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非整平自由设站在轨道快速测量中的应用 被引量:5
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作者 马文静 《铁道勘察》 2018年第4期1-5,共5页
为实现轨道的快速测量,基于罗德里格矩阵及轨道控制网(CPⅢ)建立智能型全站仪非整平自由设站的数学模型,给出了站心三维坐标及其精度评定的计算公式。在运营无砟轨道线路的直线、缓和曲线、左偏圆曲线、右偏圆曲线、竖曲线、上坡段、下... 为实现轨道的快速测量,基于罗德里格矩阵及轨道控制网(CPⅢ)建立智能型全站仪非整平自由设站的数学模型,给出了站心三维坐标及其精度评定的计算公式。在运营无砟轨道线路的直线、缓和曲线、左偏圆曲线、右偏圆曲线、竖曲线、上坡段、下坡段等不同测试环境下开展试验,通过对获取的124站非整平自由设站数据的解算,得到站心三维坐标和每个坐标分量的中误差以及CPⅢ控制点的坐标残差。数据分析结果表明:该方法能够适用于各种倾斜状态下非整平自由设站的测量数据解算,解算过程快速、稳定;99%以上的CPⅢ控制点坐标分量的残差小于2 mm,并可基于残差进行控制点稳定性分析;站心三维坐标分量的中误差均小于0.7 mm,能够满足高精度轨道测量的应用要求。 展开更多
关键词 自由设站 非整平 轨道测量 罗德里格矩阵 最小二乘法
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ELECTROCHEMICAL GRINDING OF UNPARALLEL-RULED SURFACE 被引量:2
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作者 干为民 褚辉生 +1 位作者 苏纯 徐家文 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI 2005年第3期216-223,共8页
To solve the problem of finishing the twist blade surface of an impeller, the five-axis numerically controlled electrochemical contour evolution grinding (NC-ECCEG) is studied. Over-cutting errors of NC-ECCEG of the... To solve the problem of finishing the twist blade surface of an impeller, the five-axis numerically controlled electrochemical contour evolution grinding (NC-ECCEG) is studied. Over-cutting errors of NC-ECCEG of the twist blade surface generated by parallel lines are analyzed. The formula for calculating the over-cutting error is deduced. The method for eliminating the over-cutting error is used in the conical grinding wheel and the combined five-axis linkage NC-ECCEG system. The structure and the movement of the NC-ECCEG machine tool,the combined multi-axis NC system and its linkage control technology are introduced. Further, the mathematical model of the NC-ECCEG unparallel-ruled surface is established. An auto-programming system on five-axis NGECCEG is developed to grind the impeller. The machining efficiency of NC-ECCEG increases more than 12 times than that of manual polishing operations. 展开更多
关键词 unparallel-ruled surface electrochemical grinding integral wheel ERROR
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Modal identification to non-stationary random excitation based on wavelet transform and co-integration theory
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作者 杜秀丽 汪凤泉 《Journal of Southeast University(English Edition)》 EI CAS 2007年第4期583-587,共5页
A kind of method of modal identification subject to ambient excitation is presented. A new synthesis stationary signal based on structural response wavelet transform and wavelet coefficient processes co-integration is... A kind of method of modal identification subject to ambient excitation is presented. A new synthesis stationary signal based on structural response wavelet transform and wavelet coefficient processes co-integration is obtained. The new signal instead of structural response is used in identifying the modal parameters of a non- stationary system, combined with the method of modal identification under stationary random excitation-the NExT method and the adjusted continuous least square method. The numerical results show that the method can eliminate the non-stationarity of structural response subject to non-stationary random excitation to a great extent, and is highly precise and robust. 展开更多
关键词 modal identification wavelet transform non-stationary random excitation CO-INTEGRATION NExT method
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Global Existence of Positive Solutions for Volterra Integral Equations
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作者 王术 万春林 张锟 《Chinese Quarterly Journal of Mathematics》 CSCD 1995年第3期97-101,共5页
This paper considers the global existence and nonexistence of positive solutions for the following volterra integral equations wbers Matrix B is called a positive definite one, if all the principal minors have positi... This paper considers the global existence and nonexistence of positive solutions for the following volterra integral equations wbers Matrix B is called a positive definite one, if all the principal minors have positive detechants. By considering the existence of positivve solutions for algebra equations, it is proved that if I-A is a positive definite matrix,where I is an identity matrix, then (I) bas global positive solution 1 Otherwise, (I)has no continous nbndeereasing positive solution. 展开更多
关键词 volterra inegral equations global solution positive solution of algebra equations
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A Novel Resource Allocation Algorithm based on Downlink and Uplink Decouple Access Scheme in Heterogeneous Networks 被引量:4
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作者 Laiwei Jiang Xuejun Sha +1 位作者 Xuanli Wu Naitong Zhang 《China Communications》 SCIE CSCD 2016年第6期22-31,共10页
Traditional cellular network requires that a user equipment(UE) should associate to the same base station(BS) in both the downlink(DL) and the uplink(UL). Based on dual connectivity(DC) introduced in LTE-Advanced R12,... Traditional cellular network requires that a user equipment(UE) should associate to the same base station(BS) in both the downlink(DL) and the uplink(UL). Based on dual connectivity(DC) introduced in LTE-Advanced R12, DL/UL decouple access scheme has been proposed, which is especially suitable for heterogeneous networks(Het Nets). This paper is the pioneer to take the DL/UL decouple access scheme into consideration and develop a novel resource allocation algorithm in a two-tier Het Net to improve the total system throughput in the UL and ease the load imbalance between macro base stations(MBSs) and pico base stations(PBSs). A model is formulated as a nonlinear integer programming, and the proposed algorithm is a sub-optimal algorithm based on the graph theory. First, an undirected and weighted interference graph is obtained. Next, the users are grouped to let users with large mutual interferences to be assigned to different clusters. Then, the users in different clusters are allocated to different resource blocks(RBs) by using the Hungarian algorithm. Simulation results show that the proposed algorithm can provide great promotions for both the total system throughput and the average cell edge user throughput and successfully ease the load imbalance between MBSs and PBSs. 展开更多
关键词 LTE-ADVANCED downlink and up-link decouple access scheme heterogeneous networks resource allocation graph theory
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Small prime solutions to cubic equations 被引量:2
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作者 ZHAO LiLu 《Science China Mathematics》 SCIE CSCD 2016年第10期1909-1918,共10页
Let a_1,..., a_9 be nonzero integers not of the same sign, and let b be an integer. Suppose that a_1,..., a_9 are pairwise coprime and a_1 + + a_9 ≡ b(mod 2). We apply the p-adic method of Davenport to find an explic... Let a_1,..., a_9 be nonzero integers not of the same sign, and let b be an integer. Suppose that a_1,..., a_9 are pairwise coprime and a_1 + + a_9 ≡ b(mod 2). We apply the p-adic method of Davenport to find an explicit P = P(a_1,..., a_9, n) such that the cubic equation a_1p_1~3+ + a9p_9~3= b is solvable with p_j 《 P for all 1 ≤ j ≤ 9. It is proved that one can take P = max{|a_1|,..., |a_9|}~c+ |b|^(1/3) with c = 2. This improves upon the earlier result with c = 14 due to Liu(2013). 展开更多
关键词 circle method prime number cubic equation
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