共查询到20条相似文献,搜索用时 15 毫秒
1.
Assuming the deformation of the shell has an axial symmetrical form, we transform Marguerre's equations into difference equations, and use these equations to discuss the buckling of an elastic thin shallow spherical shell subjected to impact loads. The result shows when impact load acts on the shells, a jump of the shell takes place dependent on the values λ and the critical buckling load increases with the enlargement of the loading area. 相似文献
2.
The catastrophe theory is used to study the impact buckling of elastic structures. A criterion for impact buckling is established based on the proposed catastrophe system, in whose bifurcation set the critical step load is located. By the present theory, the impact torsional buckling for a clamped cylindrical shell is studied and the critical step torques for different imperfections are given. Also, the static critical torque is given, and it is shown that the critical step torque is smaller than the critical static torque.The project is supported by National Natural Science Foundation of China 相似文献
3.
By using the energy criterion in[3],the impact torsional buckling for the rigid plastic cylindrical shell is studied.The linear dynamic torsional buckling equations for the rigid plastic shell is drived,and the critical impact velocity is given. 相似文献
4.
In the paper the axi-symmetrical thermoelastic stability of free double-layered spherical shells at uniform temperature is considered. The basic equations are derived from Reissner's theory of thin shells and assumptions that materials of the layers are linear thermoelastic. The conditions for the buckling of shells are determined. The temperature-deflection diagrams are calculated by using the collocation method. 相似文献
5.
A perturbation analysis for the impact torsional buckling of imperfective elastic cylindrical shells subjected to a step torque is given..The imperfection is supposed to be small and has arbitrary form.It is shown that only the imperfection which has the shape of static torsional buckling mode could influence the critical step torque.Finally a formula is presented for the critical step torque. 相似文献
6.
PLASTICBUCKLINGOFSTIFFENEDTORISPHERICALSHELLHaoGang(郝刚)ZengGuangwu(曾广武)HaoQiang(郝强)(ReceivedDec.30,1994:CommunicatedbyPanLizh... 相似文献
7.
The experimental phenomenon and theoretical analysis are given for the torsional buckling of elastic cylindrical shells. From the experiment, it is found that the postbuckling deformation doesn't occupy the whole length when the shell is longer. In the theoretical calculation, only the normal displacement boundary condition is taken into account. By comparing the present calculation results with the accurate result of Yamakis theory and the results of the present experiment, it is shown that the influence of the axial and circumference boundary condition is less important. 相似文献
8.
Using a semi-analytical method,the nonlinear stability of a spherical shallow shellunder centrally distributed and concentrated loads is investigated in this paper.The longermanual calculation has been avoided when finding the approximate solution,and the P-Wmcharacteristic relation can be given analytically. 相似文献
9.
张音翼 《应用数学和力学(英文版)》1999,20(4):426-432
IntroductionImportantaplicationsofthestabilityanalysisofshelscanbefoundinthemodernengineringrangingovertheaerospace,marine,ar... 相似文献
10.
对钢质和铜质金属圆柱壳的轴向冲击动力响应进行了实验研究,记录了两种不同材料圆柱壳在大质量低速冲击下的冲击力时程曲线,得到其屈曲模态。采用高速摄像及模拟技术给出了钢质圆柱壳渐进屈曲的全过程,为理解钢质圆柱壳的屈曲机理提供了直观的结果。黄铜质圆柱壳在大质量低速冲击下, 出现整个壳面滿布屈曲波纹的塑性动力屈曲现象,说明高速冲击不是产生塑性动力屈曲的充要条件。像铜这样具有高密度的韧性材料,在大质量低速冲击下,会在轴向产生持续的压缩塑性流作用而出现塑性动力屈曲现象。 相似文献
11.
12.
D.Karagiozova 《Acta Mechanica Sinica》2012,28(3):695-710
The deformation and snap-through behaviour of athin-walled elastic spherical shell statically compressed on aflat surface or impacted against a flat surface are studied theoretically and numerically in order to estimate the influenceof the dynamic effects on the response.A table tennis ballis considered as an example of a thin-walled elastic shell.Itis shown that the increase of the impact velocity leads to avariation of the deformed shape thus resulting in larger deformation energy.The increase of the contact force is causedby both the increased contribution of the inertia forces andcontribution of the increased deformation energy.The contact force resulted from deformation/inertia ofthe ball and the shape of the deformed region are calculated by the proposed theoretical models and compared withthe results from both the finite element analysis and somepreviously obtained experimental data.Good agreement isdemonstrated. 相似文献
13.
康盛亮 《应用数学和力学(英文版)》1995,16(5):461-474
A problem of practical interest for nonlinear axisymmetrical stability of a truncated shallow spherical shell of the large
geometrical parameter with an articulated external edge and a nondeformable rigid body at the center under compound loads
is investigated in this paper. By using modified method of multiple scales, the uniformly valid asymptotic solutions of this
boundary value problem are obtained when the geometrical parameter k is large.
Project supported by the National Natural Science Foundation of China 相似文献
14.
IntroductionThestraightcolumnisakindofstructuralcomponentsoftenusedinenginering,itsdynamicbucklinghasbenpaidmuchatentiontofor... 相似文献
15.
Nonlinear dynamic buckling of symmetrically laminated cylindrically orthotropic shallow spherical shells 总被引:9,自引:0,他引:9
Summary In this paper, a model of cusped catastrophe at nonlinear dynamic buckling of a symmetrically laminated cylindrically orthotropic
shallow spherical shell is presented. The shell is subjected to an axisymmetrical load. Effects of transverse shear are taken
into account. Effects of the shear modulus, geometry and parameters of the material on the nonlinear dynamic buckling are
discussed.
Received 2 April 1997; accepted for publication 27 November 1997 相似文献
16.
Frank E. Baginski 《Journal of Elasticity》1991,25(2):159-192
The John equations are used to model the buckling of a simply-supported elastic spherical cap that is subjected to a constant uniform external load . The Liapunov-Schmidt method is used to solve these equations. We show that solutions possessing circular, pear-shaped, elliptical, triangular, square-shaped, pentagonal and a variety of other symmetries branch from the unbuckled state of the shell. The stability of these solutions is discussed. Some numerics that complement the analytical results are also included. 相似文献
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18.
The nonlinear thermal buckling of symmetrically laminated cylindrically orthotropic shallow spherical shell under temperature field and uniform pressure including transverse shear is studied. Also the analytic formulas for determining the critical buckling loads under different temperature fields are obtained by using the modified iteration method. The effect of transverse shear deformation and different temperature fields on critical buckling load is discussed. 相似文献
19.
任意厚度层合闭口柱壳的轴对称温度应力 总被引:5,自引:0,他引:5
基于层合柱壳混合状态方程和边界条件的弱形式,在轴对称情况下,建立了两端固支层合闭口柱壳的温度应力混合方程,给出了任意厚层合柱壳在温度荷载和机械荷载共同作用下的解析解。 相似文献
20.
在轴向应力波传播和反射过程中弹性有限长圆柱壳非对称动态屈曲 总被引:2,自引:0,他引:2
本文讨论弹性有限长圆柱壳端部受冲击载荷作用,在轴向应力波传播和反射过程中的非对称动态屈曲问题。通过建立和求解扰动方程得到了动态屈曲的分叉条件,临界载荷和屈曲模态。数值结果表明:当壳壁厚不很薄时,轴对称屈曲临界载荷比非轴对称临界载荷高;反之,轴对称临界载荷会比非对称临界载荷低;由于应力波的反射,临界载荷降低,因而更容易发生屈曲,屈曲模态也有其不同特点。 相似文献