Coupling Analysis of Vibration and Fatigue Crack Growth for the Flexible Connecting Rod with the Breathing Crack in a Crank-Slider Mechanism
碩士 === 中原大學 === 機械工程研究所 === 92 === Based on Timoshenko theories, the vibration and fatigue analyses are combined to discuss the vibration behavior of a cracked rod of crank-slider mechanism with the crack growth in this study. The natural frequency is changed when the crack is growing. Therefore the...
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ndltd-TW-092CYCU54890682018-06-25T06:06:11Z http://ndltd.ncl.edu.tw/handle/p38thk Coupling Analysis of Vibration and Fatigue Crack Growth for the Flexible Connecting Rod with the Breathing Crack in a Crank-Slider Mechanism 含呼吸式裂紋之曲柄滑塊機構橈性連桿的振動與疲勞裂紋成長耦合分析 Chin-Kun Yeh 葉晉坤 碩士 中原大學 機械工程研究所 92 Based on Timoshenko theories, the vibration and fatigue analyses are combined to discuss the vibration behavior of a cracked rod of crank-slider mechanism with the crack growth in this study. The natural frequency is changed when the crack is growing. Therefore the amplitude of vibration is affected by the loading frequency. The model of breathing crack is applied to simulate the opening and closure crack, which affects the behavior of vibration. The analysis of vibration and fatigue for a cracked rod are coupled in this study. The interaction between vibration and fatigue are determined and discussed. At first, the connecting rod is assumed as Timoshenko’s beam, then the equations of motion and boundary conditions are derived by Hamilton’s principle, that the moving boundary conditions of connecting rod at one end of slider are considered. Moreover, using the Galerkin method with mode shape function that satisfies the boundary conditions, the equations of motion are reduced to Mathieu equations. And then, Runge-Kutta method is used to determine the transient amplitude for breathing crack model. The modified Forman equation is used to determine the rate of fatigue crack growth, and the crack depth is corrected cycle by cycle. When the crack depth ratio increases, the amplitude increases. Yan-Shin Shih 施延欣 2004 學位論文 ; thesis 118 en_US |
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碩士 === 中原大學 === 機械工程研究所 === 92 === Based on Timoshenko theories, the vibration and fatigue analyses are combined to discuss the vibration behavior of a cracked rod of crank-slider mechanism with the crack growth in this study. The natural frequency is changed when the crack is growing. Therefore the amplitude of vibration is affected by the loading frequency. The model of breathing crack is applied to simulate the opening and closure crack, which affects the behavior of vibration.
The analysis of vibration and fatigue for a cracked rod are coupled in this study. The interaction between vibration and fatigue are determined and discussed. At first, the connecting rod is assumed as Timoshenko’s beam, then the equations of motion and boundary conditions are derived by Hamilton’s principle, that the moving boundary conditions of connecting rod at one end of slider are considered. Moreover, using the Galerkin method with mode shape function that satisfies the boundary conditions, the equations of motion are reduced to Mathieu equations. And then, Runge-Kutta method is used to determine the transient amplitude for breathing crack model. The modified Forman equation is used to determine the rate of fatigue crack growth, and the crack depth is corrected cycle by cycle. When the crack depth ratio increases, the amplitude increases.
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author2 |
Yan-Shin Shih |
author_facet |
Yan-Shin Shih Chin-Kun Yeh 葉晉坤 |
author |
Chin-Kun Yeh 葉晉坤 |
spellingShingle |
Chin-Kun Yeh 葉晉坤 Coupling Analysis of Vibration and Fatigue Crack Growth for the Flexible Connecting Rod with the Breathing Crack in a Crank-Slider Mechanism |
author_sort |
Chin-Kun Yeh |
title |
Coupling Analysis of Vibration and Fatigue Crack Growth for the Flexible Connecting Rod with the Breathing Crack in a Crank-Slider Mechanism |
title_short |
Coupling Analysis of Vibration and Fatigue Crack Growth for the Flexible Connecting Rod with the Breathing Crack in a Crank-Slider Mechanism |
title_full |
Coupling Analysis of Vibration and Fatigue Crack Growth for the Flexible Connecting Rod with the Breathing Crack in a Crank-Slider Mechanism |
title_fullStr |
Coupling Analysis of Vibration and Fatigue Crack Growth for the Flexible Connecting Rod with the Breathing Crack in a Crank-Slider Mechanism |
title_full_unstemmed |
Coupling Analysis of Vibration and Fatigue Crack Growth for the Flexible Connecting Rod with the Breathing Crack in a Crank-Slider Mechanism |
title_sort |
coupling analysis of vibration and fatigue crack growth for the flexible connecting rod with the breathing crack in a crank-slider mechanism |
publishDate |
2004 |
url |
http://ndltd.ncl.edu.tw/handle/p38thk |
work_keys_str_mv |
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