Nonlinear stability of symmetrically laminated cylindrically orthotropic truncated shallow conical shells including trunsverse shear

• Autorzy: Liu R. H. , Wei S.
• Języki publikacji: EN

Abstrakty

EN

In the present paper, based on the modified iteration method, the nonlinear stability problem of a symmetrically laminated cylindrically orthotropic truncated shallow conical shell with a non-deformable rigid body at the center under uniform pressure including transverse shear is investigated. The analytical formula of the critical buckling load is obtained. Results of this paper can be applied directly to engineering design.

Słowa kluczowe

EN

laminated truncated shallow conical shell; nonlinear stability; modified iteration method

PL

stabilność nieliniowa; kompozyty

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2009
• Tom: Vol. 14, no 3
• Strony: 769--790
• Opis fizyczny: Bibliogr. 18 poz., wykr.

Twórcy

autor

Liu R. H.

autor

Wei S.

• Institute of Applied Mechanics, Jinan University Guangzhou 510632, P.R.CHINA,

Bibliografia

• An N., Wang F. and Liu R.H. (2001): Nonlinear bending of symmetrically laminated cylindrically orthotropic shallow spherical shells under linear load. - Journal of Jinan University, vol.27, No.3, pp.398-405(in Chinese).
• Liu R.H. (1965c): Nonlinear stability of circular shallow spherical shell with a hole in the center under the action of uniform moment at the inner edge. - Bullection of Sciences, No.3, pp.253-255 (in Chinese).
• Liu R.H. (1991): On the nonlinear stability of symmetrically laminated cylindrically orthotropic shallow spherical shells. - Applied Mathematics and Mechanics, vol.12, No.3, pp.271-279.
• Liu R.H. (1992): Nonlinear stability of symmetrically laminated cylindrically orthotropic shallow spherical shells including transverse shear. - Science in China, Series A, vol.35, No.6, pp.734-746.
• Liu R.H. (1993): Large deflection equations of symmetrically laminated composite cylindrically orthotropic shallow spherical shells. - Applied Mathematics and Mechanics, Wei-Zang Chien Eightieth Anniversary Volume (Yeh K.Y., Ed.), Beijing: Science Press and Chongqing Publishing House, pp.355-361.
• Liu R.H. (1996a): On nonlinear buckling of symmetrically laminated, cylindrically orthotropic, truncated shallow, spherical shells under uniform pressure including shear effects. - International Journal of Non-linear Mechanics., vol.31, No.1, pp.101-115.
• Liu R.H. (1996b): Non-linear buckling of symmetrically laminated, cylindrically orthotropic, shallow, conical considering shear. - International Journal of Non-linear Mechanics., vol.31, No.1, pp.89-99.
• Liu R.H. (1996c): Nonlinear stability of laminated composite shallow conical shells. - Proceedings of the Ninth National Conference of Composite Materials (Zhang Z.M., Ed.), Beijing: Publishing Company of World Books, pp.249-255 (in Chinese).
• Liu R.H. (1998b): Study on Non Linear Mechanics of Plates and Shells. - New York: Science Press and Jinan University Press.
• Liu R.H. (2006b): Study on Nonlinear Mechanics of Plates and Shells. - New York: Science Press and Jinan University Press.
• Liu R.H. and Wang F. (1997): Nonlinear forced vibration of laminated composite shallow spherical shells. - Acta Mechanica Sinica, vol.29, No.2, pp.237-241 (in Chinese).
• Liu R.H. and Wang F. (1998a): Nonlinear dynamic bucking of symmetrically cylindrically orthotropic shallow spherical shells. - Archive of Applied Mechanics, No.68, pp.375-384.
• Liu R.H. and Zhong C. (1994): Nonlinear buckling of symmetrically laminated, cylindrically orthotropic, shallow, spherical shells with a circular hole at the center including transverse shear. - Journal of Jinan University, vol.15, No.1, pp.1-12 (in Chinese).
• Wang F. and Liu R.H. (2001): Nonlinear dynamic buckling of symmetrically laminated truncated shallow spherical shell. - Acta Mechanica Sinica, vol.22, No.3, pp.309-314 (in Chinese).
• Wang F., Xiao T. and Liu R.H. (2000): The effect of damping on the nonlinear vibration of a laminated composite truncated shallow spherical shell. - Research and Practice in Applied Mechanics (Liu R.H. Ed.), Guangzhou: Jinan University Press, pp.35-43 (in Chinese).
• Yeh K.Y., Liu R.H., Pin Q.Y. and Li S.L. (1965a): Nonlinear stability of thin circular shallow spherical shell under actions of axisymmetric uniform distribution line loads. - Bullection of Sciences, No.2, pp.142-145 (in Chinese).
• Yeh K.Y., Liu R.H., Zhang C.Z. and Xu U.F. (1965a): Nonlinear stability of thin circular shallow spherical shell under the actions of uniform moment. - Bullection of Sciences, No.2, pp.145-147 (in Chinese).
• Zhu Y.A., Wang F. and Liu R.H. (2008): Thermal buckling of axisymmetrically laminated cylindrically orthotropic shallow spherical shells including transverse shear. - Applied Mathematics and Mechanics, vol.29, No.3, pp.291-300.