金属学报  1980, Vol. 16 Issue (3): 263-275

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冲击凿入效率的波动理论研究

赵统武

长沙矿冶研究所

A STUDY OF THE EFFICIENCY OF PERCUSSIVE PENETRATION BY WAVE THEORY

Zhao Tongwu Changsha Institute of Mining and Metallurgy Research

赵统武. 冲击凿入效率的波动理论研究[J]. 金属学报, 1980, 16(3): 263-275.
. A STUDY OF THE EFFICIENCY OF PERCUSSIVE PENETRATION BY WAVE THEORY[J]. Acta Metall Sin, 1980, 16(3): 263-275.

摘要 参考文献 相关文章 Metrics 全文: PDF(840 KB)   摘要: 冲击凿入效率(施于岩石破碎的能量对冲击能量之比)是评价和设计冲击凿入系统的重要参量.本文运用一维应力波理论导出了任意入射应力波形的凿入函数;对任一给定的单圆柱和双圆柱活塞-长杆硬岩凿入系统,其各阶凿深系数(u~*k)可示为波形向量(ψ_k)的线性变换;由矩阵或递推公式表达为: (u~*_k)=(α_(kp))(ψ_k)或 u~*_k=u~*_k-1~(e-λ+ψ_k)则凿入效率: η=4θ(1-e~(-λ))~2(maxu~*_k)~2式中 (α_(kp))——系统特性方阵; (λ,θ)——系统常数. 用电子计算机计算了活塞柄头长度比j=(4,5)(工程常用值)两种情况下具有不同断面特性的双圆柱活塞的凿入效率(单圆柱活塞可视为双圆柱活塞的特例). 对任意确定的入射应力波形,都可用足够小周期△t的阶梯函数来逼近,所以这个方法可以推广到任意入射应力波形凿入效率的计算. Abstract：Using uni-dimentional stress wave theory, the penetration function of arbitra-rily incident stress has been derived. For any given long rod-hard rock penetrationsystem with single or double cylindrical piston, the coefficient of the penetrationdepth of each step (u_k) is a linear transform of a pulse-shape vector (ψ_k), andcan be expressed by means of matric or recurrent formula as: (u_k)=(α_(kp))(ψ_k) oru_k=u~(k-1)e~(-λ)+ψ_k, therefore, the penetration efficiency isη=4θ(1-e~(-λ))~2 (max u_k)~2where (α_(kp)) is the characteristic square matrix of system: λ and θ are constants. Attempts have been made to compute the penetrating efficiency of the doublecylindrical piston with different cross-section characteristics by a digital computer,with the shake to head length ratio j=4 or 5, which is the normal value forengineering design. The single cylindrical piston may be regarded as a particularcase of the double one. Owing to the fact that all arbitrary specific incident stress pulse can be ap-proached by a step function with a sufficiently short period Δt, this method maybe applicable to the calculation of the efficiency of penetration with arbitrarystress pulse. 收稿日期: 1980-03-18      服务 把本文推荐给朋友 加入引用管理器 E-mail Alert RSS 作者相关文章 赵统武 44.8K 链接本文: https://www.ams.org.cn/CN/      或      https://www.ams.org.cn/CN/Y1980/V16/I3/263 [1] Simon, R., Int. J. Rock Mech. Mining Sci., 1 (1964) , 397． [2] Hustrulid, W. A. and Fairhurst, C., Int. J. Rock Mech. Mining Sci., 8 (1971) , 311, 9 (1972) , 417． [3] Lundberg, B., Int. J. Rock Mech. Mining Sci., 10 (1973) , 401． [4] 徐小荷,金属学报,6(1963) ,1． [5] Fischer, H. C., Appl. Sci. Res., A8 (1959) , 105, 278． [6] Arndt, F. K., Glueckauf, 96 (1960) , 1516． [7] Fairhurst, C., Mine Quarry Eng., 27 (1961) , №3, 122; №4, 169． No related articles found! Viewed Full text Abstract Cited   Shared      Discussed