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81.
A method is developed for analysis of the elastoplastic stress-strain state of laminated shells of revolution under axisymmetric
loading. The shells are made of isotropic and transversally isotropic materials with different moduli. The method is based
on the Kirchhoff-Love hypotheses for the whole laminate, the theory of deformation along paths of small curvature (for isotropic
materials), and the theory of elasticity with different tensile and compressive moduli (transversely isotropic materials).
The problem is solved by the method of successive approximations. Numerical examples are given
__________
Translated from Prikladnaya Mekhanika, Vol. 41, No. 8, pp. 88–96, August 2005. 相似文献
82.
The paper presents a technique for numerical analysis of the elastoplastic stress-strain state of flexible laminated shells
of revolution made of isotropic and transversely isotropic materials and subjected to axisymmetric loading and heating. The
technique is based on the Kirchhoff-Love hypotheses for the whole laminate. The deformation of the isotropic materials is
described using the theory of deformation along paths of small curvature. The deformation of the transversely isotropic material
is described using the flow theory with isotropic hardening. The process of loading is divided into steps at each of which
the stress-strain state is determined by the method of successive approximations. A numerical example is given
__________
Translated from Prikladnaya Mekhanika, Vol. 42, No. 12, pp. 76–86, December, 2006. 相似文献
83.
A method is proposed for the numerical analysis of the thermoelastoplastic stress-strain state of laminated shells of revolution, made of isotropic and orthotropic 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 Hills theory of flow with isotropic hardening for orthotropic materials. The problem is solved by the method of successive approximations. A numerical example is given.__________Translated from Prikladnaya Mekhanika, Vol. 40, No. 12, pp. 84–91, December 2004. 相似文献
84.
从Donnell圆柱壳方程出发,利用复变函数与保角映射的方法,将圆柱壳展开面上的开孔边界线保角晨射成单位圆,并在映射平面上给出了逼近大开孔圆柱壳方程解答的完备函数逼近序列,进而利用边界条件和正交函数展开的方法得到了自由孔边应力集中系数的表达式,最后,对具有开孔率的圆柱壳在不同荷载条件下的自由孔口边界上的应力集中的系数进行了计算,此种方法,同时研究圆柱壳开非圆大孔和接管等问题提供了可能性。 相似文献
85.
86.
高速荷载下多孔饱和地基的动力响应 总被引:8,自引:0,他引:8
研究高速荷载作用下梁与多孔饱和半空间的动力响应。由Fourier变换求解多孔饱和固体的动力基本方程,根据梁与半空间的接触条件得出多孔饱和半空间上梁的垂直位移的表达式。文中的数值算例考虑了荷载移动速度对梁的动力位移的影响,并与相应的弹性半空间问题作了对比。从算例中可以发现荷载移动速度对动力位移有很大的影响,当移动速度与半空间的表面波速相近时,地面会当产生很大的振动,同时还发现当速度大于介质的剪切波速时,多孔饱和半空间上梁的动力响应与弹性半空间上梁的动力响应有很大的差别。 相似文献
87.
I. A. Lukovskii 《International Applied Mechanics》2004,40(10):1092-1128
A variational approach to solving linear and nonlinear problems for a body with cavities partially filled with a perfect incompressible fluid is enunciated. The approach applies a nonclassical variational principle to describe the spatial motion of a finite fluid with a free surface and the classical variational principle, which is widely used in rigid body dynamics. These principles are used to formulate variational problems that are the basis of direct methods of solving nonlinear and linear dynamic problems for body-fluid systems. The approach allows us to derive an infinite system of nonlinear ordinary differential equations describing the joint motion of the rigid body and fluid and to develop an algorithm for determining the hydrodynamic coefficients. Linearized differential equations of motion of the mechanical system are presented and approximate methods are given to solve linear boundary-value problems and to determine the hydrodynamic coefficients.Translated from Prikladnaya Mekhanika, Vol. 40, No. 10, pp. 37–77, October 2004.The study was partially sponsored by the German Research Fund (der Deutsche Forschungsgemeinschaft), Grant 436 UKR113/33/0-3. 相似文献
88.
Based on the deformation hypothesis of Timoshenko's plates and the Boltzmann's superposition principles for linear viscoelastic materials, the nonlinear equations governing the dynamical behavior of Timoshenko's viscoelastic thick plates with damage are presented. The Galerkin method is applied to simplify the set of equations. The numerical methods in nonlinear dynamics are used to solve the simplified systems. It could be seen that there are plenty of dynamical properties for dynamical systems formed by this kind of viscoelastic thick plate with damage under a transverse harmonic load. The influences of load, geometry and material parameters on the dynamical behavior of the nonlinear system are investigated in detail. At the same time, the effect of damage on the dynamical behavior of plate is also discussed. 相似文献
89.
This paper presents a new class of globally asymptotic stabilizing control laws for dynamics and kinematics attitude motion of a rotating rigid body. The rigid body motion is controlled with the help of a rotor system with internal friction. The Lyapunov technique is used to prove the global asymptotic properties of the stabilizing control laws. The obtained control laws are given as functions of the angular velocity, Cayley–Rodrigues and Modified-Rodrigues parameters. It is shown that linearity and nonlinearity of the control laws depend not only upon the Lyapunov function structure but also the rotors friction. Moreover, some of the results are compared with these obtained in the literature by other methods. Numerical simulation is introduced. 相似文献
90.