free transverse vibration analysis of axially

Free Vibration Analysis of Rotating Axially Functionally

2020-1-27The free vibration of rotating tapered Timoshenko beams (TBs) made of the axially functionally graded materials (FGMs) is studied The Chebyshev polynomials multiplied by the boundary functions are selected as the admissible functions in the Ritz minimization procedure which is called the Chebyshev–Ritz method

2020-6-12Steady-state transverse response in planar vibration of axially moving viscoelastic beams Journal of Vibration and Acoustics-Transactions of the ASME 2010 132(1): 011009-1-011009-9 Li-Qun Chen Hao Chen Hu Ding C W Lim Non-linear combination parametric resonance of axially accelerating viscoelastic strings constituted by the standard linear solid model

Natural frequencies of nonlinear vibration of axially

2010-12-4ear free transverse vibration of axially moving beams The numerical results are compared with the first two natural frequencies of linear free transverse vibration of an axially moving beam And results indicate that H Ding ( ) L -Q Chen Shanghai Institute of Applied Mathematics and Mechanics Shanghai University Shanghai 200072 China

Complex modal analysis of transverse free vibrations

We investigate the transverse free vibration behaviour of axially moving nanobeams based on the nonlocal strain gradient theory Considering the geometrical nonlinearity which takes the form of von Krmn strains the coupled plane motion equations and related boundary conditions of a new size-dependent beam model of Euler-Bernoulli type are developed using the generalized Hamilton principle

On dynamics of a rotating hub

Fang J Zhou D Free vibration analysis of rotating axially functionally graded tapered Timoshenko beams International Journal of Structural Stability and Dynamics Vol 16 Issue 5 2016 p 1550007 Oh Y Yoo H H Vibration analysis of rotating pretwisted tapered blades made of functionally graded materials International Journal of

2020-6-12Steady-state transverse response in planar vibration of axially moving viscoelastic beams Journal of Vibration and Acoustics-Transactions of the ASME 2010 132(1): 011009-1-011009-9 Li-Qun Chen Hao Chen Hu Ding C W Lim Non-linear combination parametric resonance of axially accelerating viscoelastic strings constituted by the standard linear solid model

TRANSVERSE VIBRATION OF TWO AXIALLY MOVING

2011-10-15modal analysis and Green's function method [4 10] Wickert investigated the nonlinear vibration of an axially moving tensioned Euler-Bernoulli beam [11] Ulsoy investigated the transverse vibration with coupling between spans of axially moving beam and the effect of tension variation [12]

Energetics and Conserved Functional of Axially Moving

2010-1-3supports It is a fundamental feature of free transverse vibration of axially moving materials while the total energy is constant for an undamped non-translating string or beam Chubachi4# first dis-cussed periodicity of the energy transfer in an axially moving string Miranker 5# analyzed energetics of an axially moving

Free Vibration Analysis of Axially Functionally Graded

2020-3-6Free Vibration Analysis of Axially Functionally Graded (AFG) Cantilever Columns of a Regular Polygon Cross-Section with Constant Volume Joon Kyu Lee 1 * and Byoung Koo Lee 2 1 Department of Civil Engineering University of Seoul 163 Seoulsiripdae-ro Dongdaemun-gu Seoul 02504 Korea

Free Transverse Vibration Analysis of Axially

A new model for the free transverse vibration of axially functionally graded (FG) tapered Euler-Bernoulli beams is developed through the spline finite point method (SFPM) by investigating the effects of the variation of cross-sectional and material properties along the longitudinal directions In the proposed method the beam is discretized with a set of uniformly scattered spline nodes along

Frequencies of transverse vibration of an axially

2019-9-11One important issue in the investigation of axially moving systems is the viscoelastic constitutive relation In the present paper the effects of viscosity on the natural frequency of transverse vibration of an axially moving viscoelastic beam are studied The viscoelastic material of the moving Euler-Bernoulli beam obeys the Kelvin model

Proc IMechE Part C: Vibration analysis of axially

blades in turbo machineries In axially traveling sys-tems the transverse vibration of the moving material often becomes a serious problem in achieving good quality The axial speed of a structure may signifi-cantly affect the dynamic response of the system even at low velocity giving rise to variations of nat-ural frequencies and deflection

2020-6-12Steady-state transverse response in planar vibration of axially moving viscoelastic beams Journal of Vibration and Acoustics-Transactions of the ASME 2010 132(1): 011009-1-011009-9 Li-Qun Chen Hao Chen Hu Ding C W Lim Non-linear combination parametric resonance of axially accelerating viscoelastic strings constituted by the standard linear solid model

Free Vibration Analysis of Rotating Axially Functionally

2020-1-27The free vibration of rotating tapered Timoshenko beams (TBs) made of the axially functionally graded materials (FGMs) is studied The Chebyshev polynomials multiplied by the boundary functions are selected as the admissible functions in the Ritz minimization procedure which is called the Chebyshev–Ritz method

Modal Analysis Of Cantilever Beam

15 Modal analysis performed on composite carbon and aluminum cantilever beams Material Young's Modulus (GPa) Poisson's Ratio Density (kg / m) First Mode Frequency (Hz) Tip deflection (mm) Composite Carbon [4] J -S Wu And H-M Chou Free Vibration Analysis Of A Cantilever Beam Carrying Any Number Of Elastically Mounted Point Masses

Geometrically nonlinear free vibration analysis of axially

2017-1-17Full length article Geometrically nonlinear free vibration analysis of axially functionally graded taper beams Saurabh Kumar a Anirban Mitra b * Haraprasad Roy a a Mechanical Engineering Department National Institute of Technology Rourkela 769008 Odisha India b Department of Mechanical Engineering Jadavpur University Kolkata 700032 India article info

Natural frequencies of nonlinear vibration of axially moving

2012-5-21Both models for transverse vibration of axially moving beams have been widely used as summarized in [24 25 28] Approximate analytical results based on the two models were compared for parametric vibration [29] and free vibration [30] of axially moving beams

2016-11-9Frequencies of transverse vibration of an axially moving viscoelastic beam Journal of Vibration and Control 2017 23 (20): 3504–3514 (SCI EI) Y Q Tang D B Zhang J M Gao Vibration characteristic analysis and numerical confirmation of an axially moving plate with viscous damping Journal of Vibration and Control 2017 23: 731-743

Vibration characteristics of axially loaded tapered

Free transverse vibration Natural frequency Timoshenko beams Axially functionally graded material (AFG) Concentrated axial load Abstract: In the present article a semi-analytical technique to investigate free bending vibration behavior of axially functionally graded non-prismatic Timoshenko beam subjected to a point force at both

Free Transverse Vibration Analysis of Axially

A new model for the free transverse vibration of axially functionally graded (FG) tapered Euler-Bernoulli beams is developed through the spline finite point method (SFPM) by investigating the effects of the variation of cross-sectional and material properties along the longitudinal directions In the proposed method the beam is discretized with a set of uniformly scattered spline nodes along

NURBS

The free vibration of axially functionally graded (FG) tapered Timoshenko curved beams is studied with the numerical approach By using the non-uniform rational B-spline (NURBS) basis functions the exact geometry and the generalized displacement field are formulated Variable geometric parameters and material properties including the curvature cross-sectional area area moment of inertia

Free Vibration Analysis of Axially Functionally Graded

2020-3-6Free Vibration Analysis of Axially Functionally Graded (AFG) Cantilever Columns of a Regular Polygon Cross-Section with Constant Volume Joon Kyu Lee 1 * and Byoung Koo Lee 2 1 Department of Civil Engineering University of Seoul 163 Seoulsiripdae-ro Dongdaemun-gu Seoul 02504 Korea

Free Vibration Analysis of Axially Functionally Graded

2016-5-18Free vibration analysis of axially functionally graded beams 33 Here 1 is a rotational spring constant on left end of the beam ( =0) 2 J 3 are the rotational and translational spring constants on the right end of the beam ( =1) as shown in Fig 1 In the limit of zero or infinity spring constants

Beam Vibration

[7] presented a Wentzel Kramers Brillouin approximation-based analytical solution to free transverse vibration of a class of varied cross-section beams The analysis presented in this thesis treats the The forced transverse vibration of beams due to steady and moving loads is a very important research topic in all branches of engineering

Research Article Transverse Free Vibration of Axially

2019-7-31axially moving nonuniform systems usually are modeled as stepped or segmental beams by some ways If the transverse vibration continuously exists this will obviously ae ct the stability and position accuracy of the slender members which even can lead to the structure instability e refore vibration analysis of stepped beam is important to