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101.
102.
103.
In this paper, we study the multiscale finite element discretizations about the biharmonic eigenvalue problem of plate buckling. On the basis of the work of Dai and Zhou (SIAM J. Numer. Anal. 46[1] [2008] 295‐324), we establish a three‐scale scheme, a multiscale discretization scheme, and the associated parallel version based on local defect correction. We first prove a local priori error estimate of finite element approximations, then give the error estimates of multiscale discretization schemes. Theoretical analysis and numerical experiments indicate that our schemes are suitable and efficient for eigenfunctions with local low smoothness. 相似文献
104.
Summary We explore the relation between the classical continuum model of Euler buckling and an iterated mapping which is not only
a mathematical discretization of the former but also has an exact, discrete mechanical analogue. We show that the latter possesses
great numbers of “parasitic” solutions in addition to the natural discretizations of classical buckling modes. We investigate
this rich bifurcational structure using both mechanical analysis of the boundary value problem and dynamical studies of the
initial value problem, which is the familiar standard map. We use this example to explore the links between discrete initial
and boundary value problems and, more generally, to illustrate the complex relations among physical systems, continuum and
discrete models and the analytical and numerical methods for their study. 相似文献
105.
The stability of elastic columns subjected to axial pressure is studied. An elastic multistepped column with rectangular cross
sections are considered assuming that at the re-entrant corners of the column stable cracks are located. The influence of
a crack on the loss of stability of the column is described by means of local flexibility and the function of compliance coupled
with the stress intensity factor, which is known from the linear elastic fracture mechanics. A column with a single step is
studied in more detail. The influence of crack location and length on the buckling load is assessed numerically.
Russian translation published in Mekhanika Kompozitnykh Materialov, Vol. 42, No. 1, pp. 87–100, January–February, 2006. 相似文献
106.
Ying-Jian Wang 《Acta Mechanica Solida Sinica》1991,4(4):449-455
A theoretical model and an analytical method, which are suitable for initial elastic buckling analysis of two-dimensional honeycomb structures including hexagonal honeycombs with walls of equal or unequal thickness, rectangular and triangular honeycombs etc., are developed in this paper. The results given in present paper agree well with the experimental data of hexagonal honeycombs with walls of unequal thickness.The project was supported by National Natural Science Foundation of China. 相似文献
107.
Dragic BANKOVIC 《数学学报(英文版)》2007,23(5):945-950
In a previous paper, we have described all reproductive general solutions of a Post equation, supposing that a general solution is known. In this paper we describe all general solutions of Post equation, supposing that a general solution of this equation is known (Theorem 6). As a special case we get the previous characterization of reproductive solutions and a similar result for Boolean equations (Theorem 9). 相似文献
108.
Although most of the plates in steel structures are rectangular, some triangular ones do occur. The number of available solutions for triangular plate buckling coefficients is small, and restricted to special triangle geometries and loading ratios. In this paper the range of available solutions is extended by the use of a plate bending finite element devised by Irons. A range of plate parameters is considered and results are tabulated and plotted. The program is available for the use of designers who wish to consider other values of parameters. The use of the procedures described in the Merrison report can extend these results to deal with the influence of initial imperfections and weld effects. 相似文献
109.
I.IntroductionSinceelasticunloadingoccursinthedeformationprocess,theimperfectionsensitivityanalysisofstructuresloadedintotheplasticrangeismuchcomplicated.TheproblemisfirststudiedintheorybyHutchinson(1973,1974)l"ZI.HeusedKoiter'stheorytoanalysethebehaviorpriortotheonsetofelasticunloadingandtoobtaintheloadandthedisplacementatwhichelasticunloadingbegins.NeedlemanandTvergaard(1982)l'jpresentedananalysisofimperfeCtionsensitivityintheplasticrangethatignoreselasticunloading,thatis,substituteshypo-… 相似文献
110.
圆柱壳在径向冲击载荷作用下的弹性脉冲屈曲 总被引:2,自引:0,他引:2
当圆柱壳承受径向脉冲载荷时,如果其径厚比大于一特定值,圆柱壳将产生弹性动力屈曲.本文根据有关实验结果,假定变形模态,采用Lagrange方法分析了有限长薄圆柱壳(a/h=480)在余弦冲击载荷作用下的弹性脉冲动力屈曲.导出了动力屈曲方程组,借助数值方法求解方程,并与有关计算结果进行了比较. 相似文献