김경종
86 lines
4.0 KiB
Markdown
86 lines
4.0 KiB
Markdown
---
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type: source
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title: "Dynamic Buckling Analysis of Shell Structures using Finite Element Method"
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source_type: thesis
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author: "Hee Jun Lee"
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institution: "Inha University"
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department: "Aerospace Engineering"
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date_published: 2012-02
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created: 2026-05-28
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updated: 2026-05-28
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address: c-000032
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aliases:
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- "유한요소해석법을 이용한 쉘 구조물의 동적 좌굴 해석"
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- Dynamic Buckling Analysis of Shell Structures using FEM
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tags:
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- source
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- finite-element-method
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- shell-elements
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- dynamic-buckling
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- nonlinear-analysis
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status: current
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confidence: high
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raw_path: ".raw/유한요소해석법을이용한쉘구조물의동적좌굴해석/"
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source_files:
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markdown_files: 8
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image_files: 220
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related:
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- "[[Hee Jun Lee]]"
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- "[[Inha University]]"
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- "[[Dynamic Buckling Analysis]]"
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- "[[Dynamic Instability Region]]"
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- "[[Geometric Stiffness Matrix]]"
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- "[[MITC4 Shell Element]]"
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- "[[BLZPACK]]"
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- "[[ABAQUS]]"
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---
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# Dynamic Buckling Analysis of Shell Structures using Finite Element Method
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## Summary
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This 2012 master's thesis develops and verifies a finite element program for dynamic buckling analysis of shell structures under axial dynamic compressive loading. The work uses the [[MITC4 Shell Element]], a [[Total Lagrangian Shell Formulation]] for geometric nonlinearity, a lumped mass matrix, and eigenvalue solvers for vibration, static buckling, and dynamic buckling checks.
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The local source is a converted Markdown/image extraction: eight Markdown files and 220 extracted images under `.raw/유한요소해석법을이용한쉘구조물의동적좌굴해석/`.
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## Coverage Map
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| Section | Topic |
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|---|---|
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| 1 | Motivation for dynamic buckling analysis of shells under axial dynamic compression |
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| 2.1 | [[MITC4 Shell Element]] kinematics and transverse shear interpolation |
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| 2.2 | Geometric nonlinear formulation, finite rotation, constitutive matrix, mass matrix, and 6-DOF shell treatment |
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| 2.3 | Static buckling, [[Dynamic Buckling Analysis]], and beam dynamic buckling theory |
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| 3.1 | Linear static verification: patch tests, pinched cylinder, hemispherical shell |
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| 3.2 | Geometric nonlinear verification against [[ABAQUS]] |
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| 3.3 | Static buckling verification: rectangular plate, cylindrical shell, stiffened square plate |
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| 3.4 | Dynamic buckling verification: beam, plate, and stiffened plate instability regions |
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## Key Takeaways
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- Dynamic buckling is treated as a parametric resonance problem caused by axial dynamic compressive loading.
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- The thesis implements a shell finite element program rather than relying only on static buckling capability from commercial tools.
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- [[Geometric Stiffness Matrix]] terms are central because static and dynamic buckling analyses are built from eigenvalue problems involving stiffness, geometric stiffness, and mass.
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- The program is verified progressively: patch tests, static response benchmarks, geometric nonlinear response, static buckling eigenvalues, and dynamic instability regions.
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- Beam dynamic buckling shows the expected trend: with no static load, the instability frequency is around twice the natural frequency, and increasing dynamic load widens the instability region.
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- Plate and stiffened plate dynamic buckling comparisons show similar trends to experimental results, while stiffened plate discrepancies are attributed partly to imperfections in real structures.
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## Entities Mentioned
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- [[Hee Jun Lee]] - thesis author.
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- [[Inha University]] - degree-granting institution.
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- [[BLZPACK]] - Block Lanczos eigenvalue solver used in the implementation.
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- [[ABAQUS]] - commercial finite element software used for comparison.
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## Concepts Introduced
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- [[Dynamic Buckling Analysis]]
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- [[Dynamic Instability Region]]
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- [[Geometric Stiffness Matrix]]
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## Source Notes
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- Source path: `.raw/유한요소해석법을이용한쉘구조물의동적좌굴해석/`
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- Composite source hash recorded in `.raw/.manifest.json`.
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- The converted Markdown includes OCR and encoding artifacts, but title, abstract, section structure, tables, and key Korean body text are usable.
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