scholarly journals Energy-consistent, Galerkin approach for the nonlinear dynamics of beams using intrinsic equations

2010 ◽  
Vol 17 (11) ◽  
pp. 1748-1758 ◽  
Author(s):  
Mayuresh J Patil ◽  
Matthias Althoff
Keyword(s):  
Nonlinear Dynamics ◽  
Galerkin Approach

Nonlinear Dynamics of a Parametrically Excited Laminated Beam: Deterministic Excitation

2011 ◽  
Vol 464 ◽  
pp. 260-263 ◽  
Author(s):  
Xiang Jun Lan ◽  
Zhi Hua Feng ◽  
Hong Lin ◽  
Xiao Dong Zhu
Keyword(s):  
Nonlinear Dynamics ◽  
Multiple Scales ◽  
Method Of Multiple Scales ◽  
Plate Theory ◽  
Third Order ◽  
Force Amplitude ◽  
Laminated Beam ◽  
Galerkin Approach ◽  
Nonlinear Dynamic Equation ◽  
Nonlinear Behaviors

The nonlinear dynamic equation of a laminated beam subject to parametrically deterministic excitation is derived based on the general von Karman-type equations and the Reddy third-order shear deformation plate theory. The first mode parametric resonance is taken into consideration using Galerkin approach. The modulation equations are obtained with the method of multiple scales. The frequency-amplitude and force-amplitude characters are investigated. Results show that the nonlinear behaviors belong to hardening effect.

scholarly journals Dynamics of flexible shells and Sharkovskiy's periodicity

2006 ◽  
Vol 2006 ◽  
pp. 1-8 ◽  
Author(s):  
Vadim A. Krysko ◽  
Jan Awrejcewicz ◽  
Natalya E. Saveleva ◽  
Anton V. Krysko
Keyword(s):  
Nonlinear Dynamics ◽  
Numerical Analysis ◽  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Classical Theory ◽  
Theoretical Background ◽  
Qualitative Theory ◽  
Elastic Shells ◽  
Galerkin Approach ◽  
Flexible Shells

Complex vibration of flexible elastic shells subjected to transversal and sign-changeable local load in the frame of nonlinear classical theory is studied. A transition from partial to ordinary differential equations is carried out using the higher-order Bubnov-Galerkin approach. Numerical analysis is performed applying theoretical background of nonlinear dynamics and qualitative theory of differential equations. Mainly the so-called Sharkovskiy periodicity is studied.

Nonlinear dynamics in behavioral systems.

1995 ◽  
Vol 50 (2) ◽  
pp. 107-108 ◽  
Author(s):  
Michael F. Halasz
Keyword(s):  
Nonlinear Dynamics ◽  
Behavioral Systems

Sexual Affordance Invariance Extraction and Intentional Nonlinear Dynamics: Deviant and Non-deviant Patterns

2010 ◽  
Author(s):  
Patrice Renaud ◽  
Mathieu Goyette ◽  
Simon Zhornicki ◽  
Dominique Trottier ◽  
Joanne-L. Rouleau ◽  
...  
Keyword(s):  
Nonlinear Dynamics

Nonlinear dynamics of motivational processes in the workplace

2008 ◽  
Author(s):  
J. Navarro ◽  
C. Arrieta ◽  
L. Ceja
Keyword(s):  
Nonlinear Dynamics
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