機能的なグラデント材料による平面の亀裂を含む板のダイナミック特性
Gen Liu1, An Xi2,3, Yunchao Qi4
1School of Advanced Manufacturing Technology, Guangdong Mechanical and Electrical Polytechnic, Guangzhou 510550, China.
Materials (Basel, Switzerland)
|August 28, 2025
まとめ
この研究では,機能的に分類された材料 (FGM) の板に亀裂があり,亀裂の長さと材料の性質が振動周波数とモードにどのように影響するか明らかにしています. クラークは振動パターンを変化させ,FGMプレートの非対称的な移転を引き起こします.
科学分野:
- 固体力学
- 材料科学
- 振動分析
背景:
- 機能的にグレードされた材料 (FGM) は,厚さによって構成が変化することで調節可能な性質を提供します.
- 破裂は構造の整合性と 材料の動的動作に大きく影響します
- 材料の性能や故障を予測するには 振動特性を理解することが重要です
研究 の 目的:
- 埋め込まれた平面的な亀裂を含む機能的に分類された材料 (FGM) の振動モデルを開発する.
- FGMプレートの振動特性に対するクラークパラメータと材料のグラデント分布の影響を分析する.
- 振動中の材料のグラデーションによって誘発される非対称的な移転行動を調査する.
主な方法:
- 薄板理論とフォン・カルマン幾何学的非線形張力仮説の適用.
- 異なる物質領域の運動エネルギーと潜在エネルギーの導出.
- 自然な周波数とモードを決定するために,移動フィールド試験関数を持つリッツ法を使用します.
- 埋め込まれた平面的な亀裂を持つ指数関数的に分類されたFGMプレートの分析.
主要な成果:
- 自然な周波数は 亀裂の長さに伴って減少します
- 裂け目の存在は,ノードラインのパターンとモードの対称性を変更します.
- 自由な振動の間,上部と下部の亀裂表面の間に相対的な移動が発生します.
- 材料のグラデント係数は,厚さ方向非対称性と非均等な位移を誘導する.
結論:
- クラック特性と材料のグラデーション係数は,FGMプレートの振動に影響を与える重要な要因です.
- クラークの存在は,ダイナミックな応答と振動モードを大幅に変更します.
- FGM板の厚さに関する材料の非対称性は,特に亀裂の近くで複雑な移転パターンを引き起こします.
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