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Analytical solutions of hard roof's bending moment,deflection and energy under the front abutment pressure before periodic weighting 被引量:9

Analytical solutions of hard roof's bending moment,deflection and energy under the front abutment pressure before periodic weighting
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摘要 The distribution of front abutment pressure is closely related to the force,deformation and energy distribution of hard roof before periodic weighting. So it is necessary to carry out research on the relationship between them. According to front abutment pressure distribution feature,using the location of peak front abutment pressure as the dividing point,coal seam is divided into two parts along the direction of mining: the yield zone that is the area between the faceline and the point where the maximum front abutment pressure occurs,and the elastic zone that is the part before the point of peak front abutment pressure. The proposed mechanical model of unit width hard roof at the panel center before periodic weighting consists of five parts including the yield zone. All parameters of the deflection equations for each of the five parts that satisfy the continuity conditions and natural boundary conditions are obtained by using the Matlab software. The continuous curves of front abutment pressure,deflection,bending moment and bending strain energy density distribution of hard roof are obtained by iterative approximation method,and the relationship between the yield zone width and the above curves are analyzed in detailed. The distribution of front abutment pressure is closely related to the force, deformation and energy distri- bution of hard roof before periodic weighting. So it is necessary to carry out research on the relationship between them. According to front abutment pressure distribution feature, using the location of peak front abutment pressure as the dividing point, coal seam is divided into two parts along the direction of min- ing: the yield zone that is the area between the faceline and the point where the maximum front abut- ment pressure occurs, and the elastic zone that is the part before the point of peak front abutment pressure. The proposed mechanical model of unit width hard roof at the panel center before periodic weighting consists of five parts including the yield zone. All parameters of the deflection equations for each of the five parts that satisfy the continuity conditions and natural boundary conditions are obtained by using the Matlab software. The continuous curves of front abutment pressure, deflection, bending moment and bending strain energy density distribution of hard roof are obtained by iterative approxima- tion method, and the relationship between the yield zone width and the above curves are analyzed in detailed.
出处 《International Journal of Mining Science and Technology》 SCIE EI CSCD 2016年第1期175-181,共7页 矿业科学技术学报(英文版)
基金 supported jointly by the National Basic Research Program of China (No.2015CB251603) the National Natural Science of China (No.51374197) the Independent Project of State Key Laboratory of Coal Resources and Safe Mining (CUMT) of China (No.SKLCRSM12X06)
关键词 Periodic weightingFront abutment pressureYield zoneBending momentDeflectionBending strain energy 支承压力分布 坚硬顶板 能量分布 挠度方程 解析解 Matlab软件 弯矩 超前支承压力
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