1)  yardstick
尺度法
2)  variable metric method
变尺度法
1.
Aiming at six parameters(κ,γ,δ,μ,η and C_0) of the dynamic vibration absorber in deep sea,the optimal design of parameters was processed with Broyden-Flether-Goldfarb-Shanno(BFGS) method of variable metric method,penalty function method and the line-search method.
针对海洋环境下动力吸振器的6个参数(κ,γ,δ,μ,η和C0),综合运用变尺度法中的Broyden-Flether-Goldfarb-Shanno(BFGS)法、罚函数法、一维搜索法进行最优化设计,利用Matlab和Visual C++混合编程实现计算。
2.
In this paper, we combine the extended projection type method given in 1 and uncontrained variable metric methodaand and give a new algorithm with n+m +1 parameters to solve linearly constrained nonlinear programming problems.
将文〔1〕中拓广的梯度投影法与无约束变尺度法结合,给出了含有n+m+1个参数且适用于求解带线性约束的非线性规划问题的算法,证明了算法的可行下降性及终止条件,研究了参数取特殊的值时所得算法的子族。
3.
This paper prestents a class of reduced variable metric algorithm for programming problems with standard linear constraints with the help of reduced gradient and Huang s variable metric methods.
本文将既约梯度法与Huang族变尺度法相结合,给出标准型线性约束规划问题的一类既约变尺度法
3)  multiple scales method
多尺度法
1.
The multiple scales method of Kuzmak-Luke was firstly applied to obtain the periodicity condition of solutions of strongly nonlinear oscillators with generally nonlinear spring, and then Jacobian elliptic functions were used to express the leading .
本文首先应用KuzmakLuke的多尺度法得到有一般非线性弹性力的强非线性振动系统解的周期性条件及用Jacobi椭圆函数表示的平方非线性振动和立方非线性振动的首阶渐近解。
2.
The mathematic model of contact system’s nonlinear vibration characteristics was built and the frequency-amplitude property of each order bending mode was solved by using multiple scales method.
接触系统的抖断是电磁继电器在振动环境条件下的主要失效模式,通过建立接触系统的非线性振动特性分析数学模型,进而应用多尺度法求解得到了各阶弯曲模态对应的频响关系,确定了系统所具有的软弹簧特性,并由此分析了激振力、触头初压力、触头曲率半径以及触头质量等参数对于振动特性的影响规律。
3.
Based on multiple scales method for nonlinear vibration analysis,the first approximation solutions and their corresponding steady state solutions to the primary resonance system were obtained.
根据非线性振动的多尺度法,得到系统满足主共振条件的一次近似解以及对应的定常解。
4)  DFP
变尺度法
1.
According to the problem of artillery control system and simulated annealing algorithm,a new improved simulated annealing algorithm,a simulated annealing algorithm based DFP is designed,and it is applied to PID control of artillery control system.
针对现有火炮控制系统与模拟退火算法优化存在的问题,提出了一种改进的模拟退火算法用于火炮控制系统PID参数寻优的方案,即基于变尺度法的模拟退火算法。
5)  Variable scale method
变尺度法
1.
Adaptive method and variable scale method are introduced in this paper.
介绍了变尺度法和适应法,并把这两种优化算法借助C语言开发的程序用于光学优化设计中,设计了两种典型的光学系统。
2.
Variable scale method,a sort of optimal method,is used in design of optical system,meanwhile,the technique of using the ‘escape function’ for variable scale method in design is describle.
把变尺度法用于光学优化设计中,同时使用了“逃逸函数”技术,从而实现了光学系统设计的全局优化。
6)  Method of multiple scales
多尺度法
1.
By means of the method of multiple scales for nonlinear oscillations,the approximate solution of primary resonance of the system was acquired,and a numerical analysis was carried out.
应用非线性振动的多尺度法,求得系统主共振的近似解,并进行了数值计算。
2.
By using the method of multiple scales for nonlinear vibration analysis, the first approximate solution of 3 superharmonic resonance of the system is obtaind.
本文研究W inkler地基梁在温度场中受简谐激励作用的3次超谐共振问题,应用弹性理论和Galerk in方法建立W inkler地基梁在温度场中受简谐激励作用的非线性动力方程,根据非线性振动的多尺度法求得系统满足3次超谐共振情况的一次近似解,分析了温度、阻尼、激励幅值、地基刚度等参数对系统的影响。
3.
Applying the method of multiple scales for nonlinear vibration, the first approximation solution of primary parametric resonance an.
根据非线性振动的多尺度法求得系统主参数共振-主共振情况的一次近似解,并进行数值计算。
参考词条
补充资料:变尺度法
分子式:
CAS号:

性质:变尺度法是在解无约束极值问题的梯度法基础上发展起来的,它利用递推的方法计算目标函数的二阶导数及其逆阵,减少了计算量,同时比梯度法收敛快,是目前解决无约束极值问题的最有效的算法之一。

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