Vibration analysis of rotating cantilever beams orienting inward

Oh, Yutaek; Yoo, Hong Hee

doi:10.1007/s12206-016-0829-7

Cited by 16 publications

(2 citation statements)

References 13 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In this regard, articles involving TFGM [24][25][26][27] and AFGM 28,29 are found in the literature. The problem involving vibration behavior of homogeneous 30 and FGM 31 cantilevers attached to the inside of a rotating hub was also studied.…”

Section: Introductionmentioning

confidence: 99%

Modified couple stress-based free vibration behavior of pre-twisted tapered BFGM rotating micro beam considering spin-softening and Coriolis effects

Bhattacharya

Das

2019

Proceedings of the Institution of Mechanical Engineers, Part L:

View full text Add to dashboard Cite

An improved mathematical model of pre-twisted tapered rotating micro beams made of bidirectional functionally graded material (BFGM) is presented to study its free vibration behavior. The effects of spin-softening and Coriolis acceleration are incorporated, and modified couple stress theory is employed to address the size effect. The mathematical formulation is based on first-order shear deformation theory and is developed in a global non-inertial frame incorporating appropriate transformations between the global inertial frame and the local non-inertial frame. Two different but interrelated steps are employed, where the first step determines the centrifugally deformed configuration using minimum potential energy principle, and the second step determines the free vibration behavior through tangent stiffness of the deformed rotating beam using Hamilton's principle. The direct use of tangent stiffness considers the centrifugal stiffening effect through von Kármán non-linearity and bypasses the need of strain energy functional for the vibrating beam. The governing equations are transformed to an eigenvalue problem through state-space approach and solved following Ritz method. The effects of spin-softening, Coriolis acceleration, and pre-twist angle are shown and discussed. The effects of different parameters such as size-dependent parameter, aspect ratio, material gradation indices, operating temperature, FGM constituent, taperness parameters, and slender parameter are discussed.

show abstract

Section: Introductionmentioning

confidence: 99%

Modified couple stress-based free vibration behavior of pre-twisted tapered BFGM rotating micro beam considering spin-softening and Coriolis effects

Bhattacharya

Das

2019

Proceedings of the Institution of Mechanical Engineers, Part L:

View full text Add to dashboard Cite

show abstract

“…One of the extensively studied topics is free vibration analysis or the computation of dynamic characteristics, which is a critical design and performance evaluation criteria designating the life of structure, operating limits and stability. Therefore, numerous numerical methods such as Adomian decomposition (Adair and Jaeger, 2018a, 2018b; Mao, 2014), differential transformation (Mei, 2008; Nourifar et al , 2018; Kaya, 2006; Kumar et al , 2019; Kurt and Kaya, 2019; Ozdemir and Kaya, 2006a, 2006b; Rajasekaran, 2013), differential quadrature (Bambill et al , 2010; Choi et al , 1999), dynamic stiffness (Banerjee et al , 2006; Banerjee and Kennedy, 2014), finite element (Abbas, 1986; Chung and Yoo, 2002; Hoa, 1979; Hodges and Rutkowski, 1981; Wang and Werely, 2004), Fourier series (Chen and Du, 2019), mesh free Galerkin (Panchore et al , 2018), power series (Adair and Jaeger, 2018a, 2018b; Huang et al , 2010), Rayleigh-Ritz (Oh and Yoo, 2016; Ramesh and Rao, 2014; Roy and Meguid, 2018), Ritz (Navazi et al , 2017), transfer matrix (Lee and Lee, 2018, 2020; Rui et al , 2018) and variational iteration (Chen et al , 2016) have been used to avoid possible resonance cases by computing the dynamic characteristics of rotating-beam structures more accurately.…”

Section: Introductionmentioning

confidence: 99%

Free vibration analysis of a rotating double tapered beam with flexible root via differential quadrature method

Yavuz

Özkol

2021

AEAT

View full text Add to dashboard Cite

Purpose This study aims to develop the governing differential equation and to analyze the free vibration of a rotating non-uniform beam having a flexible root and setting angle for variations in operating conditions and structural design parameters. Design/methodology/approach Hamiltonian principle is used to derive the flapwise bending motion of the structure, and the governing differential equations are solved numerically by using differential quadrature with satisfactory accuracy and computation time. Findings The results obtained by using the differential quadrature method (DQM) are compared to results of previous studies in the open literature to show the power of the used method. Important results affecting the dynamics characteristics of a rotating beam are tabulated and illustrated in concerned figures to show the effect of investigated design parameters and operating conditions. Originality/value The principal novelty of this paper arises from the application of the DQM to a rotating non-uniform beam with flexible root and deriving new governing differential equation including various parameters such as rotary inertia, setting angle, taper ratios, root flexibility, hub radius and rotational speed. Also, the application of the used numerical method is expressed clearly step by step with the algorithm scheme.

show abstract

Dynamic modeling and resonant analysis of rotating internally connected laminated piezoelectric beams

Ma,

Chen,

et al. 2023

Acta Mech

View full text Add to dashboard Cite

Vibration analysis of rotating cantilever beams orienting inward

Cited by 16 publications

References 13 publications

Modified couple stress-based free vibration behavior of pre-twisted tapered BFGM rotating micro beam considering spin-softening and Coriolis effects

Modified couple stress-based free vibration behavior of pre-twisted tapered BFGM rotating micro beam considering spin-softening and Coriolis effects

Free vibration analysis of a rotating double tapered beam with flexible root via differential quadrature method

Dynamic modeling and resonant analysis of rotating internally connected laminated piezoelectric beams

Contact Info

Product

Resources

About