“…In this work, with the aim of understanding the fundamentals of the mechanics behind the free coiling, a reverse-engineering approach based on the finite element method was firstly applied. The model consisted of an elongated cylinder with suitable material properties, boundary, and loading conditions, in order to reproduce the kinematics of the tendril. …”
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825
Vibroacoustic Response of a Disc-Type Underwater Glider During Its Entry into Water
Published 2025-03-01“…The structural characteristics of thin-wall shells are more susceptible to vibrations from internal mechanical components; this noise emission becomes more complex with the presence of water surfaces. The finite element method (FEM) is introduced to discuss the dynamic performance of cylindrical shells with different lengths. …”
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826
Optimizing droplet coalescence dynamics in microchannels: A comprehensive study using response surface methodology and machine learning algorithms
Published 2025-01-01“…In this study, we thoroughly investigate the impact of these control parameters on droplet coalescence dynamics within a sudden expansion microchannel using two distinct numerical methods. Initially, we employ the boundary element method to solve the Brinkman integral equation, providing detailed insights into the underlying physics of droplet coalescence. …”
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827
Impact of using corrugated wall and nanofluid on the performance improvement of thermoelectric generator mounted channels
Published 2025-02-01“…The upper and the lower channels carry hot and cold water-based single-walled carbon nanotube nanofluid (SWCNT), respectively. Finite element method, FEM, is chosen to tackle the 3D steady-state equations governing the TEG with associated boundary conditions. …”
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828
Analysis of Damage Mechanism of Tunnel Lining Structure under the Coupling Action of Active Fault
Published 2021-01-01“…To reveal the failure mechanism of tunnel structure under active fault movement, based on the pseudostatic elastoplastic finite element method, the failure modes of the tunnel lining are studied under different movement ratios of strike-slip faults and thrust faults with 45° dip angle by using numerical simulation. …”
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829
Natural convection in a square Cavity: Effects of Rayleigh and Prandtl numbers on heat transfer and flow patterns
Published 2025-09-01“…The equations are solved using the finite element method (FEM) in COMSOL Multiphysics®, with mesh convergence tests ensuring second-order accuracy and grid independence. …”
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830
Comparative CFD case study on forced convection: Analysis of constant vs variable air properties in channel flow
Published 2025-03-01“…The heat sources are placed at distances L1 = 3.5 m and L2 = 1.5 m on the bottom surface. The finite element method is used to solve momentum-energy equations using Computational fluid dynamics (CFD) software, under constant and variable air properties. …”
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831
A mathematical model for active contraction in healthy and failing myocytes and left ventricles.
Published 2017-01-01“…The multi-scale LV model was solved using an in-house developed hybrid immersed boundary method with finite element extension. The predictions of the healthy LV model agreed well with the clinical measurements and other studies, and likewise, the results in the failing states were also consistent with clinical observations. …”
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832
Mechanical Behavior of Buried Pipelines Subjected to Faults
Published 2021-01-01“…In this research, an equivalent spring model was established to simulate the small deformation section of the pipeline far away from the fault and the effect of fault displacements, pipeline diameters, wall thicknesses, buried depths, soil materials, and spring constraints on the mechanical properties of pipelines was analyzed. Based on the finite element model using ABAQUS software, the results of the shell model with fixed boundary at both ends were compared; in addition, the dynamic effect of pipelines was investigated. …”
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833
Analysis of linear capillary gravity wave scattering by a submerged plate over an asymmetrical trench
Published 2025-06-01“…The mathematical problem is structured in terms of integral equations which are operated by using two different numerical approaches, The first one is the Boundary element method and the second one is the multi-term Galerkin Approximation technique where the basis functions are chosen in terms of ultraspherical Gegenbauer polynomials and Chebychev polynomials for the different singularities at the edge of the trench and the barrier respectively. …”
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834
Design and test of a quasi-zero stiffness metastructure based on the preshaped beams for low-frequency vibration isolation
Published 2025-05-01“…The matching mechanism between the arc segment and the cosine-shaped segment is analyzed through a static mechanical parametric analysis using the finite element method, while metastructures fabricated using 3D printing techniques are employed to experimentally validate the conceptual design. …”
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835
Formation of Probing Signals of Piezoelectric Transducers for Ultrasonic Testing
Published 2023-03-01“…To determine the boundaries of the preferred application of one of the methods in comparison with the other, a mathematical apparatus is used based on the use of integral calculus, as well as numerical calculation methods. …”
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836
Numerical Low-Back Booster Analysis on a 6-Year-Old Infant during a Frontal Crash Test
Published 2018-01-01“…The vehicle seats and the passive safety systems were modelled in CAD (computer aided design) software. Then, the elements were analysed by the finite element method (FEM) in LS-DYNA® software. …”
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837
Stability analysis of surrounding rock of underground reservoir of pumped-storage hrdropower based on mine pit development
Published 2025-05-01“…Based on this, a mathematical model of groundwater seepage and geostress that takes into account the fluid-soild coupling is established, and a numerical model is constructed by using the COMSOL Multiphysics software and finite-element method, and the three-dimensional geological model and two-dimensional sectional model are combined to carry out the stability analysis of the surrounding rocks in underground reservoir of the proposed pumped-storage hydropower in Shidangshan. …”
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838
Field Investigation and Numerical Modeling for the Seismic Assessment of the Castle of Lanjarón, Spain
Published 2025-02-01“…Non-destructive tests (NDTs) were employed to characterize the properties of the masonry, using both mechanical and wave-based methods. Dynamic identification was performed to determine dynamic and modal properties of the structure, which were used to develop and calibrate a three-dimensional (3D) finite element model (FEM) of the west wall, based on homogenized masonry material. …”
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839
Evaluation of 3D Nonlinear Earthquake Behaviour of the Ilısu CFR Dam under Far-Fault Ground Motions
Published 2019-01-01“…These boundary conditions are free-field and quiet boundary conditions. …”
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840
Free Vibration of a Perfectly Clamped-Free Beam with Stepwise Eccentric Distributed Masses
Published 2016-01-01“…Firstly there is contrived influence of a mass, located on a given position along the beam, upon the modal energies, via an energy analysis method. Secondly, the mass participation coefficient is defined as a function of the mass location and the bending vibration mode number. …”
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