[图书][B] Vibrations and stability

JJ Thomsen, JJ Thomsen, JJ Thomsen - 2003 - Springer
'Vibrations and StabilityÁÁÁ'is aimed at third-to fifth-year undergraduates and postgraduates
in mechanical or structural engineering. The book covers a range of subjects relevant for a …

[图书][B] Nonlinear oscillations in mechanical engineering

A Fidlin - 2005 - books.google.com
" Nonlinear Oscillations in Mechanical Engineering" explores the effects of nonlinearities
encountered in applications in that field. Since the nonlinearities are caused, first of all, by …

Slow high-frequency effects in mechanics: problems, solutions, potentials

JJ Thomsen - International Journal of Bifurcation and Chaos, 2005 - World Scientific
Strong high-frequency excitation (HFE) may change the" slow"(ie effective or average)
properties of mechanical systems, eg their stiffness, natural frequencies, equilibriums …

Some general effects of strong high-frequency excitation: stiffening, biasing and smoothening

JJ Thomsen - Journal of Sound and Vibration, 2002 - Elsevier
Mechanical high-frequency (HF) excitation provides a working principle behind many
industrial and natural applications and phenomena. This paper concerns three particular …

High-frequency vibrational control of principal parametric resonance of a nonlinear cantilever beam: Theory and experiment

PK Sahoo, S Chatterjee - Journal of Sound and Vibration, 2021 - Elsevier
The effects of high-frequency parametric excitation on the principal parametric resonance of
a nonlinear beam are studied both theoretically and experimentally. Only the first mode of …

[图书][B] Method of averaging for differential equations on an infinite interval: theory and applications

V Burd - 2007 - taylorfrancis.com
In recent years, mathematicians have detailed simpler proofs of known theorems, have
identified new applications of the method of averaging, and have obtained many new results …

Vibrational control and resonance of a nonlinear tilted cantilever beam under multi-harmonic low and high-frequency excitations

PK Sahoo, S Chatterjee - … in Nonlinear Science and Numerical Simulation, 2023 - Elsevier
This paper investigates the vibrational resonance and control of the response of a nonlinear
tilted cantilever beam under combined multi-harmonic low and non-resonant, high …

Stiffening effects of high-frequency excitation: experiments for an axially loaded beam

JS Jensen, DM Tcherniak… - J. Appl. Mech …, 2000 - asmedigitalcollection.asme.org
According to theoretical predictions one can change the effective stiffness or natural
frequency of an elastic structure by employing harmonic excitation of very high frequency …

Effect of vertical high-frequency parametric excitation on self-excited motion in a delayed van der Pol oscillator

S Sah, M Belhaq - Chaos, Solitons & Fractals, 2008 - Elsevier
We investigate the interaction effect of fast vertical parametric excitation and time delay on
self-oscillation in a van der Pol oscillator. We use the method of direct partition of motion to …

Control of vibroimpact dynamics of a single-sided Hertzian contact forced oscillator

A Bichri, M Belhaq, J Perret-Liaudet - Nonlinear Dynamics, 2011 - Springer
The control of vibroimpact dynamics of a single-sided Hertzian contact forced oscillator is
investigated analytically and numerically in this paper. The control strategy is introduced via …