Journal ArticleDOI
Dynamic characteristics of rotating pretwisted clamped-clamped beam under thermal stress
Bo Zhang,Yueming Li,Wei-Zhen Lu +2 more
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TLDR
In this article, the effects of thermal stress on the vibration characteristics, buckling limit and critical speed of a rotating pretwisted beam clamped to rigid hub at a stagger angle were investigated.Abstract:
Effects of thermal stress on the vibration characteristics, buckling limit and critical speed of a rotating pretwisted beam clamped to rigid hub at a stagger angle were investigated. By considering the work done by thermal stress, the thermal influence on stiffness matrix was introduced in the dynamic model. The motion equations were derived based on Lagrange equation by employing three pure Cartesian deformation variables combined with nonlinear von Karman strain formula. Numerical investigations studied the modal characteristics of the beam. Numerical results calculated from a commercial finite element code and obtained with the present modeling method were in good agreement with the previous results reported in the literature. The combined softening effects due to the thermal stress and the rotation motion were observed. Furthermore, it is shown that the inclusion of thermal stress is necessary for blades operating under a high temperature field. Buckling thermal loads and the critical rotating speed were calculated through solving the corresponding nonlinear equations numerically, and some pertinent conclusions are outlined. It is also found that the peak value position of the first mode shape approaches to the tip of blade with the increment of rotating speed and hub radius. However, the variation in the environment temperature causes only a slight alteration in the mode shape.read more
Citations
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Journal ArticleDOI
Free vibration of rotating pretwisted functionally graded composite cylindrical panel reinforced with graphene platelets
Y. Niu,Wen Zhang,X.Y. Guo +2 more
TL;DR: In this paper, the free vibrations of the rotating pretwisted functionally graded (FG) composite cylindrical panels reinforced with the graphene platelets (GPLs) were investigated by considering the cantilever boundary conditions.
Journal ArticleDOI
Saturation and stability in internal resonance of a rotating blade under thermal gradient
TL;DR: In this paper, the primary resonance of a rotating pretwisted blade subject to a flapwise natural frequency gas excitation under thermal gradient in the presence of 2:1 internal resonance was revealed.
Journal ArticleDOI
Super-harmonic resonances of a rotating pre-deformed blade subjected to gas pressure
TL;DR: In this paper, the super-harmonic resonances combined with 2:1 internal resonance of a rotating blade subjected to strong gas pressure were investigated, and the steady-state response of the rotating blade was calculated via the method of multiple scales.
Journal ArticleDOI
Influence of the boundary relaxation on the free vibration of rotating composite laminated Timoshenko beams
TL;DR: In this article, the influence of boundary relaxation on the free vibration characteristics of a rotating composite laminated Timoshenko beam is studied based on the first order shear theory, in which the Possion's effect is also considered.
Journal ArticleDOI
Study on theoretical modeling and mechanical performance of a spinning porous graphene nanoplatelet reinforced beam attached with double blades
TL;DR: In this article , theoretical modeling and vibration characteristics of a double-bladed beam assembly restricted by elastic supports are studied, where Graphene nanoplatelet reinforcement and porous foamed metal matrix are adopted to make up the assembly structure.
References
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Journal ArticleDOI
Vibration analysis of rotating cantilever beams
Hong Hee Yoo,Sang Ha Shin +1 more
TL;DR: In this paper, a new dynamic modeling method was proposed to derive the equation of motion of a rotating cantilever beam, which can be directly used for the vibration analysis including the coupling effect, which could not be considered in the conventional modelling method.
Journal ArticleDOI
Free vibration of rotating tapered beams using the dynamic stiffness method
TL;DR: In this article, the free bending vibration of rotating tapered beams is investigated by using the dynamic stiffness method, and the expressions for bending rotation, shear force and bending moment at any cross-section of the beam are also obtained in explicit analytical form.
Journal ArticleDOI
Free vibration of centrifugally stiffened uniform and tapered beams using the dynamic stiffness method
TL;DR: In this article, the dynamic stiffness matrix of a uniform rotating Bernoulli-Euler beam is derived using the Frobenius method of solution in power series, which includes the presence of an axial force at the outboard end of the beam in addition to the usual centrifugal force arising from the rotational motion.
Book
Turbomachine blade vibration
TL;DR: In this paper, the authors present a detailed analysis of single and coupled blade-disc vibrations, as well as the effect of small aspect ratio on the number of vibrations.
Journal ArticleDOI
Nonlinear vibrations of blade with varying rotating speed
TL;DR: In this paper, the authors investigated the nonlinear dynamic responses of the rotating blade with varying rotating speed under high-temperature supersonic gas flow, and derived a nonlinear partial differential governing equation of motion for the pretwist, presetting, thin-walled rotating beam.
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