Stability loss of a series of fibers in an elastic matrix with highly elastic deformation

Ternopol' Branch, L'vov Polytechnic Institute. Translated from Prikladnaya Mekhanika, Vol. 27, No. 7, pp. 47–52, July, 1991.     

Stability of a ribbed cylindrical shell interacting with an elastic foundation

The paper outlines a technique to determine the critical stresses and buckling modes of a ribbed cylindrical shell interacting with an elastic foundation. The stiffness parameters of the foundation are calculated and their effect on the critical stresses and associated modes are analyzed     

Equation of small transverse vibrations of an elastic pipeline filled with a transported fluid

The integro-differential equation of small transverse vibrations of a rectilinear elastic pipeline filled with a transported fluid is obtained. The pipeline vibrations are described in the linear setting in the beam approximation. The mutual dynamic influence of motions of the pipeline and the filling fluid is taken into account. A complete trigonometric series method is presented for solving problems with various boundary and initial conditions for the pipeline deflection.     

Coupled seismic vibrations of a pipeline in an infinite elastic medium

The exact solution of the problem of coupled seismic vibrations of an underground pipeline and an infinite elasticmediumis given. A method dramatically simplifying the solution of the exterior problem for themedium is proposed on the basis of the established theorem on the separation of the boundary conditions for the wave potentials on the surface of the cylinder. The obtained results permit improving the incorrect consideration of the problem accepted in the literature.     

Sound propagation in a plane wave guide with an elastic wall section

Problems of acoustic wave propagation in a plane wave guide whose walls are assumed to be undeformed with the exception of a section of finite length whose bending is described by the thin plate theory equations in the framework of the Kirchhoff-Love hypotheses are considered. The sound-proofing characteristics of the wave guide described and the stability of the forced oscillations of the system considered are investigated. Formulations of the problem of active vibroacoustic protection and the problem for the peristaltic pump are given. Soundproofing in wave guides has been considered in a number of papers, a fairly complete review of which is given in [1].Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza., No. 1, pp. 132–139, January–February, 1986.     

Stability of a two-phase process in an elastic solid

This work investigates the linear stability of an antiplane shear motion which involves a steadily propagating normal planar phase boundary in an arbitrary element of a family of non-elliptic generalized neo-Hookean materials. It is shown that such a process is linearly unstable with respect to a large class of disturbances if and only if the kinetic response function—a constitutively supplied entity which relates the normal velocity of a phase boundary to the driving traction which acts on it—is locally decreasing as a function of the appropriate argument. This result holds whether or not inertial effects are taken into consideration, demonstrating that the linear stability of the relevant process depends entirely upon the transformation kinetics intrinsic to the kinetic response function. The morphological evolution of the interface is then, in an inertia-free setting, tracked for a short time subsequent to the perturbation. It is found that, when the kinetic response function is non-monotonic, the phase boundary can evolve so as to qualitatively resemble the plate-like structures which are found in displacive solid-solid phase transformations.     

Stability of an elastic arch in a rigid cavity

A thin, elastic circular arch, clamped at its ends and constrained in a rigid cavity, is subjected to a uniformly distributed parallel loading. Stability of equilibrium in the large “snap-through” is investigated both analytically and experimentally and good agreement is found to exist between the two modes of investigation. It is concluded that the set of simplifying assumptions introduced in the analysis is justified. Simple analytical results obtained in the paper allow the design of underground shelters under this type of loading.     

Stability of deformation of an elastic layer

Dedicated to Professor B. D. Coleman on his 60^th Birthday     

Stability of an elastic cytoskeletal tensegrity model

An elastic cytoskeletal tensegrity structure composed by six inextensible elastic struts and 24 elastic cables is considered. The model is studied, adopting delay convention for stability. Critical conditions for simple and compound instabilities are defined. Post-critical behavior is also described. Equilibrium states with buckling of the struts are also considered. It is revealed that critical Euler buckling load of the struts is a necessary but not a sufficient condition for the existence of bifurcated equilibrium states, caused by buckling of the struts.     

Stability of a row of noncircular cylinders in an elastic matrix with finite strains

Institute of Mathematics and Mechanics of the Academy of Sciences of the Azerbaidzhan SSR, Baku. Translated from Prikladnaya Mekhanika, Vol. 26, No. 10, pp. 16–21, October, 1990.     

对矩形截面杆弹性自由扭转的探讨

利用柱体扭转问题的经典弹性力学解析解,结合自编电算程序绘制了沿截面控制线上剪应力的分布图,同时利用ANSYS有限元分析软件模拟了等直矩形截面杆的自由扭转问题. 将各种材料力学教材中的截面剪应力分布图与准确计算结果进行了比较,并对截面剪应力分布规律进行了总结.     

Stability of two fibers in an elastic matrix with small strains

International Applied Mechanics -