共查询到20条相似文献,搜索用时 15 毫秒
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The formulation and development of a numerical algorithm for solving shell theory problems concerning cylindrical shells with
variable-stiffness reinforcements are considered. The Hamilton-Ostrogradskii variational principle is used to obtain the equation
of motion. The algorithm is based on finite-difference approximation of the initial variational functional. A numerical example
is presented.
S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kiev, Ukraine. Translated from Prikladnaya
Mekhanika, Vol. 34, No. 6, pp. 53–59, June, 1999. 相似文献
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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
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Translated from Prikladnaya Mekhanika, Vol. 42, No. 5, pp. 50–56, May 2006. 相似文献
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A dynamic problem for a cylindrical shell on an elastic foundation is formulated. A numerical algorithm for solving this problem
is outlined. The results obtained are analyzed
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Translated from Prikladnaya Mekhanika, Vol. 43, No. 12, pp. 103–109, December 2007. 相似文献
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ON THE GENERAL SOLUTION OF CYLINDRICAL SHELL EQUATIONSPeterYiXue(薛毅);XueDawei(薛大为)(ReceivedOct.16,1995)Abstract:Itisprovedmat... 相似文献
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Erik B. Hansen 《Journal of Elasticity》1977,7(3):283-305
A method is described for determining the stresses in perforated cylindrical shells. The method is applicable to cases where several holes of arbitrary form are present. The problem is formulated as a system of four coupled integral equations together with a number of compatibility relations in integral form. A numerical procedure for solving the equations is also described and some simple applications of the method including the case of one elliptical hole with arbitrary orientation relative to the generators are presented.
Zusammenfassung Eine Methode zur Berechnung der Spannungen in zylindrischen Schalen mit Löchern willkürlicher Form wird beschrieben. Das Problem ist als ein System von vier gekuppelten Integralgleichungen mit einer Anzahl von Kompatibilitätsbedingungen auf Integralform formuliert. Ein numerisches Verfahren zur Lösung der Gleichungen ist beschrieben und auf einfache Rechnungsbeispiele angewandt, darunter der Fall, dass ein elliptisches Loch vorhanden ist, dessen Orientierung bezüglich der Erzeuger willkürlich ist.相似文献
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A THEORETICAL SOLUTION OF CYLINDRICAL SHELLS FOR AXISYMMETRIC PLAIN STRAIN ELASTODYNAMIC PROBLEMS 总被引:1,自引:0,他引:1
IntroductionTheanalysisfordynamicproblemofelasticbodieshasbeenstudiedformanyyears.Basedonthemomentlessthinshelltheory ,HuthandCole[1]studiedthestresswaveinasphericalshellproducedbypressureloadsin 1 955.Mcivor[2 ]discussedtheflexuralstressandmembranestressina… 相似文献
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A method is developed for the transient responses of axisymmetric plain strain problems of cylindrical shells subjected to
dynamic loads. Firstly, a special function was introduced to transform the inhomogeneous boundary conditions into the homogeneous
ones. Secondly, using the method of separation of variables, the quantity that the displacement subtracts the special function
was expanded as the multiplication series of Bassel functions and time functions. Then by virtue of the orthogonal properties
of Bessel functions, the equation with respect to the time variable was derived, of which the solution is easily obtained.
The displacement solution was finally obtained by adding the two parts mentioned above. The present method can avoid the integral
transform and is fit for arbitrary loads. Numerical results are presented for internally shocked isotropic and cylindrically
isotropic cylindrical shells and externally shocked cylinders, as well as for an externally shocked, cylindrically isotropic
cylindrical shell that is fixed at the internal surface.
Contributed by Ding Hao-jiang
Foundation item: the National Natural Science Foundation of China (10172075)
Biography: Ding Hao-jiang (1934-) 相似文献
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S. E. Alexandrov E. A. Lyamina 《Journal of Applied Mechanics and Technical Physics》2011,52(4):657-663
A criterion of ductile fracture is proposed, which takes into account the singular character of theoretical solutions near
the maximum friction surfaces and the emergence of a thin layer with intense plastic strains near surfaces with high friction
stresses in real processes of metal forming. The equation for the thickness of the layer with intense plastic strains and
the fracture criterion include the strain rate intensity factor, apparently, characterizing the intensity of physical processes
that occur in a thin material layer near the friction surfaces. Some experimental data are used to determine the thickness
of this layer. The ductile fracture criterion is analyzed by solving the problem of strip extrusion under conditions of plane
strain deformation. 相似文献
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A finite-element algorithm is proposed for the analysis of the thermoviscoelastoplastic stress-strain state of bodies under
complex loading (thermal and mechanical). It is assumed that an arbitrary element of the body deforms along a rectilinear
or slightly curved path. The three-dimensional stress-strain state of the body’s elements is determined using the iterative
method of additional strains. The technique is tested by analyzing the three-dimensional viscoelastic stress-strain state
of a hollow cylinder and the thermoplastic state of a disk
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Translated from Prikladnaya Mekhanika, Vol. 42, No. 5, pp. 16–25, May 2006. 相似文献
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