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Nonlinear Vibrations of a Delaminated Beam

Journal of Vibration and Control, 2001
In this paper, dynamic behavior of a delaminated composite beam is studied. In particular, the effects of nonlinearity due to restriction on the axial stretch of the delaminated segments and nonlinearity due to the deflection-amplitude-dependent axial interaction are studied. The restriction to the axial stretch is due to the rest of the beam in which
Lu, X., Lestari, W., Hanagud, S.
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Nonlinear active vibration damping

IEEE Transactions on Automatic Control, 1994
Summary: A multivariable nonlinear controller is investigated for vibration suppression of flexible structures. The closed-loop gain matrix consists of a varying term added to a constant term. The varying term is proportional to the measured signal, providing rapid cancellation of large deflections and maintaining low noise sensitivity.
Rakel K. Kanestrom, Olav Egeland
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Nonlinear Vibration of Cylindrical Shells

AIAA Journal, 1975
The large amplitude vibrations of a thin-walled cylindrical shell are analyzed using the Donnell's shallow-shell equations. A perturbation method is applied to reduce the nonlinear partial differential equations into a system of linear partial differential equations.
Chen, Jay C., Babcock, Charles D.
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Nonlinear Forced Vibrations of Beams

Journal of Applied Mechanics, 1985
An iterative procedure for computing periodic solutions of nonlinear vibrating beams is presented. The nonlinear partial differential equation is replaced by a coupled system of equations. The contraction mapping principle is then applied to generate a method of successive approximations.
Countryman, M., Kannan, R.
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Nonlinear Longitudinal Vibrations of a Rod

Journal of Vibration and Control, 1999
This paper deals with the longitudinal vibrations of a nonlinear rod. The nonlinearity is strong and of cubic type. The motion of the rod is described by a second-order strong nonlinear partial differential equation. The exact numerical solution is obtained.
Cveticanin, L., Uzelac, Z.
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Vibrational control of a class of nonlinear systems by nonlinear multiplicative vibrations

IEEE Transactions on Automatic Control, 1986
Vibrational control, introduced by \textit{S. M. Meerkov} [ibid. AC-25, 755- 762 (1980; Zbl 0454.93021)], is a nonclassical control principle which proposes a utilization of zero mean parametric excitation of a dynamical system for control purposes.
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Nonlinear vibrations of buried landmines

The Journal of the Acoustical Society of America, 2005
The seismo-acoustic method is one of the most promising emerging techniques for the detection of landmines. Numerous field tests have demonstrated that buried landmines manifest themselves at the surface through linear and nonlinear responses to acoustic/seismic excitation. The present paper describes modeling of the nonlinear response in the framework
Dimitri, Donskoy   +3 more
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On an Iterative Method for Nonlinear Vibrations

Journal of Applied Mechanics, 1953
Abstract An iterative method for nonlinear vibrations, previously discussed by Brock, is treated from a primarily analytic point of view. In this light, it is a modification of a Picard-like process for two-point boundary conditions mentioned by Gwoh-Fan Djang.
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Localized Nonlinear Vibrations

2014
The description of various phenomena in solid state physics, the physics of waves and vibrations, biophysics, and engineering is based on models of (quasi-one-dimensional) molecular lattice dynamics. The study of linear quasi-periodic structures has allowed the explanation of many properties of systems consisting of a large number of interacting ...
Lev N. Lupichev   +2 more
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Vibrations of the nonlinear oscillator with quadratic nonlinearity

Physica A: Statistical Mechanics and its Applications, 2004
Abstract In this paper the vibration of a mass–spring oscillator with strong quadratic nonlinearity and one degree of freedom is analyzed. The both, strong and hard, springs are considered. The restoring force in the spring which is the function of the quadratic deformation has to satisfy the condition of antisymmetry.
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