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Some comments on the nonlinear dynamics of a portal frame under base excitation
(IOS Press, 2013-01-01)
This paper presents a nonlinear dynamic analysis of a flexible portal frame subjected to support excitation, which is provided by an electro-dynamical shaker. The main goal of this study is to investigate the dynamic ...
Nonlinear dynamics of rotating box FGM beams using nonlinear normal modes
(Elsevier, 2013-01)
In this work an analysis is performed on the nonlinear planar vibrations of a functionally graded beam subjected to a combined thermal and harmonic transverse load in the presence of internal resonance. Adopting the direct ...
High-static-low-dynamic-stiffness vibration isolation enhanced by damping nonlinearity
(2018-01-01)
High-static-low-dynamic-stiffness (HSLDS) nonlinear isolators have proven to have an advantage over linear isolators, because HSLDS nonlinear isolators allow low-frequency vibration isolation without compromising the static ...
EXPERIMENTAL OBSERVATION OF NONLINEAR VIBRATIONS USING A CLOSED-LOOP VIBRATION SYSTEM
(Polish Acad Sciences, 2015-12-01)
This paper presents experimental observation of nonlinear vibrations in the response of a flexible cantilever beam to transverse harmonic base excitations around its flexural mode frequencies. In the experimental setup, ...
First-order nonlinear dynamic initial value problems
(2021-01-01)
We prove three existence theorems for solutions of first-order dynamic initial value problems, including corresponding continuous and discrete cases. The main tools are fixed point theorems and dynamic inequalities. Two ...
First-order nonlinear dynamic initial value problems
(Inderscience Enterprises Ltd, 2021-01-01)
We prove three existence theorems for solutions of first-order dynamic initial value problems, including corresponding continuous and discrete cases. The main tools are fixed point theorems and dynamic inequalities. Two ...
Eigenvalue optimization-based formulations for nonlinear dynamics and control problems
(Elsevier Science Sa, 2007-11)
Eigenvalues play an important role in many fields of applied mathematics to engineering. For some applications it may be desirable to calculate the variables of a model in order to optimize an objective function and/or to ...
Analytical description of critical dynamics for two-dimensional dissipative nonlinear maps
(2016-05-20)
The critical dynamics near the transition from unlimited to limited action diffusion for two families of well known dissipative nonlinear maps, namely the dissipative standard and dissipative discontinuous maps, is ...
On an Active Control for a Structurally Nonlinear Mechanical System, Taking Into Account an Energy Pumping
(Asme-amer Soc Mechanical Eng, 2009-07-01)
The purpose of this work is to investigate the control of the oscillations and the suppression of vibrations in damped and coupled oscillators. In this sense, we look into the potential of using a nonlinear energy sink in ...
Dynamical behavior and optimization of a nonlinear vibration absorber
(2016-10-01)
The paper concerns the introduction of cubic nonlinearity into a vibration absorber to improve its effectiveness. The nonlinear stiffness is offered by a thin clamped circular plate which undergoes large flexural deflection. ...