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排序方式: 共有329条查询结果,搜索用时 15 毫秒
1.
针对非齐次动力学方程■,结合精细积分法和微分求积法,利用同阶的显式龙格-库塔法对计算过程中待求的v_(k+i/s)(i=1,2,…,s)进行预估,提出了一种避免状态矩阵求逆的高效精细积分单步方法。该方法采用精细积分法计算e~(Ht),而Duhamel积分项采用s级s阶的时域微分求积法,计算格式统一且易于编程,可灵活实现变阶变步长。仿真结果表明,与其他单步法及预估校正-辛时间子域法进行数值比较,该方法具有高精度、高效率及良好的稳定性,在求解大规模动力系统时间响应问题中具有较大的优势。 相似文献
2.
利用前人获得的α-混合序列部分和乘积的渐近分布的结果,对一般的边界函数和拟权函数得到了α-混合序列部分和乘积的精确渐近性的一般形式. 相似文献
3.
In this paper, by using central limit theorem of ND sequences
and probability inequality, the precise asymptotics for partial sums of nonstationary
ND sequences is investigated, and the same results with it under that of NA sequences
are obtained. 相似文献
4.
移动简谐荷载作用下桥梁响应的高效计算 总被引:7,自引:0,他引:7
在计算移动荷载过桥问题中广泛使用的Newmark方法必须在每一时间步内限制荷载的大小和作用位置都不能改变。精细积分法虽然允许荷载的大小在每一时间步长内发生变化,但是仍假定其作用位置是不变的,未能采取措施以描述荷载沿着桥面的连续移动性。本文提出三种精细积分格式,在每一时间步内不但允许移动荷载的大小按简谐规律连续变化,而且模拟了简谐荷载在空间域的连续移动。通过与Newmark方法和简单问题的解析解进行数值比较,表明用本文提出的方法可以用较粗的结构单元和较大的时间步长而获得很高的计算精度。在精度相同的前提下,计算效率比Newmark方法可提高1~2个数量级。 相似文献
5.
6.
The objective of the paper is to develop a new algorithm for numerical solution of dynamic elastic-plastic strain hardening/softening
problems. The gradient dependent model is adopted in the numerical model to overcome the result mesh-sensitivity problem in
the dynamic strain softening or strain localization analysis. The equations for the dynamic elastic-plastic problems are derived
in terms of the parametric variational principle, which is valid for associated, non-associated and strain softening plastic
constitutive models in the finite element analysis. The precise integration method, which has been widely used for discretization
in time domain of the linear problems, is introduced for the solution of dynamic nonlinear equations. The new algorithm proposed
is based on the combination of the parametric quadratic programming method and the precise integration method and has all
the advantages in both of the algorithms. Results of numerical examples demonstrate not only the validity, but also the advantages
of the algorithm proposed for the numerical solution of nonlinear dynamic problems.
The project supported by the National Key Basic Research Special Foundation (G1999032805), the National Natural Science Foundation
of China (19872016, 50178016, 19832010) and the Foundation for University Key Teacher by the Ministry of Education of China 相似文献
7.
非齐次动力方程Duhamel项的精细积分 总被引:13,自引:1,他引:13
提出了不需要矩阵求逆运算的求解Duhamel积分项的精细积分方法.通过将精细积分法的关键思想--加法定理和增量存储--直接应用于Duhamel积分响应矩阵的求解,可给出当非齐次项分别为多项式、正弦/余弦以及指数函数等基本形式时Duhamel积分在计算机上的精确解.特别的,该算法不依赖于系统矩阵(或相关矩阵)的形态.当系统矩阵奇异或接近奇异时,其优越性更为显著.算例验证了该算法的有效性. 相似文献
8.
To the optimal control problem of affine nonlinear system, based on differential geometry theory, feedback precise linearization was used. Then starting from the simulative relationship between computational structural mechanics and optimal control, multiple-substructure method was inducted to solve the optimal control problem which was linearized. And finally the solution to the original nonlinear system was found. Compared with the classical linearizational method of Taylor expansion, this one diminishes the abuse of error expansion with the enlargement of used region. 相似文献
9.
《Journal of Polymer Science.Polymer Physics》2018,56(12):914-923
N,N‐dialkylaminoethyl methacrylate (DAEA) monomers are extensively used to prepare multi‐responsive polymers. However, these monomers face high risk of hydrolysis in their ester groups when being polymerized in water‐containing medias. Here, NMR spectroscopy was employed to continuously track the hydrolysis and solubility of four widely used DAEA monomers [CH2CH2R1COO(CH2)2N(R2)2; R1 = H or CH3; R2 = CH3, CH2CH3 or CH(CH3)2] under typical polymerization conditions. With this technique, the hydrolysis reactivity and absolute hydrolysis amount of these monomers are separately examined, and then their kinetic correlations with solubility, molecular structure, pH, and temperature are established, so that the hydrolysis of DAEA monomers and even other esters with similar cyclic structure can be predicted. The present efforts are expected to provide a general understanding for the hydrolysis of all the DAEA monomers, benefitting to the optimization of polymerization toward well‐defined DAEA copolymers, as well as the design of smart soft matter for specific applications. © 2018 Wiley Periodicals, Inc. J. Polym. Sci., Part B: Polym. Phys. 2018 , 56, 914–923 相似文献
10.