Non-linear vibrations and stability analysis of tensioned pipes conveying fluid with variable velocity
Tài liệu tham khảo
Ulsoy, 1978, Principal developments in band saw vibration and stability research, Holz Roh-Werkst., 36, 273, 10.1007/BF02610748
Wickert, 1988, Current research on the vibration and stability of axially moving materials, Shock Vib. Dig., 20, 3, 10.1177/058310248802000503
Benjamin, 1961, Dynamics of a system of articulated pipes conveying fluids: I. Theory and II. Experiment, Proc. Roy. Soc. London, 261 A, 457, 10.1098/rspa.1961.0090
Nemat-Nasser, 1966, Destabilizing effect of velocity – independent forces in non-conservative continuous systems, Am. Ins. Aeronaut. Astronaut. J., 4, 1276, 10.2514/3.3659
Gregory, 1966, Unstable oscillation of tabular cantilevers conveying fluid, I. Theory and II. Experiment, Proc. Roy. Soc. London, 293 A, 512, 10.1098/rspa.1966.0187
Paidoussis, 1993, Pipes conveying fluid: a model dynamical problem, J. Fluids Struct., 7, 137, 10.1006/jfls.1993.1011
Lee, 1997, A generalized treatment of the energetics of translating continua, Part I: Strings and second order tensioned pipes, J. Sound Vib., 204, 717, 10.1006/jsvi.1996.0945
Lee, 1997, A generalized treatment of the energetics of translating continua, Part II: Beams and fluid conveying pipes, J. Sound Vib., 204, 735, 10.1006/jsvi.1996.0946
Öz, 2000, Transverse vibrations of tensioned pipes conveying fluid with time dependent velocity, J. Sound Vib., 236, 259, 10.1006/jsvi.2000.2985
Mote, 1966, On the non-linear oscillation of an axially moving string, J. Appl. Mech., 33, 463, 10.1115/1.3625075
Ames, 1968, Non-linear vibration of a traveling threadline, Int. J. Non-Linear Mech., 3, 449, 10.1016/0020-7462(68)90031-0
Wickert, 1992, Non-linear vibration of a traveling tensioned beam, Int. J. Non-Linear Mech., 27, 503, 10.1016/0020-7462(92)90016-Z
Chakraborty, 1999, Non-linear vibration of a traveling beam, Int. J. Non-Linear Mech., 34, 655, 10.1016/S0020-7462(98)00017-1
Öz, 2001, Nonlinear vibrations and stability of an axially moving beam with time dependent velocity, Int. J. Non-Linear Mech., 36, 107, 10.1016/S0020-7462(99)00090-6
Mote, 1975, Stability of systems transporting accelerating axially moving materials, ASME J. Dyn. Systems Meas. Control, 97, 96, 10.1115/1.3426880
Pakdemirli, 1994, Transverse vibration of an axially accelerating string, J. Sound Vib., 169, 179, 10.1006/jsvi.1994.1012
Pakdemirli, 1993, Dynamic stability of a constantly accelerating strip, J. Sound Vib., 168, 371, 10.1006/jsvi.1993.1379
Wickert, 1996, Transient vibrations of gyroscopic systems with unsteady superposed motion, J. Sound Vib., 195, 797, 10.1006/jsvi.1996.0462
Pakdemirli, 1997, Stability analysis of an axially accelerating string, J. Sound Vib., 203, 815, 10.1006/jsvi.1996.0935
Wickert, 1990, Classical vibration analysis of axially moving continua, ASME J. Appl. Mech., 57, 738, 10.1115/1.2897085
Wickert, 1991, Response and discretization methods for axially moving materials, Appl. Mech. Rev., 44, 279, 10.1115/1.3121365
Öz, 1999, Vibrations of an axially moving beam with time dependent velocity, J. Sound Vib., 227, 239, 10.1006/jsvi.1999.2247
H.R. Öz, On the vibrations of an axially traveling beam on fixed supports with variable velocity, J. Sound Vib., in press.
Öz, 1998, Transition behavior from string to beam for an axially accelerating material, J. Sound Vib., 215, 571, 10.1006/jsvi.1998.1572
Pellicano, 1998, Boundary layers and non-linear vibrations in an axially moving beam, Int. J. Non-Linear Mech., 33, 691, 10.1016/S0020-7462(97)00044-9
Pakdemirli, 1998, Approximate boundary layer solution of a moving beam problem, Math. Comput. Appl., 2, 93
Nayfeh, 1981
Nayfeh, 1979
Nayfeh, 1992, On methods for continuous systems with quadratic and cubic nonlinearities, Nonlinear Dyn., 3, 145, 10.1007/BF00118990
Pakdemirli, 1995, Analysis of one-to-one autoparametric resonances in cables-discretization vs direct treatment, Nonlinear Dyn., 8, 65, 10.1007/BF00045007
Pakdemirli, 1994, A comparison of two perturbation methods for vibrations of systems with quadratic and cubic nonlinearities, Mech. Res. Commun., 21, 203, 10.1016/0093-6413(94)90093-0
Pakdemirli, 1995, Comparison of direct-perturbation methods with discretization-perturbation methods for nonlinear vibrations, J. Sound Vib., 186, 837, 10.1006/jsvi.1995.0491
Pakdemirli, 1997, The direct-perturbation method versus the discretization-perturbation method: linear systems, J. Sound Vib., 199, 825, 10.1006/jsvi.1996.0643
Nayfeh, 1997, On the discretization of distributed-parameter systems with quadratic and cubic nonlinearities, Nonlinear Dyn., 13, 203, 10.1023/A:1008253901255
Nayfeh, 1995