The dynamic stability and nonlinear resonance of a flexible connecting rod: Continuous parameter model
Shang-Rou Hsieh,Steven W. Shaw +1 more
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In this paper, the transverse vibrations of a flexible connecting rod in an otherwise rigid slider-crank mechanism are considered and an analytical approach using the method of multiple scales is adopted and particular emphasis is placed on nonlinear effects which arise from finite deformations.Abstract:
The transverse vibrations of a flexible connecting rod in an otherwise rigid slider-crank mechanism are considered. An analytical approach using the method of multiple scales is adopted and particular emphasis is placed on nonlinear effects which arise from finite deformations. Several nonlinear resonances and instabilities are investigated, and the influences of important system parameters on these resonances are examined in detail.read more
Citations
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Journal ArticleDOI
Linear and nonlinear dynamics of reciprocating engines
P. Metallidis,Sotirios Natsiavas +1 more
TL;DR: In this paper, a dynamic model of single and multi-cylinder reciprocating machines is presented, which may involve torsional flexibility in the crankshaft, and an approximate analytical solution is presented for a linearized version of the equations of motion, by applying a suitable asymptotic method.
Journal ArticleDOI
Statements on nonlinear dynamics behavior of a pendulum, excited by a crank-shaft-slider mechanism
Rafael Henrique Avanço,Hélio Aparecido Navarro,Reyolando M. L. R. F. Brasil,José Manoel Balthazar,Átila Madureira Bueno,Angelo Marcelo Tusset +5 more
TL;DR: In this paper, the authors obtainment and analysis of a mathematical model for the pendulum dynamics, under an excitation of a crank-slider, which is based on an extension of the mathematical model of the classical parametric pendulums.
Journal ArticleDOI
Dynamics of Slider-Crank Mechanisms with Flexible Supports and Non-Ideal Forcing
TL;DR: In this article, Lagrange's equations of motion were derived for sliding-crank mechanisms with nonlinear stiffness and non-ideal forces, and the dynamics of the resulting dynamical system was examined by solving the equations of motions numerically.
Journal ArticleDOI
Dynamics of a Flexible Slider-Crank Mechanism Driven by a Non-Ideal Source of Energy
Jörg Wauer,Peter Bührle +1 more
TL;DR: In this article, the dynamic response of a slider crank mechanism with a flexible connecting rod driven by an electric DC motor is examined, and a one-term truncation to a system of nonlinear ordinary differential equations representing the complete dynamics of the electromechanical system is presented.
Journal ArticleDOI
Experimental observations of a flexible slider crank mechanism at very high speeds
David Halbig,David G. Beale +1 more
TL;DR: In this article, a slider crank mechanism has been constructed and operated for the purpose of investigating steady state rod bending vibration induced by a very high speed crank, and the experimental results are categorized as small, intermediate and large crank length response.
References
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Book
Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
TL;DR: In this article, the authors introduce differential equations and dynamical systems, including hyperbolic sets, Sympolic Dynamics, and Strange Attractors, and global bifurcations.
A Reflection on Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
J. Guckenheimer,P. J. Holmes +1 more
TL;DR: In this paper, the authors introduce differential equations and dynamical systems, including hyperbolic sets, Sympolic Dynamics, and Strange Attractors, and global bifurcations.
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Introduction to Applied Nonlinear Dynamical Systems and Chaos
TL;DR: The Poincare-Bendixson Theorem as mentioned in this paper describes the existence, uniqueness, differentiability, and flow properties of vector fields, and is used to prove that a dynamical system is Chaotic.
Book Review: Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
John Guckenheimer,Philip Holmes +1 more
TL;DR: Guckenheimer and Holmes as discussed by the authors survey the theory and techniques needed to understand chaotic behavior of ODEs and provide a user's guide to an extensive and rapidly growing field.
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Principles of dynamics
TL;DR: In this article, the Lagrange Equations are used to model the dynamics of a rigid body and a system of parts of a particle system with respect to the velocity of a single particle.
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