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References (20)
-
M. Shinozuka, C. Jan (1972)
Digital simulation of random processes and its applicationsJournal of Sound and Vibration, 25
-
W. Iwan, A. Mason (1980)
Equivalent linearization for systems subjected to non-stationary random excitationInternational Journal of Non-linear Mechanics, 15
-
L. Lutes, S. Sarkani (1996)
Stochastic analysis of structural and mechanical vibrations -
T. Caughey (1962)
Equivalent Linearization TechniquesJournal of the Acoustical Society of America, 35
-
J. Roberts, P. Spanos (1990)
Random vibration and statistical linearization -
C. Prasad (1987)
The Effects of Nonlinear Damping on the Large Deflection Response of Structures Subjected to Random Excitation -
BY WOJNOWSKY·KRIEGER (1950)
The effect of an axial force on the vibration of hinged barsJournal of Applied Mechanics, 17
-
(1965)
Large-Amplitude Free Vibrations of a Beam”, Transactions of the ASME -
G. Cheng, C. Mei, Roger Chen (2000)
A methodology for supersonic panel flutter analysis of TPS seals -
(1965)
On the Response of a Class of Nonlinear Oscillators -
R. Vaicaitis, E. Dowell, C. Ventres (1974)
Nonlinear Panel Response by a Monte Carlo ApproachAIAA Journal, 12
-
V. Bolotin, S. Crandall (1984)
Random vibrations of elastic systems -
T. Atalik, S. Utku (1976)
Stochastic linearization of multi‐degree‐of‐freedom non‐linear systemsEarthquake Engineering & Structural Dynamics, 4
-
R. Vaicaitis (1991)
Time domain approach for nonlinear response and sonic fatigue of NASP thermal protection systems -
M. Silva, C. Glynn (1978)
Nonlinear Flexural-Flexural-Torsional Dynamics of Inextensional Beams. I. Equations of Motion, 6
-
Y. Wen (1980)
Equivalent Linearization for Hysteretic Systems Under Random ExcitationJournal of Applied Mechanics, 47
-
R. Zhou, D. Xue, C. Mei (1994)
Finite element time domain : modal formulation for nonlinear flutter of composite panelsAIAA Journal, 32
-
M. Hamdan, Mohammad Dado (1997)
Large Amplitude Free Vibrations of a Uniform Cantilever Beam Carrying AN Intermediate Lumped Mass and Rotary InertiaJournal of Sound and Vibration, 206
-
H. Wagner (1965)
Large-Amplitude Free Vibrations of a BeamJournal of Applied Mechanics, 32
-
M. Shinozuka, Y. Wen (1971)
Monte Carlo Solution of Nonlinear VibrationsAIAA Journal, 10
- Publisher
- SAGE
- Copyright
- © 2002 SAGE Publications
- ISSN
- 1369-4332
- eISSN
- 2048-4011
- DOI
- 10.1260/136943301320896679
- Publisher site
- See Article on Publisher Site
Abstract
Nonlinear large amplitude random vibration of cantilever beam with lumped mass and rotary inertia under zero mean, stationary, Gaussian random base excitation is studied, using the inextensional beam theory. Single-mode approximation is employed to discretize the Lagrange's equation. The resulting nonlinear governing modal equation of motion is solved with application of the stochastic linearization method. Two examples, a cantilever beam with/without tip mass, are analyzed as application of the developed methodology. Effects of mass and rotary inertia variation on system response are investigated in detail. Results showed that increasing rotary inertia could reduce the random response of the beam structure and the random response of the structure is quite sensitive to the tip mass variation. The nonlinearities of the inextensional beam vibration result in a spring hardening system.
Journal
Advances in Structural Engineering – SAGE
Published: Oct 1, 2002