Open AccessJournal Article
Primary resonance of a rotating composite shaft with geometrical nonlineary
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TLDR
In this article, the primary resonance of a simply supported rotating composite shaft with geometrical nonlineary is studied, where a variational-asymptotical method applied to anisotropic thin-walled closed-cross-sectional beams is used to describe the displacement and strain fields of the composite shafts.Abstract:
The primary resonance of a simply supported rotating composite shafts with geometrical nonlineary is studied. The composite shaft is modeled as a thin-walled Euler-Bernoulli beam. A variational-asymptotical method (VAM) applied to anisotropic thin-walled closed-cross-sectional beams is used to describe the displacement and strain fields of the composite shafts. The geometrical nonlineary is considered in the relationships of strain and displacement of the shaft. The nonlinear extensional-bending-torsional equations of motion for the composite shaft are derived by using the Hamilton principle. In order to emphatically study nonlinear transverse bending vibration, the effects of extensional and torsional deformations are ignored. By means of the method of multiple scales the approximation solution of primary resonance of transverse bending vibration is obtained. The Galerkin method is employed to reduce the governing equations to the ordinary differential equations. By using fourth-order Runge-Kutta method the time histories, phase diagrams and power spectrums are plotted. The study shows the effect of the external damping, ply angle, eccentricity, ratios of length over radius, ratios of radius over thickness and rotating speed on nonlinear dynamic behavior of the shaft. Specifically, the numerical simulation results show that the shaft exhibits the complex dynamic behavior including periodic, quasi-periodic and chaotic motion.read more
Citations
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Journal ArticleDOI
Flexural–flexural–extensional–torsional vibration analysis of composite spinning shafts with geometrical nonlinearity
TL;DR: In this paper, an analytical expression as a function of the system parameters describing the forced vibration of a spinning composite shaft in the neighborhood of the primary resonance is obtained, and the results are compared with both one and two modes, and it is shown that although the excitation is tuned in the neighbourhood of the first mode, one-mode discretization is not sufficient and it leads to inaccurate results.
Journal ArticleDOI
Dynamic analysis of nonlinear rotating composite shafts excited by non-ideal energy source
H. R. Kafi,S.A.A. Hosseini +1 more
An active control scheme for rotor vibration based on predictive variable learning gain
Huimin Xu,Xuedong Zhang +1 more
TL;DR: The control technique can reduce transient growth and can significantly increase the stability of the rotor system and the improved method achieves arbitrary damping and gets a high speed and accuracy output tracking for mechanical system.
Journal ArticleDOI
Non-stationary nonlinear analysis of a composite rotating shaft passing through critical speed
H. R. Kafi,S.A.A. Hosseini +1 more
TL;DR: In this paper, the nonlinear non-stationary dynamics of a nonlinear composite shaft passing through critical speed is studied, which is due to the large amplitude of shaft vibration.
Book ChapterDOI
The Program for Calculating the Critical Speed of Shaft Rotation
TL;DR: The critical speed of shaft rotation is quite complicated analytically, and the approximate solution methods produce a large error as mentioned in this paper, thus, to have a special computer-aided program, allowing to automate such calculations shall be very useful for the companies, providing the repair services.
References
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Journal ArticleDOI
Formulation and evaluation of an analytical model for composite box-beams
Edward C. Smith,Inderjit Chopra +1 more
TL;DR: In this article, a direct method for determining the effective elastic stiffnesses and deformation behavior of composite box-beam (BB) structures is developed analytically, validated, and demonstrated.
Journal ArticleDOI
Theory of anisotropic thin-walled closed-cross-section beams
TL;DR: In this paper, a variationally and asymptotically consistent theory is developed in order to derive the governing equations of anisotropic thin-walled beams with closed sections.
Journal ArticleDOI
Free vibrations analysis of a rotating shaft with nonlinearities in curvature and inertia
S.A.A. Hosseini,Siamak E. Khadem +1 more
TL;DR: In this article, the free vibrations of an in-extensional simply supported rotating shaft with nonlinear curvature and inertia are considered, and the results of perturbation method are validated with numerical simulations.
Journal ArticleDOI
Composite shaft rotordynamic analysis using a layerwise theory
Satinder Singh,Kshitij Gupta +1 more
TL;DR: In this paper, the rotordynamic analysis of a composite rotor supported on general, eight coefficient bearings, obtained by using conventional equivalent modulus beam theory (EMBT), and a layerwise beam theory derived from an existing layerwise shell theory, respectively, is presented.