宫三朋,吴涛,郭嘉良,等. 弛张筛面大挠度非线性弹性变形分析及负载理论研究[J]. 煤炭学报,2024,49(8):3687−3700. DOI: 10.13225/j.cnki.jccs.2024.0163
引用本文: 宫三朋,吴涛,郭嘉良,等. 弛张筛面大挠度非线性弹性变形分析及负载理论研究[J]. 煤炭学报,2024,49(8):3687−3700. DOI: 10.13225/j.cnki.jccs.2024.0163
GONG Sanpeng,WU Tao,GUO Jialiang,et al. Analysis of large deflection nonlinear elastic deformation and load theory research of flip-flow screen panel[J]. Journal of China Coal Society,2024,49(8):3687−3700. DOI: 10.13225/j.cnki.jccs.2024.0163
Citation: GONG Sanpeng,WU Tao,GUO Jialiang,et al. Analysis of large deflection nonlinear elastic deformation and load theory research of flip-flow screen panel[J]. Journal of China Coal Society,2024,49(8):3687−3700. DOI: 10.13225/j.cnki.jccs.2024.0163

弛张筛面大挠度非线性弹性变形分析及负载理论研究

Analysis of large deflection nonlinear elastic deformation and load theory research of flip-flow screen panel

  • 摘要: 针对弛张筛面大挠度变形理论缺少对筛面材料弹性属性的分析及矿物冲击对筛面挠度变化影响规律的研究,考虑弛张筛面材料的可伸缩性,建立了筛面大挠度非线性弹性变形理论模型,并结合外激励正弦位移函数,首次提出了筛面在不同振幅和频率下的时域表达式;搭建了弛张筛面动力学特性测试平台,验证了理论模型在描述筛面挠曲变化过程中的准确性,通过响应面优化法明晰了大挠度弹性变形理论在描述筛面动态特性时的最优振动参数;结合空载筛面大挠度弹性变形理论提出了颗粒与筛面碰撞时筛面挠曲变化理论,求出了颗粒冲击力下筛面不同运动状态时的挠度曲线,揭示了筛面与矿物颗粒碰撞时不同物理参数对碰撞点局部变形程度的影响规律,并利用仿真试验验证了颗粒碰撞筛面挠曲变化理论表达式在不同初始约束下描述筛面动力学特性的准确性。研究结果表明:静态下筛面大挠度弹性变形理论与实验误差率在6%以下,动态下筛面大挠度弹性变形理论与实验误差率随着振幅与频率的增大而减小,且这种变化是非线性的;当振幅为7.33 mm、频率为11.75 Hz时各测点理论值与实验值误差率达到最低,筛面中点的平均误差率低于3%;颗粒入射角、撞击点位置、筛面安装倾角和运行状态是影响筛面撞击局部变形程度的重要因素,理论证明了在较大筛面安装倾角和颗粒入射角以及筛面靠近中点位置运动到最高点时,颗粒与筛面碰撞可获得最大初始动能,且碰撞后筛面挠曲变形理论表述撞击点位置与仿真试验结果的平均误差在4 mm以下。

     

    Abstract: Aiming at the problem that there exist lacks of analysis of the elastic properties of screen panel materials and research on the influence of mineral impact on the deflection changes of screen panel in response to the theory of large deflection deformation of flip-flow screen surface. Considering the scalability of the flip-flow screen panel material, a theoretical model of large deflection nonlinear elastic deformation of the screen panel is established. Combining with the external excitation sine displacement function, the time-domain expression of the screen panel with different amplitudes and frequencies is proposed for the first time. A testing platform for the dynamic characteristics of the flip-flow screen panel is built to verify the accuracy of the theoretical model in describing the deflection change process of the screen panel, and the optimal vibration parameters of the large deflection elastic deformation theory in describing the dynamic characteristics of the screen panel is clarified using the response surface optimization method. Based on the theory of large deflection elastic deformation of unloaded screen panel, a deflection variation theory of screen panel when particles collide with screen panel is proposed, and the deflection curve of screen panel with different motion states under particle impact force is calculated. Then the influence of different physical parameters on the local deformation degree of the collision point between the screen panel and mineral particles is revealed, and the accuracy of the theoretical expression of the deflection change of the screen panel under the collision of particles is verified through simulation experiments in describing the dynamic characteristics of the screen panel using different initial constraints. The research results show that the error rate of the experiments and theory of large deflection elastic deformation of screen panel under dynamic conditions is below 6%. The theoretical and experimental error rates of large deflection elastic deformation of the screen panel under dynamic conditions decrease with the increase of amplitude and frequency, but this change is nonlinear. When the amplitude is 7.33 mm and the frequency is 11.75 Hz, the error rate between the theoretical and experimental values at each measuring point reaches the lowest, and the average error rate at the midpoint of the screen panel is less than 3%. The incident angle of particles, the position of the impact point, the installation angle of the screen panel, and the operating state are important factors that affect the degree of local deformation of the screen panel during impact. Theoretical proof is shown that when the inclination angle and particle incidence angle of the screen surface installation are large, and the screen panel near the midpoint position move to the highest point, the collision between particles and the screen panel can obtain the maximum initial kinetic energy, and there is an average error of less than 4 mm between deflection deformation theory of the screen panel after collision in describing the impact point position and simulation results.

     

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