Corrigendum to “Nonlinear dynamic response of imperfect eccentrically stiffened FGM double curved shallow shells on elastic foundation” [Compos. Struct. 99 (2013) 88–96]

Abstract This paper presents an analytical investigation on the nonlinear dynamic response of eccentrically stiffened functionally graded double curved shallow shells resting on elastic foundations and being subjected to axial compressive load and transverse load. The formulations are based on the classical shell theory taking into account geometrical nonlinearity, initial geometrical imperfection and the Lekhnitsky smeared stiffeners technique with Pasternak type elastic foundation. The non-linear equations are solved by the Runge–Kutta and Bubnov–Galerkin methods. Obtained results show effects of material and geometrical properties, elastic foundation and imperfection on the dynamical response of reinforced FGM shallow shells. Some numerical results are given and compared with ones of other authors.

[1]  Abdullah H. Sofiyev,et al.  The stability of compositionally graded ceramic–metal cylindrical shells under aperiodic axial impulsive loading , 2005 .

[2]  E. Schnack,et al.  The stability of functionally graded cylindrical shells under linearly increasing dynamic torsional loading , 2004 .

[3]  M. Ganapathi,et al.  On the nonlinear axisymmetric dynamic buckling behavior of clamped functionally graded spherical caps , 2007 .

[4]  L. S. Ong,et al.  Nonlinear free vibration behavior of functionally graded plates , 2006 .

[5]  V. H. Nam,et al.  Nonlinear dynamical analysis of eccentrically stiffened functionally graded cylindrical panels , 2012 .

[6]  J. N. Reddy,et al.  Vibration characteristics of functionally graded cylindrical shells under various boundary conditions , 2000, Applied Acoustics.

[7]  J. Hutchinson,et al.  Buckling of Bars, Plates and Shells , 1975 .

[8]  N. Ganesan,et al.  Buckling and free vibration analysis of functionally graded cylindrical shells subjected to a temperature-specified boundary condition , 2006 .

[9]  K. M. Liew,et al.  Dynamic stability analysis of functionally graded cylindrical shells under periodic axial loading , 2001 .

[10]  K. M. Liew,et al.  Dynamic stability of rotating cylindrical shells subjected to periodic axial loads , 2006 .

[11]  A. Houmat,et al.  Non-linear free vibration of a functionally graded doubly-curved shallow shell of elliptical plan-form , 2010 .

[12]  Shirong Li,et al.  Dynamic buckling of FGM truncated conical shells subjected to non-uniform normal impact load , 2010 .

[13]  S. Vel,et al.  Three-dimensional exact solution for the vibration of functionally graded rectangular plates , 2004 .

[14]  M. Shariyat,et al.  DYNAMIC THERMAL BUCKLING OF SUDDENLY HEATED TEMPERATURE-DEPENDENT FGM CYLINDRICAL SHELLS, UNDER COMBINED AXIAL COMPRESSION AND EXTERNAL PRESSURE , 2008 .

[15]  L. K. Hoa,et al.  NON - LINEAR VIBRATION OF FUNCTIONALLY GRADED SHALLOW SPHERICAL SHELLS , 2010 .

[16]  Mansour Darvizeh,et al.  Non-linear analysis of dynamic stability for functionally graded cylindrical shells under periodic axial loading , 2008 .

[17]  Hui-Shen Shen,et al.  Non-linear analysis of functionally graded plates under transverse and in-plane loads , 2003 .

[18]  Marco Amabili,et al.  Nonlinear vibrations of functionally graded doubly curved shallow shells , 2011 .

[19]  D. H. Bich,et al.  Non-linear dynamical analysis of imperfect functionally graded material shallow shells , 2010 .

[20]  K. M. Liew,et al.  Free vibration of two-side simply-supported laminated cylindrical panels via the mesh-free kp-Ritz method , 2004 .

[21]  T. Y. Ng,et al.  Generalized differential quadrature for free vibration of rotating composite laminated conical shell with various boundary conditions , 2003 .

[22]  K. Liew,et al.  Nonlinear vibration of a coating-FGM-substrate cylindrical panel subjected to a temperature gradient , 2006 .

[23]  Abdullah H. Sofiyev,et al.  The vibration and stability behavior of freely supported FGM conical shells subjected to external pressure , 2009 .

[24]  M. Shariyat,et al.  Dynamic buckling of suddenly loaded imperfect hybrid FGM cylindrical shells with temperature-dependent material properties under thermo-electro-mechanical loads , 2008 .

[25]  A. Allahverdizadeh,et al.  Nonlinear free and forced vibration analysis of thin circular functionally graded plates , 2008 .

[26]  K. M. Liew,et al.  The element-free kp-Ritz method for free vibration analysis of conical shell panels , 2006 .

[27]  Renato Natal Jorge,et al.  Natural frequencies of functionally graded plates by a meshless method , 2006 .

[28]  A. H. Sofiyev,et al.  The stability of functionally graded truncated conical shells subjected to aperiodic impulsive loading , 2004 .

[29]  Li Hua,et al.  Influence of boundary conditions on the frequency characteristics of a rotating truncated circular conical shell , 1999 .

[30]  K. K. Shukla,et al.  NONLINEAR STATIC AND DYNAMIC ANALYSIS OF FUNCTIONALLY GRADED PLATES , 2006 .

[31]  A. Sofiyev The buckling of functionally graded truncated conical shells under dynamic axial loading , 2007 .

[32]  J. N. Reddy,et al.  Vibration of functionally graded cylindrical shells , 1999 .

[33]  H. Matsunaga Free vibration and stability of functionally graded plates according to a 2-D higher-order deformation theory , 2008 .