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钢丝绳成形过程共转坐标系弹塑性有限元分析 被引量:20
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作者 王桂兰 张海鸥 《华中科技大学学报(自然科学版)》 EI CAS CSCD 北大核心 2001年第8期65-67,共3页
钢丝绳强度受其几何结构和成形加工应力的影响很大 .为此采用考虑钢丝绳成形大转动几何非线性的共转坐标系弹塑性有限元法 ,模拟了钢丝绳成形过程 .通过数值计算分析了成形过程捻制反扭转系数和捻制方向组合对钢丝绳加工应力应变分布的... 钢丝绳强度受其几何结构和成形加工应力的影响很大 .为此采用考虑钢丝绳成形大转动几何非线性的共转坐标系弹塑性有限元法 ,模拟了钢丝绳成形过程 .通过数值计算分析了成形过程捻制反扭转系数和捻制方向组合对钢丝绳加工应力应变分布的影响 。 展开更多
关键词 钢丝绳 弹塑性有限元模拟 动几何非线性 应力应变分析 转坐标系 捻制成形 CAE
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拉格朗日微分中值定理的证明与坐标旋转 被引量:1
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作者 余胜春 《长江大学学报(自科版)(上旬)》 CAS 2013年第5期1-2,5,共3页
通过对拉格朗日微分中值定理的证明中的辅助函数的规律性研究,得到其更为一般性的推广。同时通过标系的旋转变换,在新的坐标系下曲线不一定满足罗尔定理中在开区间内可导的条件,但仍然可以通过坐标系的旋转变换来证明拉格朗日微分中值... 通过对拉格朗日微分中值定理的证明中的辅助函数的规律性研究,得到其更为一般性的推广。同时通过标系的旋转变换,在新的坐标系下曲线不一定满足罗尔定理中在开区间内可导的条件,但仍然可以通过坐标系的旋转变换来证明拉格朗日微分中值定理。 展开更多
关键词 辅助函数 坐标系 中值定理 证明
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空间梁单元几何非线性的随转参考点法
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作者 朱敏 杨咏漪 任杰 《路基工程》 2009年第6期11-12,共2页
计算空间梁几何非线性的关键问题是获得单元随转坐标下的节点转动和轴向压缩位移,进而在整体坐标系统下计算梁端不平衡力。文中从近似和精确两个角度利用矢量旋转对转角位移的计算进行了论述,提出了随转参考点法计算单元在整体坐标下的... 计算空间梁几何非线性的关键问题是获得单元随转坐标下的节点转动和轴向压缩位移,进而在整体坐标系统下计算梁端不平衡力。文中从近似和精确两个角度利用矢量旋转对转角位移的计算进行了论述,提出了随转参考点法计算单元在整体坐标下的不平衡力,并用实例进行了验证,结果表明,该法是可靠而有效的。 展开更多
关键词 空间梁 几何非线性 转坐标系 参考点
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基于共旋坐标法的空间桁架几何非线性分析 被引量:1
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作者 朱丽君 颜海泉 董正方 《科学技术与工程》 北大核心 2023年第31期13227-13233,共7页
以往提出的共旋坐标法中,随动与整体坐标系的转换矩阵的计算需要中介值,对于大型工程结构会影响计算效率,且共旋坐标法在有限元程序中的实现多基于面向过程技术,以至数据不易管理、功能难以扩充,此外桁架何时考虑几何非线性也缺乏研究... 以往提出的共旋坐标法中,随动与整体坐标系的转换矩阵的计算需要中介值,对于大型工程结构会影响计算效率,且共旋坐标法在有限元程序中的实现多基于面向过程技术,以至数据不易管理、功能难以扩充,此外桁架何时考虑几何非线性也缺乏研究。归纳对比了两种常用的共旋坐标法理论,基于整体坐标系原点来建立随转坐标系,给出无需中介值的空间桁架转换矩阵及杆端抗力的具体表达式,并基于此法,使用C++语言在基于面向对象技术的程序Aduts中实现空间桁架单元,进一步简化了共旋坐标法的计算,使其在有限元程序中的数据管理、二次开发和维护更简便。设计典型算例验证了本文桁架单元的正确性,并通过参数分析研究桁架的几何非线性,结果表明桁架的几何非线性不能单纯以经验理论即应变达到5%为判断依据,而需结合拱跨比的值来确定。 展开更多
关键词 有限元分析 空间桁架 共旋坐标 转坐标系 几何非线性 面向对象
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空间杆系结构实用几何非线性分析 被引量:12
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作者 丁泉顺 陈艾荣 项海帆 《力学季刊》 CSCD 北大核心 2001年第3期300-306,共7页
从简单实用的角度论述了空间杆系结构的几何非线性分析方法。文中分析了非线性有限元方法的求解过程,特别强调决定几何非线性收敛结果的关键问题,即由节点位移增量计算单元的内力增量。通过引入随转坐标系,论述了平面和空间梁单元小应... 从简单实用的角度论述了空间杆系结构的几何非线性分析方法。文中分析了非线性有限元方法的求解过程,特别强调决定几何非线性收敛结果的关键问题,即由节点位移增量计算单元的内力增量。通过引入随转坐标系,论述了平面和空间梁单元小应变时单元内力增量的计算问题。针对杆系结构的大应变问题,从有限应变理论出发进行分析,提出了对该问题的有效处理方法,并且用实例进行了验证。计算结果表明,该实用几何非线性分析方法是可靠和有效的。 展开更多
关键词 空间杆系结构 几何非线性 实用分析 小应变理论 大应变 有限元 单元内力增量 转坐标系 现代工程结构 非线性连续介质力学
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钢丝绳成形力学行为的非线性有限元分析 被引量:4
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作者 王桂兰 张海鸥 《工程力学》 EI CSCD 北大核心 2002年第3期166-170,共5页
钢丝绳捻制成形过程属于三维梁大转动弹塑性变形问题。钢丝绳的加工应力不仅影响成形性,而且由其引起的残余应力对钢丝绳结构强度有很大影响。为保证钢丝绳成形模拟计算精度和效率,从而为钢丝绳成形工艺与结构强度的合理设计提供依据... 钢丝绳捻制成形过程属于三维梁大转动弹塑性变形问题。钢丝绳的加工应力不仅影响成形性,而且由其引起的残余应力对钢丝绳结构强度有很大影响。为保证钢丝绳成形模拟计算精度和效率,从而为钢丝绳成形工艺与结构强度的合理设计提供依据,本研究建立了考虑大转动几何非线性和材料非线性的共转坐标系弹塑性有限元计算基本方程,在此基础上编制了钢丝绳成形过程模拟计算程序。通过数值模拟计算分析钢丝绳捻制成形过程的反扭转系数对加工应力应变分布和残余应力的影响,计算结果表明:反扭转系数对捻制成形过程中应力应变和残余应力及形状冻结性有显著影响,合理的反扭转系数应取略大于1.0的值。实验结果证实了本文提出的捻线成形过程数值模拟几何模型和有限元计算模型的有效性。 展开更多
关键词 力学行为 非线性 有限元分析 钢丝绳成形 运几何非线性 转坐标系
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有控弹箭稳定性边界的解析预测模型
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作者 常思江 李东阳 《航空兵器》 CSCD 北大核心 2023年第1期11-18,共8页
针对弹箭在控制力作用下的稳定性问题,对有控弹箭稳定性边界的解析预测模型进行研究。通过对弹轴系纵轴向角速度的线性化,在弹轴系下建立了有控弹箭角运动方程;通过对弹轴系与非滚系之间滚转角的线性化,在非滚系下建立了五阶角运动方程... 针对弹箭在控制力作用下的稳定性问题,对有控弹箭稳定性边界的解析预测模型进行研究。通过对弹轴系纵轴向角速度的线性化,在弹轴系下建立了有控弹箭角运动方程;通过对弹轴系与非滚系之间滚转角的线性化,在非滚系下建立了五阶角运动方程。根据线性系统稳定性理论,分别推导出弹轴系和非滚系下的稳定性边界解析预测模型。对两种模型在多种工况下开展了仿真分析,结果表明,所提出的弹轴系模型可用于升弧段和降弧段,但控制方位角的应用范围受限;而非滚系模型不受控制方位角范围限制,预测精度较好,但只能用于降弧段,且控制力过大对模型精度产生不利影响;实际工程中建议对两种模型进行综合应用。 展开更多
关键词 有控弹箭 控制力 角运动 稳定性 弹轴坐标系 非滚转坐标系
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单相并网逆变器功率调节的研究
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作者 芦泉 薛士龙 耿攀 《机电一体化》 2013年第4期21-25,共5页
基于PI调节器的单相并网逆变器的控制简单,但却不便实现有功、无功的独立控制,且电流环无法实现电流的无静差控制。通过虚拟一个与实际输出交流量正交的交流量,得到合成的旋转矢量并完成d-q旋转变换,进而在同步旋转坐标系内对单相逆变... 基于PI调节器的单相并网逆变器的控制简单,但却不便实现有功、无功的独立控制,且电流环无法实现电流的无静差控制。通过虚拟一个与实际输出交流量正交的交流量,得到合成的旋转矢量并完成d-q旋转变换,进而在同步旋转坐标系内对单相逆变器的输出功率进行控制。对功率调节及电流检测的方法进行了理论分析,并通过PSIM软件对控制方案进行仿真验证,实验结果表明该方案在同步旋转坐标系下可以实现功率的独立控制,且具有良好的静态与动态特性。 展开更多
关键词 单相并网逆变器旋 转坐标系 功率调节 电流检测
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Two algorithms of working acceleration generated by a precision centrifuge with two rotating axes 被引量:4
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作者 陈希军 任顺清 《Journal of Harbin Institute of Technology(New Series)》 EI CAS 2006年第1期1-3,共3页
The displacement of the origin of the accelerometer coordinate system relative to the origin of the base coordinate system is calculated by homogeneous transformation. The second order derivative of this displacement ... The displacement of the origin of the accelerometer coordinate system relative to the origin of the base coordinate system is calculated by homogeneous transformation. The second order derivative of this displacement is the acceleration of the origin to the accelerometer coordinate system. By means of the attitude relationship between the base coordinate system and the accelerometer coordinate system, the acceleration components on the three coordinate axes is obtained. Utilizing the Coriolis rotation coordinate theorem, the three components are also calculated. The homogeneous transtbrmation method and vector differential method lead to identical results. 展开更多
关键词 precision centrifuge ACCELERATION homogeneous transformation ATTITUDE
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An effective algorithm for needle tip displacement compensation in robot-assisted percutaneous surgery 被引量:1
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作者 Sun Yinshan Wu Dongmei Du Zhijiang Sun Lining 《High Technology Letters》 EI CAS 2010年第3期306-310,共5页
This paper presents an automatic compensation algorithm for needle tip displacement in order to keep the needle tip always fixed at the skin entry point in the process of needle orientation in robot-assisted percutane... This paper presents an automatic compensation algorithm for needle tip displacement in order to keep the needle tip always fixed at the skin entry point in the process of needle orientation in robot-assisted percutaneous surgery. The algorithm, based on a two-degree-of-freedom (2-DOF) robot wrist (not the mechanically constrained remote center of motion (RCM) mechanism) and a 3-DOF robot ann, firstly calculates the needle tip displacement caused by rotational motion of robot wrist in the arm coordinate frame using the robotic forward kinematics, and then inversely compensates for the needle tip displace- ment by real-time Cartesian motion of robot arm. The algorithm achieves the function of the RCM and eliminates many mechanical and virtual constraints caused by the RCM mechanism. Experimental result demonstrates that the needle tip displacement is within 1 inm in the process of needle orientation. 展开更多
关键词 robot-assisted percutaneous surgery needle insertion robot needle tip displacement compensation remote center of motion (RCM) virtual remote center of motion (VRCM) medical robot
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Route design and automatic check in electronic chart display and information system 被引量:2
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作者 ZHAOYu-xin TANGJi-qiang LIGang GAOChao 《Journal of Marine Science and Application》 2004年第1期33-36,共4页
For an electronic chart display and information system (ECDIS), the most important function is the route design. In this paper, a novel approach to developing ECDIS was given and then an effective method was proposed ... For an electronic chart display and information system (ECDIS), the most important function is the route design. In this paper, a novel approach to developing ECDIS was given and then an effective method was proposed for route design and automatic check. The mathematical model and logical relationship for coordinate transformation were also provided. They were adopted in ECDIS developing, which was based on the researeh of the Vxworks real-time operating system. The actual system application implies that the method is practical and can help navigation very well. 展开更多
关键词 ECDIS route design coordinate transform VXWORKS
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Light pen whole space coordinate measuring system based on a tracking turntable
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作者 WANG Sen LIU Shugui MAO Qing 《Journal of Measurement Science and Instrumentation》 CAS CSCD 2021年第4期379-389,共11页
Light pen coordinate measuring system(LPCMS)is a kind of portable coordinate measuring technique based on vision metrology.In classical LPCMS,the measuring range is limited to the camera’s field of view.To overcome t... Light pen coordinate measuring system(LPCMS)is a kind of portable coordinate measuring technique based on vision metrology.In classical LPCMS,the measuring range is limited to the camera’s field of view.To overcome this defect,a new LPCMS is designed in this paper to fulfil whole space coordinate measurement.The camera is installed on a turntable instead of a tripod,so that the camera can rotate to track the movement of the light pen.The new system can be applied to large scale onsite measurement,and therefore it notably extends the application of LPCMS.To guarantee the accuracy of the new system,a method to calibrate the parameters of the tracking turntable is also proposed.Fixing the light pen at a stationary position,and changing the azimuth angles of the turntable’s two shafts,so that the camera can capture the images of the light pen from different view angles.According to the invariant spatial relationship between the camera and the pedestal of the tracking turntable,a system of nonlinear equations can be established to solve the parameters of the turntable.Experimental results show that the whole space coordinate measuring accuracy of the new system can reach 0.25 mm within 10 m.It can be concluded that the newly designed system can significantly expand the measuring range of LPCMS without losing too much accuracy. 展开更多
关键词 light pen whole space coordinate measuring system tracking turntable vision metrology parameter calibration homogeneous coordinate transformation matrix
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A Flexible and High Speed Digital Scan Converter for High Frequency Ultrasound Imaging
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作者 QIU Wei-bao YU Yan-yan SUN Lei 《Chinese Journal of Biomedical Engineering(English Edition)》 2011年第3期109-114,共6页
This paper presents a flexible and high speed digital scan converter (DSC) with the ability to handle high frequency ultrasound imaging in real-time. The characteristics in imaging system such as focus length of trans... This paper presents a flexible and high speed digital scan converter (DSC) with the ability to handle high frequency ultrasound imaging in real-time. The characteristics in imaging system such as focus length of transducer, the swing radius and sampling length etc. could be changed easily in compliance with the researcher's application based on this flexible digital scan converter. Linear interpolation is employed to achieve the coordinate transformations algorithm. Custom-built software is programmed to preliminarily handle the algorithm according to different ultrasound imaging applications. High performance FPGA will implement high speed interpolation calculation based on the preliminary data which are stored in the DDR2 SDRAM from the software. 64 bit 66 MHz PCI is employed to accomplish high speed data transmission. Experiment has shown that more than 500 frame rate could be achieved based on this high speed digital scan converter. The designed flexible and high speed digital scan converter could be used in current FPGA based high frequency ultrasound imaging system. 展开更多
关键词 flexible digital scan conversion high frequency ultrasound imaging FPGA
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Multi-view coordinate system transformation based on robot 被引量:1
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作者 宋丽梅 王朋强 +5 位作者 习江涛 郭庆华 唐欢 李晶 李晓捷 朱腾达 《Optoelectronics Letters》 EI 2015年第6期473-476,共4页
The registration of point cloud is important for large object measurement.A measurement method for coordinate system transformation based on robot is proposed in this paper.Firstly,for obtaining extrinsic parameters,t... The registration of point cloud is important for large object measurement.A measurement method for coordinate system transformation based on robot is proposed in this paper.Firstly,for obtaining extrinsic parameters,the robot moves to three different positions to capture the images of three targets.Then the transformation matrix X between camera and tool center point(TCP) coordinate systems can be calculated by using the known parameters of robot and the extrinsic parameters,and finally the multi-view coordinate system can be transformed into robot coordinate system by the transformation matrix X.With the help of robot,the multi-view point cloud can be easily transformed into a unified coordinate system.By using robot,the measurement doesn't need any mark.Experimental results show that the method is effective. 展开更多
关键词 坐标系 机器人 多视图 坐标系 物体测量 变换矩阵 多视点云 测量方法
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Homoclinic Flip Bifurcations Accompanied by Transcritical Bifurcation 被引量:2
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作者 Xingbo LIU 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2011年第6期905-916,共12页
The bifurcations of orbit flip homoclinic loop with nonhyperbolic equilibria are investigated. By constructing local coordinate systems near the unperturbed homoclinic orbit, Poincare maps for the new system are estab... The bifurcations of orbit flip homoclinic loop with nonhyperbolic equilibria are investigated. By constructing local coordinate systems near the unperturbed homoclinic orbit, Poincare maps for the new system are established. Then the existence of homoclinic orbit and the periodic orbit is studied for the system accompanied with transcritical bifurcation. 展开更多
关键词 Transcritical bifurcation Homoclinic orbit Periodic orbit Localcoordinate system Poincar~ maps
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A novel control strategy for load converter of DC isolated distribution system under unbalanced loading conditions 被引量:1
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作者 R.NOROOZIAN M.ABEDI +1 位作者 G.B.GHAREHPETIAN S.H.HOSSEINI 《Journal of Zhejiang University-Science A(Applied Physics & Engineering)》 SCIE EI CAS CSCD 2009年第6期890-899,共10页
A novel control strategy for the load converter supplying the unbalanced AC load in a DC isolated distribution system is presented. The control algorithm results in balanced and sinusoidal load voltages under unbalanc... A novel control strategy for the load converter supplying the unbalanced AC load in a DC isolated distribution system is presented. The control algorithm results in balanced and sinusoidal load voltages under unbalanced AC loading. The unbalanced load is characterized in the d-q-0 rotating coordinate based on symmetrical sequence components. Also, the mathematical model of the load converter in both a-b-c and d-q-0 coordinates is derived by using the average large signal model. Then, two control strategies for the load converter are presented. The first one uses the conventional d-q-0 controller to ensure the voltage and current regulation. The second one is a newly proposed control strategy based on the decomposition of the voltage and current into in-stantaneous positive, negative, and zero sequences. These three sequences are controlled independently in their own reference frames as DC signals. The performance of the load converter using these two control strategies is compared. Simulation results show the validity and capability of the newly proposed control strategy. 展开更多
关键词 Unbalanced load Power quality Symmetrical components Control strategy
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