共查询到20条相似文献，搜索用时 109 毫秒
1.
对四阶杆振动方程uu uxxxx=0构造了一个以tanh(x)为基础的隐式辛格式，然后对此格式建立了一种选代解法，并讨论了此迭代解法的收敛条件，数值例子表明：文章所给出的迭代解法是有效的，理论分析与实际计算相吻合。 相似文献
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本文介绍了辛空间的基本理论,通过构造辛算法得到Hamilton方程的数值解,并与分离变量法得到的解进行了比较. 相似文献
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矩形薄板弹性弯曲统一求解方法 总被引：3，自引：0，他引：3
在分析角点求解条件完备性的基础上将矩形板弯曲划分为广义静定问题和广义超静定问题 .广义静定弯曲可以由板的平衡微分方程及四边边界条件直接求解 ,广义超静定弯曲可以由叠加法求解 .这种求解方法可以解决各种边界条件下 (包括简支边、固定边、自由边、自由角点、支柱角点 )的矩形板在任意荷载作用下 (包括板面上作用任意法向荷载 ,板边界上作用任意荷载 ,板自由角点上作用集中力 ,板边界及支柱角点发生任意位移 )的弯曲 .本方法可以将经典的纳维叶解和李维解法有机地统一起来 ,且收敛速度快 ,计算精度高 . 相似文献
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矩形截面梁在受多项式分布载荷作用时,用弹性力学求解的要点是正确选择应力函数。目前常见的解法是针对具体载荷和边界条件提出一个应力函数形式,若载荷形式变化,则又要重新假设应力函数,因而求解过程显得凌乱,且对于梁受三次以上分布力作用,详细的求解过程尚未见报道。本文根据弹性力学半逆解法,对矩形截面梁的主要边界上受 q(x)=q_0x~k(q_0为常数,k=0,1,2,3,4)分布力,提出一个统一的应力函数模式: 相似文献
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辛容量是研究辛拓扑和哈密尔顿动力系统的重要的不变量,对辛容量的计算和估计通常是很困难的．本文对多复变函数论和复几何中的一类重要的研究对象——典型域进行了Gromov辛宽度和Hofer—Zehnder辛容量的计算,并对四类典型域做出了较好的上、下界的估计,极大地方便了典型域的进一步研究． 相似文献
6.
含时薛定谔方程的几种数值算法比较 总被引：1，自引：1，他引：0
因为含时薛定谔方程是偏微分方程,所以很难精确求解。我们以无限深方势阱为例,将几种数值解法应用于求解含时薛定谔方程,特别是应用了最近出现的辛算法,并用FORTRAN 语言和 True BASIC 语言自编程序进行了计算,最后将几种算法的结果与一定条件下的精确解作了比较并得出结论。 相似文献
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本文介绍了敦煌研究院藏0314号写经残片的现况和内容(原敦煌研究院工作人员辛普德搜集),并附带纪念辛普德先生. 相似文献
10.
本文将试函数方法和模态分析方法结合，给出矩形薄板在混合边界条件下受迫振动问题的分析方法．虽然我们仅就矩形薄板一条边界上具有两种边界条件的混合边界问题进行分析，但实际上本文方法对一条边界上具有多种混合边界条件问题，乃至一组边界上具有多种混合边界条件问题同样有效．作为算例，我们计算了在瞬时脉冲均布栽荷作用下，矩形薄板受迫振动的混合边界问题的挠度响应． 相似文献
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本文用两个广义位移的梁的理论,推导出具有两个广义位移受剪切影响的简支梁受均布载荷作用时的微分方程式,并求出其通解,进而根据边界条件求出其精确解. 相似文献
12.
Analytical solution for fixed-end beam subjected to uniform load 总被引：7，自引：0，他引：7
A bi-harmonic stress function is constructed in this work. Ariy stress function methodology is used to obtain a set of analytical solutions for both ends fixed beams subjected to uniform load. The treatment for fixed-end boundary conditions is the same as that presented by Timoshenko and Goodier （1970）. The solutions for propped cantilever beams and cantilever beams are also presented. All of the analytical plane-stress solutions can be obtained for a uniformly loaded isotropic beam with rectangular cross section under different types of classical boundary conditions. 相似文献
13.
INTRODUCTION The plane stress problem of beams is very clas-sical in elasticity theory and is encountered frequently in practical cases. Timoshenko and Goodier (1970) investigated isotropic beams for different cases, such as tension, shearing, pure bending, bending of a can-tilever by transverse load at the end, bending of a simply supported beam by uniform load and other cases of continuously loaded beams. Lekhnitskii (1968) studied the anisotropic beams problem including tension, shear… 相似文献
14.
The symplectic approach proposed and developed by Zhong et al. in 1990s for elasticity problems is a rational analytical method, in which ample experience is not needed as in the conventional semi-inverse method. In the symplectic space, elasticity problems can be solved using the method of separation of variables along with the eigenfunction expansion technique, as in traditional Fourier analysis. The eigensolutions include those corresponding to zero and nonzero eigenvalues. The latter group can be further divided into α-and β-sets. This paper reformulates the form of β-set eigensolutions to achieve the stability of numerical calculation, which is very important to obtain accurate results within the symplectic frame. An example is finally given and numerical results are compared and discussed. 相似文献
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推广应用功的互等定理法(RTM)于求解基于Reissner理论的厚矩形板的弯曲问题，给出了二对边简支另两边固定厚矩形板在均布载荷作用下弯曲的精确解析解，并分析了解的数值结果． 相似文献
16.
The dynamic response of an infinite beam placed on a Pasternak foundation when the system was subjected to a moving load was investigated. We used the double Fourier transform and its inversion to solve the formulations of the problem. A closed form analytic solution of the beam was obtained by the theorem of residues. We selected a numerical example to illustrate the dynamic response of the beam on Pasternak and Winkler foundations, respectively. We discuss the effect of the moving load velocity on the dynamic displacement response of the beam. The maximum deflection of the beam increases slightly with increased load velocity but increases significantly with reduced shear modulus of subgrade at a given velocity. The maximum deflection of a beam resting on a Pasternak foundation is much smaller than that of a beam on a Winkler foundation. 相似文献
17.
The symplectic approach proposed and developed by Zhong et al. in 1990s for elasticity problems is a rational analytical method, in which ample experience is not needed as in the conventional semi-inverse method. In the symplectic space, elasticity problems can be solved using the method of separation of variables along with the eigenfunction expansion technique, as in traditional Fourier analysis. The eigensolutions include those corresponding to zero and nonzero eigenvalues, The latter group can be further divided into α- and β-sets. This paper reformulates the form of β-set eigensolutions to achieve the stability of numerical calculation, which is very important to obtain accurate results within the symplectic frame. An example is finally given and numerical results are compared and discussed. 相似文献
18.
利用辛几何构作了一个non-Cartesion认证码，计算了它的参数；当编码规则按等概率分布选取时，求出了模仿攻击和替换攻击成功的概率． 相似文献
19.
With the terms of the exact series solution taken as trial functions, the method of point collocation was used to calculate the large deflection of a circular plate. The axisymmetrical bending formulae were developed for the calculation of a circular plate subjected to polynomial distributed loads, a concentrated load at the center, uniform radial forces and moments along the edge or their combinations. The support may be elastic. The buckling load was calculated. Under action of uniformly distributed load, central load or their compound load, solutions were compared with those obtained by other methods, Buckling beyond critical thrust was compared with that calculated by the power series method. The method presented in this paper has advantages of wide convergent range, high precision and short computing time. Moreover, the computing time is nearly independent of the complexity of the loads. 相似文献