Vibration characteristics of a rotating blade with localized damage including the effects of shear deformation and rotary inertia

Datta, P. K.; Ganguli, Ranjan

doi:10.1016/0045-7949(90)90221-m

Cited by 22 publications

(6 citation statements)

References 9 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Several conventional finite element method based approaches for rotating beams have been discussed in the literature (Putter and Manor, 1978;Hodges, 1979;Hodges and Rutkowski, 1981;Datta and Ganguli, 1990;Chung and Yoo, 2002). However, the convergence of the CFEM models depend on the number of elements used.…”

Section: Introductionmentioning

confidence: 99%

Free vibration and wave propagation analysis of uniform and tapered rotating beams using spectrally formulated finite elements

Vinod

Gopalakrishnan

Ganguli

2007

International Journal of Solids and Structures

View full text Add to dashboard Cite

This paper presents a formulation of an approximate spectral element for uniform and tapered rotating Euler-Bernoulli beams. The formulation takes into account the varying centrifugal force, mass and bending stiffness. The dynamic stiffness matrix is constructed using the weak form of the governing differential equation in the frequency domain, where two different interpolating functions for the transverse displacement are used for the element formulation. Both free vibration and wave propagation analysis is performed using the formulated elements. The studies show that the formulated element predicts results, that compare well with the solution available in the literature, at a fraction of the computational effort. In addition, for wave propagation analysis, the element shows superior convergence.

show abstract

Section: Introductionmentioning

confidence: 99%

Free vibration and wave propagation analysis of uniform and tapered rotating beams using spectrally formulated finite elements

Vinod

Gopalakrishnan

Ganguli

2007

International Journal of Solids and Structures

View full text Add to dashboard Cite

show abstract

“…where = / , Φ( ) = ( )/ , = / , = √ Ω 2 4 / is the dimensionless rotating speed and = √ 0 2 4 / is the dimensionless natural frequency. According to the AMDM [11][12][13][14][15][16][17][18], Φ( ) in (5) can be expressed as an infinite series:…”

Section: Amdm For the Rotating Beamsmentioning

confidence: 99%

“…Substituting (11), (12), and (20) into (13), then the mode shape function can be obtained. By normalizing (13), the normalized mode shape is defined as follows:…”

Section: Natural Frequencies and Mode Shapesmentioning

confidence: 99%

See 1 more Smart Citation

Application of Adomian Modified Decomposition Method to Free Vibration Analysis of Rotating Beams

Mao

2013

Mathematical Problems in Engineering

View full text Add to dashboard Cite

The Adomian modified decomposition method (AMDM) is employed in this paper for dynamic analysis of a rotating Euler-Bernoulli beam under various boundary conditions. Based on AMDM, the governing differential equation for the rotating beam becomes a recursive algebraic equation. By using the boundary condition equations, the dimensionless natural frequencies and corresponding mode shapes can be easily obtained simultaneously. The computed results for different boundary conditions as well as different offset length and rotational speeds are presented. The accuracy is assured from the convergence and comparison published results. It is shown that the AMDM offers an accurate and effective method of free vibration analysis of rotating beams with arbitrary boundary conditions.

show abstract

“…These involved a power series solution and used the Frobenius method to compute the roots of the corresponding differential equation [11,12]. Conventional finite element method (CFEM) has been used to solve the natural frequencies of many rotor analysis problems [13][14][15][16][17][18][19][20][21][22]. A spectral finite element method (SFEM) is proposed to develop a low-degree-of-freedom model for dynamic analysis of rotating tapered beams [23].…”

mentioning

confidence: 99%

Flapwise Vibration Computations of Coupled Helicopter Rotor/Fuselage: Application of Multibody System Dynamics

et al. 2018

View full text Add to dashboard Cite

Natural vibration characteristics of rotating blades are of fundamental importance from the viewpoint of maneuvering, blade life, vibration levels, aeroelastic, and stability. Helicopters may have serious resonant vibration problems when the excitation frequencies are equal to some multiple of the rotational speed. To ensure that conditions susceptible to resonance do not exist within the range of operating speeds, it is necessary that the natural frequencies and mode shapes be determined accurately. On one hand, as the complexity of multibody systems and the methods used for their design and control increases, the need for more elegant formulations of the equations of motion becomes an issue of paramount importance. On the other hand, although processor speed has increased dramatically over the last decade, development of computationally efficient algorithms is still a major issue in multibody dynamics. The transfer matrix method for multibody systems (MSTMM) accounts for both aspects. Based on many advantages of MSTMM in studying multibody system dynamics, a scenario of dynamics coupling between the flexible twin blade rotor and flexible fuselage of a typical helicopter model is proposed. The dynamical model of the coupled system, its topological figure, the overall transfer equation, and the characteristics equation are developed. The flapwise vibrations characteristics are carried out to obtain uncoupled/coupled twin blade/fuselage system natural modes and frequencies as a function of rotor speed. Examples are performed to validate with those published in the literature and produced by Workbench ANSYS.

show abstract

Vibration characteristics of a rotating blade with localized damage including the effects of shear deformation and rotary inertia

Cited by 22 publications

References 9 publications

Free vibration and wave propagation analysis of uniform and tapered rotating beams using spectrally formulated finite elements

Free vibration and wave propagation analysis of uniform and tapered rotating beams using spectrally formulated finite elements

Application of Adomian Modified Decomposition Method to Free Vibration Analysis of Rotating Beams

Flapwise Vibration Computations of Coupled Helicopter Rotor/Fuselage: Application of Multibody System Dynamics

Contact Info

Product

Resources

About