Results 1 to 10 of about 236 (97)
通过摄动系数建立分层网格,用多尺度有限元法捕捉对流扩散方程的两端边界层,研究二维奇异摄动模型。基于分层网格并利用多尺度基函数刻画了边界层的微观信息,用有限的计算资源、较短的计算时间,得到了不依赖于摄动系数、一致稳定的模拟结果。
SUNMeiling(孙美玲), JIANGShan(江山)
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Note on the midpoint upwind scheme of the Bakhvalov-Shishkin mesh(中点迎风差分格式在Bakhvalov-Shishkin网格上的注记)
研究具有单一边界层的奇异摄动两点边界值问题,在Bakhvalov-Shishkin网格上构造了中点迎风差分格式,并且证明了该差分格式具有O(N-1)关于摄动参数ε一致的收敛阶,其中N为网格结点数.
LIANGKe-wei(梁克维) +2 more
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A finite difference scheme uniform in ε for singularly perturbed problems(关于ε一致的奇异摄动问题的差分格式及其收敛速度)
本文对奇异摄动两点边界值问题,在特殊的加密网格上构造了差分格式,使其收敛阶从Shishkin网格的O(N-2ln2N)提高到O(N-2),其中N为网格节点数.
LIANGKe-wei(梁克维) +2 more
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输入受限的漂浮基多柔性空间机器人轨迹跟踪的混合控制及振动主动抑制
空间机器人在实际运作中往往会遇到控制系统输入受限的情况,这将严重影响系统的控制品质。考虑输入受限的情况,对漂浮基多柔性空间机器人系统进行研究。通过对系统进行运动学和动力学分析,构建系统的动力学方程。采用奇异摄动方法,将刚柔耦合系统分为慢变子系统和快变子系统,并为各个子系统设计控制方法。最终提出由改进的鲁棒滑模模糊控制方法、速度差值反馈控制法和线性二次最优控制方法组成的混合控制方法。该控制方法能够主动减小空间机器人完成期望运动所需的力矩,使系统适应输入受限的工作条件;同时能够补偿系统的不确定参数和外部干扰,
谢 立敏, 于 潇雁
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对于一类奇异摄动问题,给出了 一种半离散差分格式,其网格是通过等分布所研究问题解的弧长控制函数而生成的.通过采用离散最大模原理和先验截断误差估计,证明了离散最大模下数值解是关于摄动参数ε一阶一致收敛的.这比已有文献中的误差收敛阶有明显的改进.数值实验验证了理论分析的正确性.
YANGJi-ming(杨继明)
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Research Progress of Galloping of Overhead Iced Transmission Lines [PDF]
[Introduction] The galloping of transmission lines will lead to trip, worn hardware, broken insulator string, damaged tower-arm and other accidents. In serious cases, collapsed tower accidents may occur.
Guangyun MIN, Xiaohui LIU, Xin ZHAO
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Research on Model Reduction of Direct Drive Wind Farm Subsynchronous Oscillation Analysis Based on Alternating Direction Implicit Balanced Truncation Method [PDF]
A reduced order model for subsynchronous oscillation analysis of direct drive wind farm was studied, and a balanced truncation method based on alternating direction implicit (ADI) was proposed.
LIU Kan, WANG Jinzhao, YAN Gangui
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Singular perturbation decomposition-based ride quality control of elastic aircraft
Considering the reduction of ride comfort under wind disturbance, the ride quality control method based on singular perturbation decomposition is proposed.
LI Zhaoxing +4 more
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Booster method for singularly perturbed two-point boundary value problems(解一类奇异摄动两点边界值问题的Booster方法)
研究一类奇异摄动两点边界值问题,用Booster方法进行求解,使其收敛阶提高了O(εn+1),尤其在特殊加密网格上,使其收敛阶从O(N-2)提高到O(εn+1N-2).其中ε为摄动小参数,n为渐近展开的阶数.最后给出了数值例子.
JINZhong-qiu(金中秋“) +2 more
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基于误差校正方法给出了用等分布原理求解一类奇异摄动两点边值问题的自适应数值新算法,用理论方法和数值试验证明了该算法的可行性和高效性.
YANGJi-ming(杨继明) +1 more
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