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V. N. Paimushin 《Mechanics of Solids》2007,42(3):437-446
Stability problems for cylindrical shells under various loading modes were considered in numerous papers. A detailed analysis of such problems can be found, e.g., in the monograph [1]. We refer to the solutions presented in this monograph as classical.For long cylindrical shells in axial compression, one of the buckling modes is the purely beam flexural mode similar to the classical buckling mode of a straight rod. It is well known that it can be studied by using the nonlinear or linearized equations of the membrane theory of shells. In [2], it was shown that, on the basis of such equations constructed starting from the noncontradictory version of geometrically nonlinear elasticity relations in the quadratic approximation [3], under the separate action of the axial compression, external pressure, and torsion, there are also previously unknown nonclassical buckling modes, most of which are shear ones.In the present paper, we show that the use of the above equations for cylindrical shells under compression and external pressure with simultaneous pure torsion or bending permits revealing the earlier unknown torsional, beam flexural, and beam torsional-flexural buckling modes, which are nonclassical, just as those found in [2]. The second of these buckling modes is realized when axially compressing forces are formed in the shell with simultaneous torsion, and the third of them is realized under compression combined with pure bending.It was found that, earlier than the classical buckling modes, the torsional buckling modes can be realized for relatively short shells with small shear rigidity in the tangent plane, while the second and third buckling modes can be realized for relatively long shells. 相似文献
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International Applied Mechanics - 相似文献
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S. G. Saksonov 《International Applied Mechanics》1970,6(10):1131-1134
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Axisymmetrical snap buckling of a clamped shallow spherical shell with initial deformation and subject to uniform pressure is analysed based on the finite-deformation theory. As a refinement to analyses given in the author's previous papers, a variable term in the deformation pattern is introduced and Galerkin's method is applied to the non-linear simultaneous differential equations, so that upper buckling pressures are obtained as a function of the geometrical parameter α. Non-uniqueness of solution is shown in the region of larger values of α, where the higher order of deformation mode takes place. Stability of a number of possible equilibrium states is checked by use of the second variation of total potential energy to clarify the actual buckling process. The remark- able decrease of buckling pressure is reasonably explained by introducing a small initial deflection, which explains the discrepancy between the classical buckling pressure and experimental results. 相似文献
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充满液体弹塑性圆柱壳轴向冲击屈曲的数值模拟 总被引:4,自引:0,他引:4
基于对充满液体的弹塑性圆柱壳轴向冲击屈曲的实验观察 ,建立了相应的计算模型 ,借用 LS-DYNA软件包 ,在 HP-C36 0工作站上完成了数值模拟 ,得到了动画显示 ,给出的屈曲模态及一些特征量的时程曲线与实验结果相当一致。文中对壳的几何、物理参数对屈曲性能的影响进行了较详细的讨论 相似文献
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Based on the boundary layer theory for the buckling of thin elastic shells suggested in ref. [14]. the buckling and postbuckling
behavior of clamped circular cylindrical shells under lateral or hydrostatic pressure is studied applying singular perturbation
method by taking deflection as perturbation parameter. The effects of initial geometric imperfection are also considered.
Some numerical results for perfect and imperfect cylindrical shells are given. The analytical results obtained are compared
with some experimental data in detail, which shows that both are rather coincident. 相似文献
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V. M. Kornev V. N. Solodovnikov 《Journal of Applied Mechanics and Technical Physics》1972,13(2):214-218
An analysis is presented of the interaction between longitudinal and transverse motions of a circular cylindrical shell under impact on the end surface. At infinite and finite velocities of perturbation propagation along the generatrix this analysis reveals the instability modes in the shell which build up fastest and are similar to those revealed if the buckling process at a finite velocity of perturbation propagation were described in the real time of compressive loading action. It is established that a cylindrical shell under intensive loading can be simulated by a rod under longitudinal impact (the similarity parameters are indicated). This conclusion is confirmed by a comparison with experimental results.Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 2, pp. 95–100, March–April, 1972. 相似文献