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纯方位系统定位与跟踪的本载体最优轨线方程及其最优轨线 被引量:13
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作者 董志荣 《指挥控制与仿真》 2007年第1期7-15,共9页
给出了纯方位系统在目标任意变速变向运动或不动情况下,目标定位与跟踪中的本载体确定性控制最优和次优轨线方程以及其最优轨线。这一结果是完全用解析方法得到的。
关键词 潜艇 纯方位系统 最优轨线方程 最优线
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时间最优控制轨线方程工程方法的研究
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作者 郝立军 《河北轻化工学院学报》 1995年第2期44-50,共7页
介绍了在时间最优控制系统设计中,用直线方程近似代替控制轨线曲线方程的具体方法,并且由实验证明该方程不仅能满足工程需要,方便可行,而且与其他控制规律相比,节约能耗,缩短了控制时间。
关键词 时间最优控制 轨线方程 最优控制
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一类相轨线方程
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作者 王五生 《河池师专学报》 1999年第4期5-8,共4页
本文论述了一类二阶系统的相轨线方程满足一定条件时,对应的曲线是封闭曲线。给出根据相轨线方程判断微分方程组存在周期解的方法。
关键词 线性微分方程 轨线方程 封闭曲线 周期解 初值问题
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关于轻质弹性摆线下的摆锤运动轨线形状的分析
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作者 王李晋 《科技创新导报》 2014年第33期40-40,共1页
用构造的方法建立模型,然后用胡克定律、向心力公式以及能量守恒定律进行定量分析,得到轨线在极坐标下的解析方程,并将方程化为形如fl?)(?的函数,画出其图像。最后证明劲度系数趋于无穷大弹性消失时轨线趋于半圆弧,由此验证了该方,由此... 用构造的方法建立模型,然后用胡克定律、向心力公式以及能量守恒定律进行定量分析,得到轨线在极坐标下的解析方程,并将方程化为形如fl?)(?的函数,画出其图像。最后证明劲度系数趋于无穷大弹性消失时轨线趋于半圆弧,由此验证了该方,由此验证了该方程的合理性。 展开更多
关键词 弹性摆线 极坐标 轨线方程
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几类平面自治系统的积分因子及其通积分求法
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作者 汤光宋 梁兴为 《临沧教育学院学报》 2002年第3期88-92,共5页
给出几类平面自治系统积分因子的求法,同时提供相应的表达式;进而再利用积分因子给出平面自治系统的轨线方程和通积分的求法。
关键词 平面自治系统 全微分系统 积分因子 轨线方程 通程分
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弱光滑系统的最优控制理论 被引量:1
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作者 门少平 罗学波 《兰州大学学报(自然科学版)》 CAS CSCD 北大核心 2003年第1期8-16,共9页
提出了弱光滑系统概念 ,并讨论了与之相关的最优控制问题 .
关键词 弱光滑系统 最优控制理论 最大值原理 完备度量空问 线变分方程
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Experimental Simulation and Analysis of the Yarn Motion Track in a Hairiness-Reducing Nozzle
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作者 韩大伟 王建坤 郭会勇 《Journal of Donghua University(English Edition)》 EI CAS 2009年第6期616-620,共5页
A visible magnified and simulated nozzle was designed and installed on a winding machine according to the similarity principle of Reynolds number, to study the yarn motion track in hairiness-reducing nozzle. High-spee... A visible magnified and simulated nozzle was designed and installed on a winding machine according to the similarity principle of Reynolds number, to study the yarn motion track in hairiness-reducing nozzle. High-speed photography was used to observe the yam instantaneous motion state in the nozzle. The results show that the yarn motion track seems to be a cylindrical helix which is close to inner wall in the twisting chamber and kept the same with different technical parameters, such as diameter of the twisting chamber and jet pressure in orifices. According to simulation results and reasonable simplification, the motion track equation and the rotational equation of the yarn could be derived. The velocity of the swirl and hairiness is faster than that of the yarn balloon, so there is enough time for hairiness to be wrapped into the main body of yarn and hence the hairiness is reduced. 展开更多
关键词 hairiness-reducing nozzle YARN simulated nozzle high-speed photography motion track yarn balloon velocity
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Point return orbit design and characteristics analysis for manned lunar mission 被引量:13
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作者 SHEN HongXin ZHOU JianPing +1 位作者 PENG QiBo LI HaiYang 《Science China(Technological Sciences)》 SCIE EI CAS 2012年第9期2561-2569,共9页
Point return orbit(PRO) of manned lunar mission is constrained by both lunar parking orbit and reentry corridor associated with reentry position.Besides,the fuel consumption and flight time should be economy.The patch... Point return orbit(PRO) of manned lunar mission is constrained by both lunar parking orbit and reentry corridor associated with reentry position.Besides,the fuel consumption and flight time should be economy.The patched conic equations which are adaptive to PRO are derived first,the PRO is modeled with fuel and time constraints based on the design variables of orbit parameters with clear physical meaning.After that,by combining analytical method with numerical method,a serial orbit design strategy from initial value design to precision solution is proposed.Simulation example indicates that the method has excellent convergence performance and precision.According to a great deal of simulation results by the method,the PRO characteristics such as Moon centered orbit parameters,Earth centered orbit parameters,transfer velocity change,etc.are analyzed,which can supply references to the manned lunar mission orbit scheme. 展开更多
关键词 manned lunar mission point return orbit orbit design orbit characteristics optimization
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A frequency and amplitude dependent model of rail pads for the dynamic analysis of train-track interaction 被引量:6
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作者 ZHU Sheng Yang CAI Cheng Biao +1 位作者 LUO Zhen LIAO Zhong Qi 《Science China(Technological Sciences)》 SCIE EI CAS CSCD 2015年第2期191-201,共11页
A frequency and amplitude dependent model is used to describe the complex behavior of rail pads. It is implemented into the dynamic analysis of three dimensional coupled vehicle-slab track (3D-CVST) systems. The veh... A frequency and amplitude dependent model is used to describe the complex behavior of rail pads. It is implemented into the dynamic analysis of three dimensional coupled vehicle-slab track (3D-CVST) systems. The vehicle is treated as a 35-degree- of-freedom multi-body system, and the slab track is represented by two continuous Bernoulli-Euler beams supported by a se- ries of elastic rectangle plates on a viscoelastic foundation. The rail pad model takes into account the influences of the excita- tion frequency and of the displacement amplitude through a fractional derivative element, and a nonlinear friction element, re- spectively. The Granwald representation of the fractional derivatives is employed to numerically solve the fractional and non- linear equations of motion of the 3D-CVST system by means of an explicit integration algorithm. A dynamic analysis of the 3D-CVST system exposed to excitations of rail harmonic irregularities is primarily carried out, which reveals the dependence of stiffness and damping on excitation frequency and displacement amplitude. Subsequently, sensitive analyses of the model parameters are investigated by conducting the dynamic analysis of the 3D-CVST system subjected to excitations of welded rail joint irregularities. Following this, parameters of the rail pad model are optimized with respect to experimental values. For elu- cidation, the 3D-CVST dynamic model incorporated with the rail pads model is used to calculate the wheel/rail forces induced by excitations of measured random track irregularities. Further, the numerical results are compared with experimental data, demonstrating the reliability of the proposed model. 展开更多
关键词 rail pads vehicle-track coupled dynamics frequency dependent amplitude dependent
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BIFURCATION OF PERIODIC ORBITS OF A THREE-DIMENSIONAL SYSTEM 被引量:5
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作者 LIUXUANLIANG HANMAOAN 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2005年第2期253-274,共22页
Consider a three-dimensional system having an invariant surface. By using bifurca- tion techniques and analyzing the solutions of bifurcation equations, the authors study the spacial bifurcation phenomena of a k multi... Consider a three-dimensional system having an invariant surface. By using bifurca- tion techniques and analyzing the solutions of bifurcation equations, the authors study the spacial bifurcation phenomena of a k multiple closed orbit in the invariant surface. The su?cient conditions of the existence of many closed orbits bifurcate from the k multiple closed orbit are obtained. 展开更多
关键词 BIFURCATION Invariant surface Three-dimensional system Closed orbit
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