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基于新的拟牛顿方程的Broyden-Fletcher-Goldfarb-Shanno算法 被引量:3
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作者 楚添定 马柏林 《应用数学与计算数学学报》 2012年第4期360-367,共8页
通过对函数的泰勒展开式进行误差分析,提出了对二次模型进行改进的新模型,在此基础上得到了改进的拟牛顿条件,并得到了与其相应的Broyden-Fletcher-Goldfarb-Shanno(BFGS)算法.证明了在适当条件下该算法全局收敛.从试验函数库中选择标... 通过对函数的泰勒展开式进行误差分析,提出了对二次模型进行改进的新模型,在此基础上得到了改进的拟牛顿条件,并得到了与其相应的Broyden-Fletcher-Goldfarb-Shanno(BFGS)算法.证明了在适当条件下该算法全局收敛.从试验函数库中选择标准测试函数,对经典的BFGS算法与改进的BFGS算法进行数值试验,试验结果表明改进的算法优于经典的BFGS算法. 展开更多
关键词 无约束最优化 拟牛顿法 Broyden-Fletcher-Goldfarb-Shanno (bfgs) 修正拟牛顿法
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Measuring the flexibility matrix of an eagle’s flight feather and a method to estimate the stiffness distribution
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作者 Di Tang Hai Zhu +2 位作者 Wei Yuan Zhongyong Fan Mingxia Lei 《Chinese Physics B》 SCIE EI CAS CSCD 2019年第7期305-311,共7页
Flight feathers stand out with extraordinary mechanical properties for flight because they are lightweight but stiff enough.Their elasticity has great effects on the aerodynamics, resulting in aeroelasticity.Our prima... Flight feathers stand out with extraordinary mechanical properties for flight because they are lightweight but stiff enough.Their elasticity has great effects on the aerodynamics, resulting in aeroelasticity.Our primary task is to figure out the stiffness distribution of the feather to study the aeroelastic effects.The feather shaft is simplified as a beam, and the flexibility matrix of an eagle flight feather is tested.A numerical method is proposed to estimate the stiffness distributions along the shaft length based on an optimal Broyden–Fletcher–Goldfarb–Shanno(BFGS) method with global convergence.An analysis of the compressive behavior of the shaft based on the beam model shows a good fit with experimental results.The stiffness distribution of the shaft is finally presented using a 5 th order polynomial. 展开更多
关键词 FEATHER stiffness distribution FLEXIBILITY matrix optimal Broyden–Fletcher–Goldfarb–Shanno(bfgs)
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