之前在使用一款力学仿真软件(Openfast)计算时,总是出现不收敛的问题,怀疑是数值计算问题。所以后面详细的分析了其中使用的广义α法的收敛性。 动力学数值求解方法常用叠加法(Duhamel 积分)、直接积分法(如newmark-beta法),Generalized- α 法是直接积分法的一种。 以单自由度动力学系统为例,对Generalized- α 方法计...
先挖坑 1.取0 2.取上一时刻的值 3.上一时刻的加速度,速度和位移重新计算 发布于 2024-10-22 14:24・IP 属地日本 数值计算 微分方程 振动力学 写下你的评论... 打开知乎App 在「我的页」右上角打开扫一扫 其他扫码方式:微信 下载知乎App 开通机构号 ...
Generalized Alpha-Close-to-Convex FunctionsA function
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The generalized-α method and α-RATTLE method were used in the numerical integration of nonholonomic constrained mechanical systems,i. 将源于直接积分方法的广义-α法和α-RATTLE法应用到非完整力学系统动力学方程数值积分中,直接求解指标-2的微分-代数方程(DAEs),这两种方法的质量矩阵可以是常量,也可以与广...
We extend the second-order generalized-method to third-order in time while the numerical dissipation can be controlled by a single parameter. In each time step, the scheme only requires inverting one matrix on acceleration and update the displacement and velocity explicitly. We establish that the ...
The Generalized-Alpha-Beta-Skew-Normal Distribution: Properties and ApplicationsM. Masoom AliPartha Jyoti HazarikaSricharan ShahSubrata Chakraborty
Generalized Alpha-Beta divergences and their application to robust nonnegative matrix factorization. Entropy 2011, 13, 134-170. [CrossRef]Cichocki, A., Cruces, S., Amari, S.I.: Generalized alpha-beta divergences and their application to robust nonnegative matrix factorization. Entropy 13, 134...
Generalized-alpha methodStiff potentialHighly oscillatory systemsGeneralized- time integration schemes, originally developed for application in structural dynamics, are increasingly popular throughout many branches of multibody system simulation. Their simple implementation and the opportunity to control the ...
Generalized Alpha-Close-to-Convex FunctionsConvex Functionsthese classesclassesWe define the classes G_β(α, k, γ) as follows: f∈G_β(α,k, if and only if, for z∈E={C:|z| < 1), |arg { (1 - α~2z~2)f'(z)/ e~(-iβ)φ'(z)}|≤γπ/2, 0 γ≤ 1; α∈[0,1]...