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可靠性逼近中次线性方程的计算方法 被引量:3
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作者 陈秋杰 董玉革 《合肥工业大学学报(自然科学版)》 CAS CSCD 北大核心 2011年第2期171-174,共4页
用线性极限状态方程逼近非线性极限状态方程是提高可靠性分析精度的一种有效方法,如何选择合适的线性极限状态方程及其数量是保证逼近精度的关键。文章提出了一种计算次线性方程的有效方法,即在已获得的主或次线性方程的基础上,通过迭... 用线性极限状态方程逼近非线性极限状态方程是提高可靠性分析精度的一种有效方法,如何选择合适的线性极限状态方程及其数量是保证逼近精度的关键。文章提出了一种计算次线性方程的有效方法,即在已获得的主或次线性方程的基础上,通过迭代优化,根据相邻2个线性方程的相关系数来判断求得的次线性方程是否合适,从而得到下一个线性极限状态方程的展开点及次线性方程;算例验证了所讨论的方法具有较好的精度。 展开更多
关键词 线性极限状态方程 逼近方法 步长 次线性方程
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一般有界区域上次线性椭圆方程改进的正解估计
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作者 保继光 《数学物理学报(A辑)》 CSCD 北大核心 2002年第3期348-352,共5页
在一般有界区域上 ,建立了次线性椭圆方程广义
关键词 一般有界区域 次线性方程 正解 估计
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Development of dynamic-mathematical model of hydraulic excavator 被引量:7
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作者 Vujic Dragoljub Lazarevic Olgica Batinic Vojislav 《Journal of Central South University》 SCIE EI CAS CSCD 2017年第9期2010-2018,共9页
This work deals with analysis of dynamic behaviour of hydraulic excavator on the basis of developed dynamic-mathematical model.The mathematical model with maximum five degrees of freedom is extended by new generalized... This work deals with analysis of dynamic behaviour of hydraulic excavator on the basis of developed dynamic-mathematical model.The mathematical model with maximum five degrees of freedom is extended by new generalized coordinate which represents rotation around transversal main central axis of inertia of undercarriage.The excavator is described by a system of six nonlinear,nonhomogenous differential equations of the second kind.Numerical analysis of the differential equations has been done for BTH-600 hydraulic excavator with moving mechanism with pneumatic wheels. 展开更多
关键词 hydraulic excavator dynamic behaviour dynamic-mathematical model
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Attitude controller for reentry vehicles using state-dependent Riccati equation method 被引量:3
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作者 谢道成 王中伟 张为华 《Journal of Central South University》 SCIE EI CAS 2013年第7期1861-1867,共7页
To get better tracking performance of attitude command over the reentry phase of vehicles, the use of state-dependent Riccati equation (SDRE) method for attitude controller design of reentry vehicles was investigated.... To get better tracking performance of attitude command over the reentry phase of vehicles, the use of state-dependent Riccati equation (SDRE) method for attitude controller design of reentry vehicles was investigated. Guidance commands are generated based on optimal guidance law. SDRE control method employs factorization of the nonlinear dynamics into a state vector and state dependent matrix valued function. State-dependent coefficients are derived based on reentry motion equations in pitch and yaw channels. Unlike constant weighting matrix Q, elements of Q are set as the functions of state error so as to get satisfactory feedback and eliminate state error rapidly, then formulation of SDRE is realized. Riccati equation is solved real-timely with Schur algorithm. State feedback control law u(x) is derived with linear quadratic regulator (LQR) method. Simulation results show that SDRE controller steadily tracks attitude command, and impact point error of reentry vehicle is acceptable. Compared with PID controller, tracking performance of attitude command using SDRE controller is better with smaller control surface deflection. The attitude tracking error with SDRE controller is within 5°, and the control deflection is within 30°. 展开更多
关键词 reentry vehicle attitude controller nonlinear control state-dependent Riccati equation Schur algorithm trackingperformance
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