The effect of a concentrated mass on the modal characteristics of a rotating cantilever beam

Yoo, Hong Hee; Seo, Sang−Ho; Huh, Kunsoo

doi:10.1243/0954406021525098

Cited by 29 publications

(26 citation statements)

References 11 publications

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“…With the angular velocity ratio γ increasing, the deviation of the natural frequencies will further enlarge in the same hub radius ratio. From this table, we can find that the results of references [29,31] and the FOAC model are nearly the same, while the results of the ANCF model proposed in this paper are different from these three. When the angular velocity ratio is small, the four results are nearly the same.…”

Section: Numerical Resultsmentioning

confidence: 74%

“…It is just the difference between the dynamic model considering the axial deformation effect proposed in this paper and the dynamic model proposed in reference [13]. In Table 3, the results of the first and the second natural frequencies obtained by using the ANCF method proposed in this paper are compared with these introduced in references [29], [31] and the FOAC model, which are all based on the floating coordinate system. Since the lowest two chordwise bending natural frequencies of a rotating beam with a concentrated mass are not available in the literatures, the results of the rotating beam without a concentrated mass are compared.…”

Section: Numerical Resultsmentioning

confidence: 98%

“…In order to simplify the analysis, the following assumptions are made as what shown in [29]. The beam has homogeneous, elastic and isotropic material properties.…”

Section: Physical Descriptionmentioning

confidence: 99%

“…Simulation and comparison show that even a small tip mass may affect the dynamic characteristics and the end position of the hub-beam system greatly, which may also result in the largening of vibrating amplitude and the descending of vibrating frequency of the beam. Yoo [29] used the hybrid deformation variables to investigate the modal characteristics of a rotating cantilever beam with a concentrated mass located in an arbitrary position. It was found that the magnitude and the location of the concentrated mass had great influence on the modal characteristics of the rotating beam.…”

Section: Introductionmentioning

confidence: 99%

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Modal characteristics of a rotating flexible beam with a concentrated mass based on the absolute nodal coordinate formulation

Zhang

Chen

et al. 2016

Nonlinear Dyn

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A new dynamic model of a rotating flexible beam with a concentrated mass located in arbitrary position is derived based on the absolute nodal coordinate formulation, and its modal characteristics are investigated in this paper. To consider the concentrated mass at an arbitrary location of the beam, a Dirac's delta function is used to express the mass per unit length of the beam. Based on the proposed dynamic model, the frequency analysis is performed. The nonlinear equation is transformed into the linear one via employing the linear perturbation analysis method. The stiffness matrix of static equilibrium of the system under the deformed condition is obtained, in which the effect of coupling between the longitudinal deformation and transversal deformation is included. This means even if only the chordwise bending equation is solved, the longitudinal vibration effect can be still considered. As we know, once the longitudinal deformation is large, it will significantly affect the chordwise bending vibration. So the proposed model in this paper is more accurate than the traditional dynamic models which are usually lack of the coupling terms between the longitudinal deformation and transversal deformation. In fact, the traditional dynamic models for the chordwise vibration analysis in the existing literature are usually linear due to neglecting the coupling terms, and consequently, they are only suitable for the modal characteristic analysis of a beam under small deformations. In order to get some general conclusions of the natural frequencies and mode shapes, the equation which governs the chordwise bending vibration of the rotating beam is transformed into a dimensionless form. The dynamic model presented in this paper is nonlinear and can be conveniently used to analyze the modal characteristics of a rotating flexible beam with large deformations. To demonstrate the power of the new dynamic model presented in this paper, the dynamic simulations involving the comparisons between the different frequencies obtained using the model proposed in this paper and the models in the existing literature and the investigating in frequency veering and mode shift phenomena are given. The simulation results show that the angular velocity of the flexible beam will give rise to the phenomena of the natural frequency loci veering and the associated mode shift which is verified in the previous studies. In addition, the phenomena of the natural frequency loci veering rather than crossing can 123 X. Zhang et al.be observed due to the changing of the magnitude of the concentrated mass or of the location of the concentrated mass which are found for the first time. Furthermore, there is an interesting phenomenon that the natural frequency loci will veer more than once due to different types of mode coupling between the bending and stretching vibrations of the rotating beam. At the same time, the mode shift phenomenon will occur correspondingly. Additionally, the characteristics of the vibration nodes are also investigated in this paper.

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Section: Numerical Resultsmentioning

confidence: 74%

Section: Numerical Resultsmentioning

confidence: 98%

“…In order to simplify the analysis, the following assumptions are made as what shown in [29]. The beam has homogeneous, elastic and isotropic material properties.…”

Section: Physical Descriptionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Modal characteristics of a rotating flexible beam with a concentrated mass based on the absolute nodal coordinate formulation

Zhang

Chen

et al. 2016

Nonlinear Dyn

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“…최근에는 Yoo가 제시 한 방법을 사용하여 다양한 형상을 갖는 외팔보에 관한 연구가 이루어져 왔다. 그 중에는 집중질량을 가지는 외팔보 (9) , 초기 비틀림 각을 가지는 외팔보 (10) , 단편 테이퍼를 가지는 멀티 패킷 블레이드 시스 템 (11) …”

Section: 서 론unclassified

Vibration Analysis of a Rotating Blade Considering Pre-twist Angle, Cross Section Taper and a Concentrated Mass

Kim¹,

Yoo

2013

Transactions of the Korean Society for Noise and Vibration Engi

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Equations of motion of a rotating blade considering pre-twist angle, cross section taper and a concentrated mass are derived using the hybrid deformation variable modeling method. For the modeling of a concentrated mass which is located at an arbitrary position of the blade, a Dirac delta function is employed for the mass density function. The final equations for the vibration analysis are transformed into a dimensionless form using several dimensionless parameters. The effects of the dimensionless parameters on the vibration characteristics of the rotating blade are investigated through numerical analysis. . 이후 Kane은 외팔보의 운동방정식 유도를 위한 새로운 방법을 제시하였고

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Frequency Analysis of the In-Plane Rotating Hub-Beam System Considering Effects of the Hub

Zhang

Ding

2015

Intelligent Robotics and Applications

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The effect of a concentrated mass on the modal characteristics of a rotating cantilever beam

Cited by 29 publications

References 11 publications

Modal characteristics of a rotating flexible beam with a concentrated mass based on the absolute nodal coordinate formulation

Modal characteristics of a rotating flexible beam with a concentrated mass based on the absolute nodal coordinate formulation

Vibration Analysis of a Rotating Blade Considering Pre-twist Angle, Cross Section Taper and a Concentrated Mass

Frequency Analysis of the In-Plane Rotating Hub-Beam System Considering Effects of the Hub

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