An Automated Adaptive Finite Element Mesh Generation for Dynamics

Yoon, Chongyul

doi:10.5000/eesk.2019.23.1.083

Cited by 2 publications

(5 citation statements)

References 5 publications

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“…The p-method involves programming complexities not justified by effectiveness and thus this method is seldom used. The r-method and the h-method when used alone has apparent limitations; so in general, the combinations of the r-method and the h-method are used (Yoon, 2019;Zienkiewcz and Zhu, 1987). Computation efficiency requires optimal combination strategy and a reasonable starting mesh.…”

Section: Automation Of Finite Element Analysismentioning

confidence: 99%

“…Error and computation time in a finite element analysis depend on the types of elements used and and the finite element mesh. An adaptive mesh generation scheme attempts to automate mesh generation and the scheme needs an effective error estimation of a given mesh (McFee and Giannacopoulos, 2001;Ohnimus et al, 2001;Yoon, 2019). Exact solutions for general engineering problems are not known and thus estimating error is inherently a difficult problem.…”

Section: Gauss Point Strain Values As Representative Error Estimatesmentioning

confidence: 99%

“…( 2) and (3) do not attempt to accurately compute the error defined in Eq. ( 1) (Jeong and Yoon, 2003;Yoon, 2019).…”

Section: Gauss Point Strain Values As Representative Error Estimatesmentioning

confidence: 99%

“…For dynamic problems analyzed in time domain, the meshes may need to be modified at various time steps; for practical problems, this may be at several hundred or thousand steps. For automation, many meshes need to be self generated and adaptive mesh generation schemes have become an important part in automated and complex dynamic finite element analyses of structures (Yoon, 2019;2023;Zhu et al, 1991).…”

Section: Introductionmentioning

confidence: 99%

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Automated Finite Element Analyses for Structural Integrated Systems

Yoon

2024

J. Comput. Struct. Eng. Inst. Korea

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An automated dynamic structural analysis module stands as a crucial element within a structural integrated mitigation system. This module must deliver prompt real-time responses to enable timely actions, such as evacuation or warnings, in response to the severity posed by the structural system. The finite element method, a widely adopted approximate structural analysis approach globally, owes its popularity in part to its user-friendly nature. However, the computational efficiency and accuracy of results depend on the user-provided finite element mesh, with the number of elements and their quality playing pivotal roles. This paper introduces a computationally efficient adaptive mesh generation scheme that optimally combines the h-method of node movement and the r-method of element division for mesh refinement. Adaptive mesh generation schemes automatically create finite element meshes, and in this case, representative strain values for a given mesh are employed for error estimates. When applied to dynamic problems analyzed in the time domain, meshes need to be modified at each time step, considering a few hundred or thousand steps. The algorithm's specifics are demonstrated through a standard cantilever beam example subjected to a concentrated load at the free end. Additionally, a portal frame example showcases the generation of various robust meshes. These examples illustrate the adaptive algorithm's capability to produce robust meshes, ensuring reasonable accuracy and efficient computing time. Moreover, the study highlights the potential for the scheme's effective application in complex structural dynamic problems, such as those subjected to seismic or erratic wind loads. It also emphasizes its suitability for general nonlinear analysis problems, establishing the versatility and reliability of the proposed adaptive mesh generation scheme.

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Section: Automation Of Finite Element Analysismentioning

confidence: 99%

Section: Gauss Point Strain Values As Representative Error Estimatesmentioning

confidence: 99%

“…( 2) and (3) do not attempt to accurately compute the error defined in Eq. ( 1) (Jeong and Yoon, 2003;Yoon, 2019).…”

Section: Gauss Point Strain Values As Representative Error Estimatesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Automated Finite Element Analyses for Structural Integrated Systems

Yoon

2024

J. Comput. Struct. Eng. Inst. Korea

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“…TetGen is very popular for generating three-dimensional tetrahedral meshes and Delaunay triangulations [15] . Ani3D can also generate unstructured tetrahedral meshes and can be used to generate quasi-optimal meshes [16] . MFEM was designed for finite element methods [17] .…”

Section: Introductionmentioning

confidence: 99%

Method for generating high-quality tetrahedral meshes of geological models by utilizing CGAL

Wang

Mei

2020

MethodsX

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High-quality computational meshes are crucial in the analysis of displacements and stabilities of rock and soil masses. In this paper, we present a method for generating high-quality tetrahedral meshes of geological models to be used in stability analyses of rock and soil masses. The method is implemented by utilizing the Computational Geometry Algorithms Library (CGAL). The input is a geological model consisting of triangulated surfaces, and the output is a high-quality tetrahedral mesh of the geological model. To demonstrate the effectiveness of the presented method, we apply it to generate a series of computational meshes of geological model, and we then analyse the stabilities of the rock and soil slopes on the basis of the generated tetrahedral mesh models. The applications demonstrate the effectiveness and practicability of the present method. A method for generating high-quality tetrahedral meshes of geological models is presented. We evaluate the quality of the tetrahedral mesh of geological model using four metrics. Three applications demonstrate the effectiveness and practicability of the presented method.

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An Automated Adaptive Finite Element Mesh Generation for Dynamics

Cited by 2 publications

References 5 publications

Automated Finite Element Analyses for Structural Integrated Systems

Automated Finite Element Analyses for Structural Integrated Systems

Method for generating high-quality tetrahedral meshes of geological models by utilizing CGAL

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