Journal ArticleDOI
On the Steady Motions of a Rotating Elastic Rod
Reads0
Chats0
TLDR
In this article, a model for the deformation of a rotating prismatic rod-like body is developed and analyzed, which is based on the Poisson effect, and the model is simplified to a nonlinear version of a classical model for rotating rods, Numerical continuation is used to solve the boundary value problems associated with these models.Abstract:
Bunding 45 2130 Eighth Street, Suite 1, Wright-Patterson AFB, OH 45433-7765 In this paper, a model for the deformation of a rotating prismatic rod-like body is developed and analyzed. The novel feature of the model is its incorporation of the Poisson effect. As a result, it provides realistic solutions for the deformed states of steadily rotating rods. The model presented in this paper is also simplified to a nonlinear version of a classical model for rotating rods, Numerical continuation is used to solve the boundary value problems associated with these models.read more
Citations
More filters
Journal ArticleDOI
Exact formulations of non-linear planar and spatial Euler-Bernoulli beams with finite strains
TL;DR: In this paper, the exact equations of motion for non-linear planar and spatial Euler-Bernoulli beams are derived using Hamilton's principle, and the results are compared with the existing dynamic models in the literature.
Journal ArticleDOI
On coupled longitudinal and lateral vibrations of elastic rods
TL;DR: In this article, the coupled longitudinal and lateral vibrations of a rectangular parallelepiped composed of a uniform, isotropic, elastic body are examined and the cases of a free-free rod and a cantilevered rod are discussed and the results compared to existing works in the literature which use the threedimensional theory of elasticity to model the vibrations.
Journal ArticleDOI
Modified Nonlinear 3D Euler Bernoulli Beam Theory
TL;DR: In this article, the secondary extra elastic terms have been revealed in the dynamic model of a nonlinear 3D Euler-Bernoulli beam undergoing negligible elastic orientation using the fully-enhanced variation of elastic potential energy.
Journal ArticleDOI
Longitudinal vibration frequencies of steadily whirling rods
W. S. Shum,R. D. Entwistle +1 more
TL;DR: In this article, an alternative approach is developed where strains due to rotation are separated from the superimposed vibration, enabling the generally predicted lowering of longitudinal natural frequencies with rotational speed shown to be simply a result of the bulk changes in the geometry of whirling rods.
Journal Article
Dynamic Model of a Mobile Robot with Long Spatially Flexible Links
H Zohour,S M Khorsandijou +1 more
TL;DR: The obtained dynamic model is capable of creating the nonlinear 3D long Euler-Bernoulli beam and the fully-enhancing/enhanced/generalized nonlinear 2D and 3D EULB beam theories, considering a ying or a xed support.
References
More filters
Book
Nonlinear problems of elasticity
TL;DR: This book discusses the theory and applications of Bifurcation Theory and its applications to Elasticity, as well as problems in Nonlinear Elasticity and Dynamical Problems.
AUTO 2000 : CONTINUATION AND BIFURCATION SOFTWARE FOR ORDINARY DIFFERENTIAL EQUATIONS (with HomCont)
TL;DR: This is a guide to the software package AUTO for continuation and bifurcation problems in ordinary differential equations and the development of HomCont has much benefitted from various pieces of help and advice from, among others, W. W. Norton.
Book
From Equilibrium to Chaos: Practical Bifurcation and Stability Analysis
TL;DR: The from equilibrium to chaos practical bifurcation and stability analysis is genial in our digital library as discussed by the authors, an online admission to it is set as public so you can download it instantly.
Book
Structure-Borne Sound: Structural Vibrations and Sound Radiation at Audio Frequencies
TL;DR: A Little Dynamics Survey of Wave Types and Characteristics as discussed by the authors : Damping, Impedance and Mobility, Attenuation of Structure-Borne Sound, Sound Radiation from Structures, Generation and Measurement of Structure Borne Sound
Journal ArticleDOI
Vibration Modes of Centrifugally Stiffened Beams
TL;DR: In this paper, the exact frequencies and mode shapes for rotating beams in which both the flexural rigidity and the mass distribution vary linearly were solved using the Frobenius method.
Related Papers (5)
Linear and nonlinear dynamics of cantilevered cylinders in axial flow. part 2: the equations of motion
The consistent equations of the theory of plane curvilinear rods for finite displacements and linearized problems of stability
V.N. Paimushin,N.V. Polyakova +1 more