共查询到20条相似文献,搜索用时 734 毫秒
1.
The exact solutions of the equations of motion derived under refined theories of shells and ribs based on the Timoshenko model
are used to plot dispersion curves for harmonic waves propagating along a cylindrical shell reinforced with discrete longitudinal
ribs
__________
Translated from Prikladnaya Mekhanika, Vol. 42, No. 5, pp. 37–41, May 2006. 相似文献
2.
A technique is proposed to determine the natural frequencies of rib-reinforced cylindrical shells with low shear stiffness. The equations of motion based on the Timoshenko model are used. The influence of the transverse shear moduli of the shell and ribs on the minimum natural frequencies and corresponding modes is studied by way of numerical examples. It is shown that the effect of the discrete ribs is different from that predicted by the classical theory of ribbed shells__________Translated from Prikladnaya Mekhanika, Vol. 41, No. 4, pp. 66–74, April 2005. 相似文献
3.
P. Z. Lugovoi V. F. Meish B. P. Rybakin G. V. Sekrieru 《International Applied Mechanics》2006,42(5):536-540
Dynamic problems for cylindrical shells reinforced with discrete ribs are examined. A numerical algorithm based on Richardson
extrapolation is developed. Specific problems are solved, and the results are analyzed
__________
Translated from Prikladnaya Mekhanika, Vol. 42, No. 5, pp. 50–56, May 2006. 相似文献
4.
The paper gives exact solutions to the stability and vibration problems for nonclosed circular cylindrical shells hinged along
the longitudinal edges and reinforced with a regularly arranged discrete longitudinal ribs. These problems are also solved
approximately in the cases of regularly and quasiregularly arranged ribs
__________
Translated from Prikladnaya Mekhanika, Vol. 44, No. 1, pp. 20–27, January 2008. 相似文献
5.
We obtain exact and approximate solutions to buckling problems for circular cylindrical open shells hinged at all edges and
quasiregularly reinforced with discrete longitudinal ribs. It is shown that analogous solutions to natural-vibration problems
for such shells can easily be found
Translated from Prikladnaya Mekhanika, Vol. 44, No. 12, pp. 83–92, December 2008. 相似文献
6.
A solution is obtained that describes the postbuckling behavior of cylindrical shells in the case of axisymmetric buckling.
The basis for this solution is Koiter’s asymptotic method and the nonlinear equations of the third-order Timoshenko theory
of shells. It is shown that the bifurcation point in this case is a symmetrically unstable one. The effect of the initial
axisymmetric deflections on the buckling loads is weaker when buckling is axisymmetric. The results obtained by Koiter’s special
theory evidence this
__________
Translated from Prikladnaya Mekhanika, Vol. 42, No. 4, pp. 108–118, April 2006. 相似文献
7.
P. Z. Lugovoi V. F. Meish B. P. Rybakin G. V. Sekrieru 《International Applied Mechanics》2006,42(4):455-460
The nonstationary behavior of reinforced compound structures is analyzed within the framework of the geometrically nonlinear
Timoshenko theory of shells and rods. The numerical method used to solve the problem is based on the finite-difference approximation
of the original differential equations. The dynamic behavior of a reinforced compound structure under nonstationary loading
is demonstrated by way of a numerical example. The numerical results are compared with experimental data
__________
Translated from Prikladnaya Mekhanika, Vol. 42, No. 4, pp. 100–107, April 2006. 相似文献
8.
V. A. Zarutskii 《International Applied Mechanics》2000,36(3):367-371
The exact solution of equilibrium equations is found on the assumption that ribs are symmetrical about the middle plane of
a plate and work in bending from this plane. The necessary and sufficient conditions of the applicability of the theory of
structurally orthotropic shells to the solution of the problem are formulated.
This study has been carried out in accordance with Project 614 of the Ukrainian Scientific and Technological Center.
S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kiev. Translated from Prikladnaya Mekhanika,
Vol. 36, No. 3, pp. 90–94, March, 2000. 相似文献
9.
V. A. Zarutskii 《International Applied Mechanics》2000,36(5):559-585
The results of stability analysis of ribbed shells performed on the basis of the techniques developed by I. Ya. Amiro and
his followers are reviewed. Attention is focused on the features of their buckling due to the discrete arrangement of ribs.
S.P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kiev. Translated from Prikladnaya Mekhanika,
Vol. 36, No. 5, pp. 3–31, May, 2000. 相似文献
10.
A finite-difference method was proposed and used for analysis of critical loads of shells that have initial imperfections
of different types, both regular and local. Ribbed shells were analyzed with allowance for the discreteness in the arrangement
of the ribs.
S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kiev. Translated from Prikladnaya Mekhanika,
Vol. 35, No. 12, pp. 33–39, December, 1999. 相似文献
11.
V. P. Maksimenko 《International Applied Mechanics》2003,39(5):599-606
Static problems for smooth and discretely reinforced cylindrical shells under local loads and complex boundary conditions are solved. The stress–strain states of the casing and ribs are determined by the technical theory of shells and the Kirchhoff–Clebsch theory of rods, respectively. The reinforcing elements are arranged eccentrically. They are of equal or different stiffness, which is also variable along the length. The problems are solved using the finite-difference method. Theoretical results obtained from a refined mesh are compared with experimental data 相似文献
12.
A rectangular plate reinforced with longitudinal ribs is considered. The influence of the discrete ribs on the wavenumbers
of harmonic waves propagating along the ribs is investigated. The effect of the stiffness parameters of the ribs on the natural
frequencies and modes of a cross-ribbed plate is studied
__________
Translated from Prikladnaya Mekhanika, Vol. 42, No. 2, pp. 65–78, February 2006. 相似文献
13.
A method of studying the natural vibrations of highly inhomogeneous shells of revolution is developed. The method is based
on a nonclassical theory of shells that allows for transverse shear and reduction. By separating variables, the two-dimensional
problem is reduced to a sequence of one-dimensional eigenvalue problems. The inverse iteration method is used to reduce these
problems to a sequence of inhomogeneous boundary-value problems solved by the orthogonal sweep method. The capabilities of
the method are illustrated by solving certain representative problems and comparing their solutions with those obtained using
the three-dimensional theory of elasticity, the classical theory of shells, and the refined Timoshenko model
__________
Translated from Prikladnaya Mekhanika, Vol. 43, No. 9, pp. 38–47, September 2007. 相似文献
14.
A solution is obtained to describe the stability and initial postbuckling behavior of cylindrical shells made of composites
with one plane of symmetry. The solution is based on the Donnell-Mushtari-Vlasov nonlinear theory of anisotropic shells and
Koiter’s theory of buckling and postbuckling behavior. Calculated results are presented for boron plastic shells with reinforcement
of different types under external pressure. It is shown that the conventional model of a composite as an orthotropic material
is erroneous for many types of reinforcement
__________
Translated from Prikladnaya Mekhanika, Vol. 43, No. 3, pp. 86–103, March 2007. 相似文献
15.
E. K. Ankyanets 《International Applied Mechanics》2005,41(10):1177-1181
The vibrations of a cylindrical shell reinforced with circular ribs attached to it by means of discrete elastic elements are
studied. The problem is solved by the finite-element method. The shell and ribs are modeled by a plane four-node finite element,
which is a combination of a four-node plane stress element and a four-node flexural element. The effect of the stiffness of
the elastic elements on the natural frequencies and modes is examined
__________
Translated from Prikladnaya Mekhanika, Vol. 41, No. 10, pp. 108–113, October 2005. 相似文献
16.
E. P. Kligman I. E. Kligman V. P. Matvienko 《Journal of Applied Mechanics and Technical Physics》2005,46(6):876-882
Variational eigenvalue equations describing vibrations of orthotropic shells containing an ideal incompressible fluid are
obtained. The vibration frequencies are assumed to be small, which makes it possible to use linear equations and to consider
the boundary of the wet surface of the shell to be unchanged. The equations of anisotropic shells are based on the linear
relations of multifield theory, which allows to obtain a more accurate model of anisotropic shells that satisfies the conditions
of the finite-element method. The fluid flow is considered irrotational and is described using the Laplace equation. A finite-element
algorithm is designed to determine the natural frequencies and modes of vibrations of an arbitrary multilayer orthotropic
shell of revolution which is partially filled with an ideal incompressible fluid.
__________
Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 46, No. 6, pp. 128–135, November–December, 2005. 相似文献
17.
Nonlinear vibration analysis of viscoelastic plates based on a refined Timoshenko theory 总被引:2,自引:0,他引:2
B. Kh. Éshmatov 《International Applied Mechanics》2006,42(5):596-605
Nonlinear vibrations of viscoelastic orthotropic and isotropic shells are mathematically modeled using a geometrically nonlinear
Timoshenko theory. Nonlinear problems are solved by using the Bubnov-Galerkin method and a numerical method based on quadrature
formulas. Results obtained from different theories are compared and analyzed. For each problem, the Bubnov-Galerkin method
is tested for convergence. The influence of the viscoelasticity and inhomogeneity of materials on the vibrations of plates
is demonstrated
__________
Translated from Prikladnaya Mekhanika, Vol. 42, No. 5, pp. 120–131, May 2006. 相似文献
18.
The boundary-value problem of unsteady vortex flow of a viscous incompressible fluid in a cylindrical vessel with radial ribs
rotating at a variable angular velocity is solved using a finite-difference method. The results of the solution are used to
calculate the motion of a system of a solid body and a cavity filled with a liquid. The results are compared with available
experimental data.
__________
Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 48, No. 2, pp. 135–139, March–April, 2007. 相似文献
19.
E. K. Ankyanets 《International Applied Mechanics》2005,41(8):924-928
The vibrations of a cylindrical shell reinforced with ring ribs attached to the shell by means of elastic elements are studied.
The problem is solved by the finite-element method. The shell and ribs are modelled by a plane four-node finite element, which
is a combination of a four-node plane stress element and a four-node flexural element. The effect of the stiffness of the
elastic elements on the natural frequencies and modes is examined
__________
Translated from Prikladnaya Mekhanika, Vol. 41, No. 8, pp. 105–110, August 2005. 相似文献
20.
The nonstationary behavior of three-layer cylindrical shells under an axisymmetric loading is considered with the application
of hypotheses to each layer. Independent postulations are proposed for the approximation of displacements and transverse strains
across the thickness of each layer. Reissner's variational principle for dynamic processes is used to derive the motion equations.
The problem of the dynamic deformation of three-layer cylindrical shells under a nonstationary loading is considered in the
case where the ends of the shells are rigidly fixed. The values obtained were compared with those predicted from hypotheses
relating to the whole packet of the structure (the Timoshenko-type theory of multilayered shells).
S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kiev. Translated from Prikladnaya Mekhanika,
Vol. 35, No. 8, pp. 3–9, August, 1999. 相似文献