scholarly journals Some Comments on the Nonlinear Dynamics of a Portal Frame under Base Excitation

2013 ◽  
Vol 20 (6) ◽  
pp. 1093-1101 ◽  
Author(s):  
Aline Souza de Paula ◽  
José Manoel Balthazar ◽  
Jorge Luis Palacios Felix
Keyword(s):  
Nonlinear Dynamics ◽  
Numerical Analysis ◽  
Nonlinear Dynamic ◽  
Nonlinear Dynamic Analysis ◽  
Complex Behavior ◽  
Base Excitation ◽  
Bifurcation Diagrams ◽  
Dynamic Interactions ◽  
Portal Frame ◽  
Support Excitation

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 interactions between a flexible portal frame and a nonlinear electrical support excitation. The numerical analysis shows a complex behavior of the system, which can be observed by phase spaces, Poincaré sections and bifurcation diagrams.

scholarly journals The Role of Nonlinear Dynamics in Musicians' Interactions with Digital and Acoustic Musical Instruments

2020 ◽  
Vol 43 (4) ◽  
pp. 25-40
Author(s):  
Tom Mudd ◽  
Simon Holland ◽  
Paul Mulholland
Keyword(s):  
Nonlinear Dynamics ◽  
Nonlinear Dynamic ◽  
Sound Production ◽  
Mathematical Formulation ◽  
Musical Instruments ◽  
Dynamic Processes ◽  
Dynamic Interactions ◽  
Acoustic Instruments ◽  
Musical Practices ◽  
Nonlinear Dynamic Processes

Nonlinear dynamic processes are fundamental to the behavior of acoustic musical instruments, as is well explored in the case of sound production. Such processes may have profound and under-explored implications for how musicians interact with instruments, however. Although nonlinear dynamic processes are ubiquitous in acoustic instruments, they are present in digital musical tools only if explicitly implemented. Thus, an important resource with potentially major effects on how musicians interact with acoustic instruments is typically absent in the way musicians interact with digital instruments. Twenty-four interviews with free-improvising musicians were conducted to explore the role that nonlinear dynamics play in the participants' musical practices and to understand how such processes can afford distinctive methods of creative exploration. Thematic analysis of the interview data is used to demonstrate the potential for nonlinear dynamic processes to provide repeatable, learnable, controllable, and explorable interactions, and to establish a vocabulary for exploring nonlinear dynamic interactions. Two related approaches to engaging with nonlinear dynamic behaviors are elaborated: edge-like interaction, which involves the creative use of critical thresholds; and deep exploration, which involves exploring the virtually unlimited subtleties of a small control region. The elaboration of these approaches provides an important bridge that connects the concrete descriptions of interaction in musical practices, on the one hand, to the more-abstract mathematical formulation of nonlinear dynamic systems, on the other.

scholarly journals Nonlinear dynamics of a flexible portal frame under support excitation

2012 ◽  
Author(s):  
Aline Souza de Paula ◽  
José Manoel Balthazar ◽  
Jorge Luis Palacios Felix
Keyword(s):  
Nonlinear Dynamics ◽  
Portal Frame ◽  
Support Excitation

Nonlinear Dynamic Analysis of Beck’s Problem by Using Simple Models

1983 ◽  
Vol 7 (2) ◽  
pp. 65-75
Author(s):  
H. Ohmori ◽  
Y. Hangai ◽  
H. Tanaka
Keyword(s):  
Finite Element ◽  
Numerical Analysis ◽  
Finite Element Model ◽  
Dynamic Analysis ◽  
Nonlinear Dynamic ◽  
Degrees Of Freedom ◽  
Nonlinear Dynamic Analysis ◽  
Element Model ◽  
Mechanical Models ◽  
Lateral Displacements

This paper deals with a nonlinear, dynamic analysis of Beck’s rod, trying to explain discrepancies between analysis and experiment and taking axial and lateral displacements of the rod into account. The numerical analysis was carried out for discrete mechanical models of the rod involving four and eight degrees-of-freedom as well as for a finite element model. Results obtained were thoroughly discussed and compared with known results stemming from previous linear treatments of Beck’s rod.

Modeling and nonlinear dynamic analysis of cable-supported bridge with inclined main cables

2018 ◽  
Vol 156 ◽  
pp. 351-362 ◽  
Author(s):  
Yi Hui ◽  
Hou Jun Kang ◽  
Siu Seong Law ◽  
Zheng Qing Chen
Keyword(s):  
Dynamic Analysis ◽  
Nonlinear Dynamic ◽  
Nonlinear Dynamic Analysis ◽  
Main Cables

Dynamics of a Supported Cylinder in Axial Flow

2011 ◽  
Vol 99-100 ◽  
pp. 1059-1062
Author(s):  
Ji Duo Jin ◽  
Ning Li ◽  
Zhao Hong Qin
Keyword(s):  
Nonlinear Dynamics ◽  
Numerical Analysis ◽  
Numerical Simulations ◽  
Nonlinear Model ◽  
Dynamical Behavior ◽  
Axial Flow ◽  
Viscous Force ◽  
Friction Drag ◽  
Flutter Instability ◽  
Nonlinear Force

The nonlinear dynamics are studied for a supported cylinder subjected to axial flow. A nonlinear model is presented for dynamics of the cylinder supported at both ends. The nonlinear terms considered here are the quadratic viscous force and the structural nonlinear force induced by the lateral motions of the cylinder. Using two-mode discretized equation, numerical simulations are carried out for the dynamical behavior of the cylinder to explain the flutter instability found in the experiment. The results of numerical analysis show that at certain value of flow velocity the system loses stability by divergence, and the new equilibrium (the buckled configuration) becomes unstable at higher flow leading to post-divergence flutter. The effect of the friction drag coefficients on the behavior of the system is investigated.

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