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1.
The finite-difference method is a numerical technique for obtaining approximate solutions to differential equations. The main
objective of the present study is to give a new aspect to the finite-difference method by using a variational derivative.
By applying this formulation, accurate values of the buckling loads of beams and frames with various end supports are obtained.
The performance of this formulation is verified by comparison with numerical examples in the literature
__________
Published in Prikladnaya Mekhanika, Vol. 41, No. 7, pp. 139–144, July 2005. 相似文献
2.
We consider the plane-strain buckling of a cylindrical shellof arbitrary thickness which is made of a Varga material andis subjected to an external hydrostatic pressure on its outersurface. The WKB method is used to solve the eigenvalue problemthat results from the linear bifurcation analysis. We show thatthe circular cross-section buckles into a non-circular shapeat a value of µ1 which depends on A1/A2 and a mode number,where A1 and A2 are the undeformed inner and outer radii, andµ1 is the ratio of the deformed inner radius to A1. Inthe large mode number limit, we find that the dependence ofµ1 on A1/A2 has a boundary layer structure: it is constantover almost the entire region of 0 < A1/A2 < 1 and decreasessharply from this constant value to unity as A1/A2 tends tounity. Our asymptotic results for A1 1 = O(1) and A1 1 = O(1/n) are shown to agree with the numerical resultsobtained by using the compound matrix method. 相似文献
3.
4.
复合载荷下圆底扁球壳非线性稳定性 总被引:3,自引:2,他引:1
本文采用半解析方法研究在中心分布载荷及中心集中力联合作用下,圆底扁球壳的非线性稳定性问题.避免了求近似解析解时繁重的人工计算,而p-W_m特征关系仍可由显式表达. 相似文献
5.
Optimization of plate buckling resistance is very complicated, because the in-plane stress resultants in the prebuckled state of a plate are functions of thickness distribution. This paper discusses the problem of finding the optimum thickness distribution of isotropic plate structures, with a given volume and layout, that would maximise the buckling load. A simple numerical method using the finite-element analysis is presented to obtain the optimum thickness distribution. Optimum designs of compression-loaded rectangular plates with different boundary conditions and plate aspect ratios are obtained by using the proposed method. Optimum designs from earlier studies and the methods of buckling analysis used to attain these results are discussed and compared with the designs from the proposed method. This paper also examines the reliability of the optimality criterion generally used for plate buckling optimization, which is based on the uniform strain energy density. 相似文献
6.
轧制带材的瓢曲生成路径 总被引:2,自引:1,他引:1
通过建立冷轧带材屈曲失稳后的大位移变形模型,计算出复杂模态的瓢曲浪形生成路径,它包含着实际可能出现的各种附加应力和位移约束条件.实验证明这是可行的板形控制目标理论,解决了高技术轧机的板形设定问题. 相似文献
7.
An energy theory is proposed on the buckling of a ferromagnetic thin plate in a transverse static magnetic field. The analytic
solution of critical field for plates is obtained by using variational method. It is shown that the critical magnetic field
is not only influenced by the ratio of the thickness to the length, but also by the width, total length and the magnetic susceptibility
of the specimen. Theoretical calculations agree with experiments reasonably. 相似文献
8.
研究钢筋混凝土薄钢板剪力墙在侧向力作用下的弹性掘曲临界载荷计算问题,提出了相应的计算模型,导出了计算公式,并与相应实验结果比较,符合良好。 相似文献
9.
埋藏式钢管的抗外压稳定研究 总被引:5,自引:0,他引:5
应用壳体稳定理论结合某一工程实例研究了圆形加劲环式钢管和锚筋式钢管的抗外压稳定问题。首先分析了非对称外压对失稳荷载的影响;其次根据壳体稳定分析结果对锚筋式和加劲环式钢管的失稳形态和影响因素进行了分析,并对现有计算公式进行了评述。结果表明,对锚筋式和加筋环式钢管采用本文提出的按壳体稳定理论建立的有限元计算公式是可靠合理的。 相似文献
10.
Omar Deeb Prof. Monika Leibscher Dr. Jörn Manz Prof. Wulf von Muellern Tamar Seideman Prof. 《Chemphyschem》2007,8(2):322-328
We propose an approach for separating nuclear spin isomers with coherent light and illustrate it by numerical calculations using fulvene as a model system. The scheme employs the equivalence of torsion and interchange of equivalent H-atoms in a class of molecules of which fulvene is a simple example. The exchange symmetry couples with the rotational symmetry to produce a spatial distinction between the two photo-excited nuclear spin isomers, and wavepacket interferometry is applied to separate the species. 相似文献