李峰, 何子建, 张悦, 等. 冲击载荷作用下矩形风窗动态分布特征与破坏机理[J]. 煤炭学报, 2020, 45(9): 3166-3175. DOI: 10.13225/j.cnki.jccs.2020.0584
引用本文: 李峰, 何子建, 张悦, 等. 冲击载荷作用下矩形风窗动态分布特征与破坏机理[J]. 煤炭学报, 2020, 45(9): 3166-3175. DOI: 10.13225/j.cnki.jccs.2020.0584
LI Feng, HE Zijian, ZHANG Yue, et al. Dynamic response characteristics and failure mechanism of rectangular wind window under impact load[J]. Journal of China Coal Society, 2020, 45(9): 3166-3175. DOI: 10.13225/j.cnki.jccs.2020.0584
Citation: LI Feng, HE Zijian, ZHANG Yue, et al. Dynamic response characteristics and failure mechanism of rectangular wind window under impact load[J]. Journal of China Coal Society, 2020, 45(9): 3166-3175. DOI: 10.13225/j.cnki.jccs.2020.0584

冲击载荷作用下矩形风窗动态分布特征与破坏机理

Dynamic response characteristics and failure mechanism of rectangular wind window under impact load

  • 摘要: 瓦斯(煤尘)爆炸冲击波传播过程中在固定构筑物处会出现多个波峰震荡,有着显著的超压与振荡现象,对矿井通风设施破坏效应明显,但具体的破坏过程和机理尚不清楚。基于矩形薄板模型,建立了矩形风窗自由振动的Hamilton体系对偶方程与四边固支(C-C-C-C)矩形风窗振动的频率方程及其振型分析函数;基于振型函数的正交性与杜哈梅积分,得出了冲击载荷作用下矩形风窗振动的挠度动态分布方程。基于牛顿迭代法与MATLAB软件,得出了冲击载荷作用下矩形风窗振动模态主要由1阶、5阶、6阶主振型构成,并分别得出了其振动的固有频率;分析了应力、应变、弯矩、横向剪力、最大主应力与主应变动态分布特征,主要分布在四边中点及其附近区域、矩形风窗中心区域、矩形风窗四角附近区域。基于第三强度理论,得出了冲击载荷作用下四边固支矩形风窗发生损伤破坏的起始位置为四边中点区域,然后是矩形风窗中心区域;发展趋势是主要沿着矩形风窗长轴的中心区域破坏,其次是沿着短轴的中心区域破坏;由1阶主振型(主频)可推断出矩形风窗的起始破坏位置,由5阶、6阶主振型可以判断破坏的发展方向与趋势。基于Ls-DYNA软件,采用PLASTIC_ KINEMATIC材料模型,模拟分析了四边固支矩形风窗在冲击载荷作用下的动态破坏过程,验证了理论研究结果的正确性,初步揭示了冲击载荷作用下矩形风窗的破坏机理。

     

    Abstract: In the process of shock wave propagation of gas and coal dust explosion,there will be many oscillating wave crest at the fixed structures with significant overpressure and oscillation phenomenon,which have obvious damage effect on the ventilation facilities,but the dynamic damage process and mechanism are not clear. Based on the rectangular thin plate model,the dual equation of Hamilton system and the frequency equation of rectangular wind window (C-C-C-C) and its mode analysis function are established. According to the orthogonality of the vibration function and Duhame integral,the deflection dynamic distribution is obtained. Based on the Newton iterative method and MATLAB software,the vibration modes of rectangular wind window under impact load are mainly composed of the first,fifth and sixth order main modes,and the natural frequencies are obtained respectively. The dynamic distribution characteristics of stress,strain,bending moment,transverse shear force,maximum principal stress and principal strain are analyzed,which are mainly distributed in the middle of four sides and its vicinity,the center of rectangular wind window and the four corners of rectangular wind window. According to the third strength theory,it is concluded that under the impact load,the starting position of the damage of the four side fixed rectangular wind window is the central area of the four sides,and then the central area of the rectangular wind window; the development trend is mainly along the central area of the long axis of the rectangular wind window,and then along the central area of the short axis. The initial failure position of the rectangular wind window can be inferred from the first order main mode (main frequency),and the development direction and trend of the failure can be judged from the fifth and sixth order main modes. Based on LSDYNA software and PLASTIC_ KINEMATIC model,the dynamic failure process of rectangular wind window with four sides fixed is simulated and analyzed under impact load,the correctness of theoretical research results is verified,and the failure mechanism of rectangular wind window is preliminarily revealed under impact load.

     

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