An efficient method for free vibration analysis of rotating truncated conical shells
Tóm tắt
Từ khóa
Tài liệu tham khảo
Leissa AW. Vibration of shells. NASA. SP-288; 1973.
Markus, 1988
Soedel, 1996, Vibrations of shells and plates
Aron, 1874, Das Gleichgewicht und die Bewegung einer unendlich dunnen, beliehig gekrummten, elastischen Schae, J Für Reine Angwandte Mathematik, 78, 136, 10.1515/crll.1874.78.136
Bryan, 1890, On the beats in the vibration of a revolving cylinder or bell, Proc Camb Philos Soc, 7, 101
Chun, 1993, Critical speed analysis of laminated composite, hollow drive shafts, Compos Eng, 3, 633, 10.1016/0961-9526(93)90087-Z
Chen, 1993, Vibrations of high speed rotating shells with calculations for cylindrical shells, J Sound Vib, 160, 137, 10.1006/jsvi.1993.1010
Hua, 2000, Frequency characteristics of a rotating truncated circular layered conical shell, Compos Struct, 50, 59, 10.1016/S0263-8223(00)00080-5
Hua, 2000, Frequency analysis of rotating truncated circular orthotropic conical shells with different boundary conditions, Compos Sci Technol, 60, 2945, 10.1016/S0266-3538(00)00155-X
Hua, 2000, The generalized differential quadrature method for frequency analysis of a rotating conical shell with initial pressure, Int J Numer Methods Eng, 48, 1703, 10.1002/1097-0207(20000830)48:12<1703::AID-NME961>3.0.CO;2-X
Lam, 1997, Vibration analysis of rotating truncated circular conical shell, Int J Solids Struct, 34, 2183, 10.1016/S0020-7683(96)00100-X
Lam, 1989, Influence of boundary conditions on the frequency characteristics of a rotating truncated circular conical shelf, J Sound Vib, 223, 171, 10.1006/jsvi.1998.1432
Liew, 1994, Vibratory characteristics of cantilevered rectangular shallow shells of variable thickness, AIAA J, 32, 387, 10.2514/3.59996
Liew, 1997, Vibration of shallow shells: a review with bibliography, Trans ASME Appl Mech Rev, 50, 431, 10.1115/1.3101731
Liew, 2002, Vibration of axially loaded rotating cross-ply laminated cylindrical shells via Ritz method, J Eng Mech ASCE, 128, 1001, 10.1061/(ASCE)0733-9399(2002)128:9(1001)
Lim, 1995, Vibratory behaviour of shallow conical shells by a global Ritz formulation, Eng Struct, 17, 63, 10.1016/0141-0296(95)91041-X
Lim, 1994, A pb-2 Ritz formulation for flexural vibration of shallow cylindrical shells of rectangular platform, J Sound Vib, 173, 343, 10.1006/jsvi.1994.1235
Lim, 1995, Free vibration of pretwisted, cantilevered composite shallow conical, AIAA J, 35, 327, 10.2514/2.96
Shu, 1997, Free vibration analysis of laminated composite cylindrical shells by DQM, Composites Part B, 28, 267, 10.1016/S1359-8368(96)00052-2
Tong, 1993, Free vibration of orthotropic conical shells, Int J Eng Sci, 31, 719, 10.1016/0020-7225(93)90120-J
Wei, 1999, Discrete singular convolution for the solution of the Fokker–Planck equations, J Chem Phys, 110, 8930, 10.1063/1.478812
Wei, 2000, Solving quantum eigenvalue problems by discrete singular convolution, J Phys B, 33, 343, 10.1088/0953-4075/33/3/304
Wei, 2002, A novel approach for the analysis of high-frequency vibrations, J Sound Vib, 257, 207, 10.1006/jsvi.2002.5055
Wei, 2001, A new algorithm for solving some mechanical problems, Comput Methods Appl Mech Eng, 190, 2017, 10.1016/S0045-7825(00)00219-X
Wei, 2001, Vibration analysis by discrete singular convolution, J Sound Vib, 244, 535, 10.1006/jsvi.2000.3507
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 Numer Methods Eng, 55, 913, 10.1002/nme.526
Wei, 2001, The determination of natural frequencies of rectangular plates with mixed boundary conditions by discrete singular convolution, Int J Mech Sci, 43, 1731, 10.1016/S0020-7403(01)00021-2
Wei, 2002, A novel approach for the analysis of high-frequency vibrations, J Sound Vib, 257, 207, 10.1006/jsvi.2002.5055
Wan, 2002, Numerical solution of unsteady incompressible flows by the discrete singular convolution, Int J Numer Methods Fluid, 38, 789, 10.1002/fld.253
Zhao, 2002, Discrete singular convolution for the prediction of high frequency vibration of plates, Int J Solids Struct, 39, 65, 10.1016/S0020-7683(01)00183-4
Zhou, 2002, DSC analysis of rectangular plates with non-uniform boundary conditions, J Sound Vib, 255, 203, 10.1006/jsvi.2001.4150
Ng, 2004, Comparison of discrete singular convolution and generalized differential quadrature for the vibration analysis of rectangular plates, Comput Methods Appl Mech Eng, 193, 2483, 10.1016/j.cma.2004.01.013
Hou, 2005, DSC-Ritz method for the free vibration analysis of Mindlin plates, Int J Numer Methods Eng, 62, 262, 10.1002/nme.1186
Chung, 1981, Free vibration analysis of circular cylindrical shells, J Sound Vib, 74, 331, 10.1016/0022-460X(81)90303-5
Dym, 1973, Some new results for the vibrations of circular cylinders, J Sound Vib, 29, 189, 10.1016/S0022-460X(73)80134-8