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1.
An approach is proposed for refined solution of stress problems for elastic systems consisting of coaxial shells of revolution. Transverse shear and reduction are taken into account. Multivariant calculations made for orthotropic cylindrical shells with elliptical end-plates allow us to analyze the influence of the semiaxis ratio and intermediate supports on the stress–strain state of the shell systems under consideration 相似文献
2.
An approach is proposed to analyze the stress state of thin shells of revolution under centrifugal loads with regard for anisotropy, the meridional variability of geometrical and mechanical parameters, and the eccentricity of the axis of revolution relative to the axis of geometric symmetry. Allowance is also made for the change in the dimensions of the shell due to deformation, which results in a nonaxisymmetric distribution of stresses and strains and their nonlinear dependence on the squared frequency of rotation. By separating variables, the problem is made one-dimensional and then solved numerically. The stress state of an ellipsoidal filament-winded composite shell is analyzed 相似文献
3.
Consideration is given to the solution of a dynamic problem for a solid of revolution with an arbitrary meridional section under impulsive thermomechanical loading inducing elastoplastic strains. The theory of small elastoplastic deformations is used. The constitutive equations are linearized by the variable-parameter method. The unloading process is described by a linear law. The solution technique involves the finite-element approximation in spatial coordinates and the finite-difference representation of time derivatives. Based on the principle of linear summation, recurrent relations are derived for successive evaluation of nodal displacements by an explicit scheme in time. Solution for cylinders and disks are presented to illustrate the influence of elastoplastic deformations on wave processes 相似文献
4.
V. G. Savchenko 《International Applied Mechanics》2003,39(6):713-720
A technique for analysis of the temperature fields and the stress state of isotropic and orthotropic laminated bodies of revolution under nonaxisymmetric loading is described. The influence of the direction of the principal anisotropy axes in a rectilinearly orthotropic material on the stress state of a three-layer body of revolution under nonaxisymmetric loading is studied 相似文献
5.
A method is proposed for determining the thermoelastoplastic stress–strain state of laminated shells of revolution, made of isotropic and transversely isotropic materials, under axisymmetric loading. The method is based on the Kirchhoff–Love hypotheses for a layer stack, the theory of deformation along paths of small curvature for isotropic materials, and Hill's flow theory with isotropic hardening for transversely isotropic materials. The loading history is accounted for. The problem is solved by the method of successive approximations. Numerical examples are given 相似文献
6.
This paper addresses the class of stress–strain problems for thin orthotropic cylindrical shells of arbitrary cross section under centrifugal loads. Separating out the variables for a simply supported shell yields a system of ordinary differential equations for which the boundary-value problem is solved by a stable numerical method. Study is made of the distribution of displacements in shells of elliptical cross section versus the ratio of ellipse exes and the eccentricity of the axis of revolution relative to the geometrical axis of symmetry 相似文献
7.
An approach is expounded to the study of the bifurcation stability of doubly curved shells of revolution. The microdamage of an isotropic material is considered as empty spherical pores randomly dispersed over the volume, their concentration increasing with load. A damaged inhomogeneous material is modeled by a continuous physically nonlinear medium whose nonlinear deformation depends on how the material fails and the microstrength is distributed. A bifurcation stability problem is formulated based on the concept of continuous loading within the framework of the Kirchhoff–Love hypotheses. As an example, a solution is given to the stability problem on shells of positive Gaussian curvature under external uniform pressure 相似文献
8.
A technique is developed for determining the thermoviscoplastic state of shells of revolution with allowance for creep damage. The technique is based on the hypotheses of rectilinear element and the theory of deformation along paths of small curvature. The equivalent stress appearing in the kinetic equations of damage and creep is determined using a creep-rupture criterion that accounts for the stress mode and the level of irreversible strains. The technique is tested by determining the thermoviscoplastic state and time to failure of tubular specimens under a tensile force and a torque 相似文献
9.
从锥壳理论出发,导出计算旋转壳自由振动的一阶微分方程组,采用离散变量法进行求解。对于经线出现尖角及具有分支结构的情况,介绍了相应的处理方法。 相似文献
10.
The bifurcation-stability problem for shells of revolution made of fibrous composite with damageable matrix is formulated
and solved. Increase in the damage of the matrix under loading is taken into account
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Translated from Prikladnaya Mekhanika, Vol. 41, No. 10, pp. 75–83, October 2005. 相似文献
11.
The paper presents a technique for thermoelastoplastic stress–strain analysis of flexible laminated shells of revolution under complex axisymmetric loading. The constitutive deformation equations are used to describe loading along arbitrary plane paths. The problem is solved by the method of successive approximations. A numerical example is given 相似文献
12.
The deformation of flexible multilayer circular cylindrical shells of variable stiffness is studied under a refined theory that accounts for the inhomogeneity of transverse shear strains. The effect of variation in the thickness at constant weight on the stress–strain state of a shell is analyzed 相似文献
13.
This paper is a numerical study into the joint effect of two factors of asymmetry—ellipticity and eccentricity—on the stress distribution near a hole. As a rule, this effect increases the maximum stresses. The deformation mode is determined in this case by the dominating factor. It is found out that the graphs of stress distribution around a small hole have a fixed point at which they intersect when the axial ratio varies within a wide range, which is typical of a central hole 相似文献
14.
An approach is proposed to solve static problems for corrugated nonthin cylindrical shells applying spline-approximation in the longitudinal direction and a stable numerical method in the circumferential direction. Solutions are presented in the form of plots and tables for isotropic and transversely isotropic shells of constant and variable thickness__________Translated from Prikladnaya Mekhanika, Vol. 41, No. 1, pp. 18–24, January 2005. 相似文献
15.
The photoelastic method is used to analyze the stress–strain state induced by an impulsive load in an orthotropic plate with circular holes. The distribution of dynamic stress concentration factors along the periphery of the holes is studied, and stresses and strains in representative sections are determined 相似文献
16.
A spatial model and a refined model based on the straight-line hypothesis are used to analyze the stress state of nonthin
elliptic cylindrical shells with certain end conditions for different thicknesses and aspect ratios. The results obtained
are compared, and the validity range of the refined model is established
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Translated from Prikladnaya Mekhanika, Vol. 42, No. 8, pp. 44–57, August 2006. 相似文献
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P. S. Koval'chuk N. P. Podchasov V. V. Kholopova 《International Applied Mechanics》2003,39(3):312-317
Consideration is given to a nonlinear problem on the nonstationary deformation of cylindrical shells filled with a perfect incompressible liquid and subjected to radial pulse loading distributed along a part of the lateral surface 相似文献
20.
针对磁场环境中受机械载荷作用变厚度载流旋转壳体热磁弹性问题,基于薄壳的几何方程、物理方程、运动方程、电动力学方程,建立其热磁弹性基本方程.应用线性化方法,得到了关于热磁弹性问题的线性迭代方程,转化为包括8个基本未知量的标准型方程组.关于载流旋转壳体,给出Lorentz力表达式,导出了温度场及温度场积分特征值.分析了变厚度锥形旋转壳体应力、温度及变形随外加电磁参量的变化规律,并通过数值模拟对理论分析进行了验证.研究结果可为载流旋转壳体热磁弹性问题研究提供理论参考. 相似文献