Spatio-temporal chaos and solitons exhibited by von Kármán model

J Awrejcewicz, VA Krysko, AV Krysko - International Journal of …, 2002 - World Scientific
Forced oscillations of flexible plates with a longitudinal, time dependent load acting on one
plate side are investigated. Regular (harmonic, subharmonic and quasi-periodic) and …

Feigenbaum scenario exhibited by thin plate dynamics

J Awrejcewicz, VA Krysko - Nonlinear Dynamics, 2001 - Springer
The dimensionless partial differential equations governing thedynamics of a thin flexible
isotropic plate with an external load arederived and investigated. The period doubling …

Complex parametric vibrations of flexible rectangular plates

J Awrejcewicz, VA Krysko, AV Krysko - Meccanica, 2004 - Springer
In this paper we consider parametric oscillations of flexible plates within the model of von
Kármán equations. First we propose the general iterational method to find solutions to even …

Subharmonic responses in harmonically excited rectangular plates with one-to-one internal resonance

SI Chang, JM Lee, AK Bajaj, CM Krousgrill - Chaos, Solitons & Fractals, 1997 - Elsevier
Non-linear flexural vibrations of a rectangular plate with uniform stretching are studied for
the case when it is subharmonically excited at nearly three times one of the linear natural …

On internal resonances in mechanical systems

AK Bajaj, P Davies, SI Chang - Nonlinear Dynamics and …, 2018 - taylorfrancis.com
In this work we review the phenomena associated with internal resonances in multi-degree-
of-freedom nonlinear mechanical systems, and then describe their consequences for the …

Co-dimension 2 bifurcations and chaos in cantilevered pipe conveying time varying fluid with three-to-one internal resonances

J Xu, KW Chung, HSY Chan - Acta mechanica solida sinica, 2003 - infona.pl
The nonlinear behavior of a cantilevered fluid conveying pipe subjected to principal
parametric and internal resonances is investigated in this paper. The flow velocity is divided …

구조물의내부공진에대하여

장서일 - 소음· 진동, 1997 - dbpia.co.kr
내부공진은 2 자유도계 이상의 다양한 비선형 시스템에 존재할 수 있으며 모드 사이의
진동에너지의 교환의 원인이 된다. 위에서 설명한 흡진기의 경우처럼 그 시스템의 동작에 …

Dynamics of multi degree-of-freedom stationary and nonstationary nonlinear systems

B Banerjee - 1996 - search.proquest.com
In this thesis, the dynamics of weakly nonlinear multi degree-of-freedom systems under
resonant excitations is studied. Using a first-order averaging technique, the amplitude …