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Nonlinear stability of corrugated shallow spherical shell

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Wybrane pełne teksty z tego czasopisma
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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In this paper, a nonlinear bending theory for a corrugated shallow spherical shell is constructed. By means of this theory and the modified iteration method, the analytical solution of the critical buckling pressure for a corrugated shallow spherical shell with a rigidly clamped edge under the action of uniform pressure is obtained.
Rocznik
Strony
295--309
Opis fizyczny
Bibliogr. 26 poz., wykr.
Twórcy
autor
  • Institute of Applied Mechanics, Jinan University Guangzhou 510632, P.R.CHINA
autor
  • Institute of Applied Mechanics, Jinan University Guangzhou 510632, P.R.CHINA
Bibliografia
  • [1] Akasaka T. (1955): On the elastic properties of the corrugated diaphragm. - J. Jap. Soc. Aeronaut. Eng., vol.3, pp.22-23 (in Japanese).
  • [2] Andryewa L.E. (1955): The calculation of a corrugated membrane as an anisotropic plate. - Engineer's Collection, vol.21, pp.128-141 (in Russian).
  • [3] Andryewa L.E. (1962): Elastic Elements of Instruments. - Moscow: Masgiz (in Russian).
  • [4] Andryewa L.E. (1975): The Computation and Design of Bellow. - Moscow: Masgiz (in Russian).
  • [5] Axelrad E.L. (1987): Theory of Flexible Shells. - Amsterdam: Elsevier Science.
  • [6] Chien W.Z. and Wi M.D. (1983): The nonlinear characteristics of U-shaped bellows-calculations by the method of perturbation. - Appl. Math. Mech., vol.4, No.5, pp.649-665.
  • [7] Feodosev V.I. (1949): Elastic Elements of Precision-Instruments Manufacture. - Moscow: Oborongiz, (in Russian).
  • [8] Galishin A.Z. (1999): Determination of the axisymmetric geometrically nonlinear thermoviscoelastoplastic stress-strain state of shell of revolution. - International Applied Mechanics, vol.35, No.12, pp.1229-1237.
  • [9] Galishin A.Z. (2003): Determination the axisymmetric geometrically nonlinear thermoviscoelastoplastic state of laminated orthotropic shells. - International Applied Mechanics, vol.39, No.l, pp.56-633.
  • [10] Haringx J.A. (1956): Nonlinearity of corrugated diaphragms. - Appl. Sci. Res., Ser.A, vol.16, ppA5-47.
  • [11] Liu R.H. (1965): Nonlinear stability of circular shallow spherical shell with a hole in the center under the action of uniform moment at the inner edge. - Bull. Sci., No.3. pp.253-255 (in Chinese).
  • [12] Liu R.B. (1978): The characteristic relations of corrugated circular plates. - Acta Mechanica Sinica., No.l, pp.47-52 (in Chinese).
  • [13] Liu R.B. (1984a): Large deflection of corrugated circular plate with a plane central region under the action of concentrated loads at the center. - Int. J. Non-linear Mech., vol.19, No.5, pp 409-419.
  • [14] Liu R.H. (1984b): Large deflection of corrugated circular plate boundary region. - Solid Mech. Archs., vol.10, No.9, pp.383-406.
  • [15] Liu R.H. (1998): Study on Nonlinear Mechanics of Plates and Shells. - New York: Science Press and Jinan University Press.
  • [16] Liu R.H. and Li D. (1989): On non-linear bending and vibration of corrugated circular plate. - Int. J. Non-Linear Mech., vol.24, No.3, pp.165-176.
  • [17] Liu R.H. and Wang Z.W. (2000): Nonlinear deformation analysis of a U-shaped bellows with varying thickness. - Arch. Appl. Mech., vol.70, NoA, pp.366-376.
  • [18] Liu R.H. and Yuan H. (1997): Non-linear bending of corrugated annular plate with large boundary corrugation. - Appl. Mech. Eng., vol.2, No.2, pp.353-367.
  • [19] Liu R.H. and Zou R.P. (1993): Nonlinear bending of a corrugated annular plate with a plane boundary region and a non-deformable rigid body at the center under compound load. - Int. J. Non-linear Mech., vol.28, NoA, pp.353-364.
  • [20] Panov D.Y. (1941): On large deflection of circular membranes with weak corrugation. - Prikl. Mat. Mekh., vol.5, pp.308-318 (in Russian).
  • [21] Salashiling V.I. (1965): The Calculation of a Cylindrical Corrugated Shell. - The Collection of Construction Frame, pp.339-345 (in Russian).
  • [22] Semenyuk N.P. (2002): On design models in stability problems for corrugated cylindrical shells. - International Applied Mechanics, vol.38, No.l0, pp.1245-1252.
  • [23] Semenyuk N.P. (2002): Stability of orthotropic cylindrical shells under axial compression. - Mechanics of Composite Materials, vol.38, No.3, pp.243-252.
  • [24] XU Z.Q., Liu Y., Yong J.S. and Xie Z.C. (1985): Large deflection of a U-shaped bellows with varying thickness. - Journal of Qinghua University, vol.15, No.I, pp.39-51 (in Chinese).
  • [25] Yeh K.Y., Liu R.H., Pin Q.Y. and Li S.L. (1965): Nonlinear stability of thin circular shallow spherical shell under actions of axisymmetric uniform distribution line loads. - Bull. Sci., No.2, pp.142-145 (in Chinese).
  • [26] Yeh K.Y., Liu R.H., Zhang C.Z. and Xu U.F. (1965): Nonlinear stability of thin circular shallow spherical shell under the actions of uniform moment. - Bull. Sci., No.2, pp.145-147 (in Chinese).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ2-0013-0059
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