Geometrically nonlinear dynamic and static analysis of shallow spherical shell resting on two-parameters elastic foundations

Ö. Civalek1
1Akdeniz University, Faculty of Engineering, Civil Engineering Department, Division of Mechanics, Antalya, Turkey

Tài liệu tham khảo

Nath, 1978, Non-linear static and dynamic response of spherical shells on elastic foundations, Int J Non Mech, 13, 157, 10.1016/0020-7462(78)90004-5

Nath, 1985, Nonlinear static and dynamic analysis of circular plates and shallow spherical shells using the collocation method, Int J Num Meth Eng, 21, 565, 10.1002/nme.1620210314

Nie, 2003, Analysis of non-linear behaviour of imperfect shallow spherical shells on Pasternak foundation by the asymptotic iteration method, Int J Pres Vess Pip, 80, 229, 10.1016/S0308-0161(03)00043-7

Shen, 2013, Boundary layer theory for the nonlinear vibration of anisotropic laminated cylindrical shells, Compos Struct, 97, 338, 10.1016/j.compstruct.2012.10.027

Shen, 2012, Nonlinear vibration of shear deformable FGM cylindrical shells surrounded by an elastic medium, Compos Struct, 94, 1144, 10.1016/j.compstruct.2011.11.012

Shen, 1999, Large deflection of composite laminated plates under transverse and in-plane loads resting on elastic foundation, Compos Struct, 45, 115, 10.1016/S0263-8223(99)00007-0

Civalek, 2005, Geometrically nonlinear dynamic analysis of doubly curved isotropic shells resting on elastic foundation by a combination of HDQ-FD methods, Int J Pres Vess Pip, 82470

Alashti, 2012, Three-dimensional dynamo-thermo-elastic analysis of a functionally graded cylindrical shell with piezoelectric layers by DQ-FD coupled, Int J Pres Vess Pip, 96, 49, 10.1016/j.ijpvp.2012.06.006

Paliwal, 1986, Shallow shells on Pasternak foundation, J Eng Mech, 112, 175, 10.1061/(ASCE)0733-9399(1986)112:2(175)

Bich, 2011, Non-linear axisymmetric response of functionally graded shallow spherical shells under uniform external pressure including temperature effects, Int J Non Mech, 46, 1195, 10.1016/j.ijnonlinmec.2011.05.015

Kiani, 2012, Static and dynamic analysis of an FGM doubly curved panel resting on the Pasternak-type elastic foundation, Compos Struct, 94, 2474, 10.1016/j.compstruct.2012.02.028

Liew, 2006, Nonlinear vibration of a coating-FGM-substrate cylindrical panel subjected to a temperature gradient, Comp Meth Appl Mech Eng, 195, 1007, 10.1016/j.cma.2005.04.001

Reddy, 1987, Recent advance in the nonlinear analysis of laminated composite plates and shells, Shock Vib Dig, 19, 3, 10.1177/058310248701900402

Sofiyev, 2013, Effect of a functionally graded interlayer on the non-linear stability of conical shells in elastic medium, Compos Struct, 99, 296, 10.1016/j.compstruct.2012.11.044

Volmir, 1972

Kanematsu, 1971

Kornishin, 1971

Nath, 1978, Non-linear static and dynamic response of spherical shells, Int J Non Mech, 13, 157, 10.1016/0020-7462(78)90004-5

Wei, 1999, Discrete singular convolution for the solution of the Fokker–Planck equations, J Chem Phys, 110, 8930, 10.1063/1.478812

Wei, 2001, A new algorithm for solving some mechanical problems, Comp Meth Appl Mech Eng, 190, 2017, 10.1016/S0045-7825(00)00219-X

Wei, 2002, A novel approach for the analysis of high-frequency vibrations, J Sound Vib, 257, 207, 10.1006/jsvi.2002.5055

Wei, 2001, Discrete singular convolution for beam analysis, Eng Struct, 23, 1045, 10.1016/S0141-0296(01)00016-5

Wei, 2002, Discrete singular convolution and its application to the analysis of plates with internal supports. Part 1: Theory and algorithm, Int J Num Meth Eng, 55, 913, 10.1002/nme.526

Hou, 2005, DSC-Ritz method for the free vibration analysis of Mindlin plates, Int J Num Meth Eng, 62, 262, 10.1002/nme.1186

Civalek, 2007, Numerical analysis of free vibrations of laminated composite conical and cylindrical shells: discrete singular convolution (DSC) approach, J Comp Appl Math, 205, 251, 10.1016/j.cam.2006.05.001

Civalek, 2008, Vibration analysis of conical panels using the method of discrete singular convolution, Commun Num Meth Eng, 24, 169, 10.1002/cnm.961

Civalek, 2006, Free vibration analysis of composite conical shells using the discrete singular convolution algorithm, Steel Compos Struct, 6, 353, 10.12989/scs.2006.6.4.353

Civalek, 2007, A parametric study of the free vibration analysis of rotating laminated cylindrical shells using the method of discrete singular convolution, Thin Wall Struct, 45, 692, 10.1016/j.tws.2007.05.004

Seçkin, 2009, A novel scheme for the discrete prediction of high-frequency vibration response: discrete singular convolution-mode superposition approach, J Sound Vib, 320, 1004, 10.1016/j.jsv.2008.08.031

Civalek, 2004

Bathe, 1976

Civalek, 2009, A four-node discrete singular convolution for geometric transformation and its application to numerical solution of vibration problem of arbitrary straight-sided quadrilateral plates, Appl Math Model, 13, 300, 10.1016/j.apm.2007.11.003

Shu, 1997, Fourier expansion-based differential quadrature and its application to Helmholtz eigenvalue problems, Commun Numer Methods Eng, 13, 643, 10.1002/(SICI)1099-0887(199708)13:8<643::AID-CNM92>3.0.CO;2-F

Liu, 2002, Multipoint boundary value problems by differential quadrature method, Math Comp Model, 35, 215, 10.1016/S0895-7177(01)00160-1

Tanaka, 2001, Dual reciprocity BEM applied to transient elastodynamics problems with differential quadrature method in time, Comp Meth Appl Mech Eng, 190, 2331, 10.1016/S0045-7825(00)00237-1

Civalek, 2005, Large deflection static and dynamic analysis of thin circular plates resting on two-parameter elastic foundation: HDQ/FD coupled methodology approaches, Int J Comp Mech, 2, 271

Chia, 1980

Peng, 2009, A semi-analytic approach for the nonlinear dynamic response of circular plates, Appl Math Mod, 33, 4303, 10.1016/j.apm.2009.03.007

Sofiyev, 2012, Thermal buckling analysis of non-homogenous shallow spherical shells, J Faculty Eng Arch Gazi Univ, 27, 397