Free Vibration Analysis of Triply Coupled Pre-Twisted Rotor Blades by the Differential Quadrature Method

Sepahi, O.; Forouzan, Mohammad Reza; Malekzadeh, P.

doi:10.1142/s0219455411004014

Cited by 4 publications

(2 citation statements)

References 19 publications

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“…The effect of geometric nonlinearity on the free vibration of thin isotropic plates was studied by Saha 4 using a numerical methodology. Sepahi et al 5 investigated the dynamic characteristics of a triple coupled pretwisted rotor blade using differential quadrature method.…”

Section: Introductionmentioning

confidence: 99%

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Flap wise bending vibration and dynamic stability of rotating functionally graded material plates in thermal environments

Ramu

Mohanty

2016

Proceedings of the Institution of Mechanical Engineers, Part G:

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This paper deals with the study of the flapwise bending vibration and dynamic stability of rotating functionally graded material plates in thermal environments. A finite element formulation is derived for modal and dynamic stability analyses of rotating functionally graded material plates using first-order shear deformation theory. Temperature-dependent material properties of the plates are considered in the analysis and a simple power law is assumed for composition of constituent materials to vary along the thickness direction. The same power law is also proposed in thermal environments for temperature variation across the thickness of the plate. Some numerical results obtained from the present method are compared with numerical results available in the literature and are found to be in good agreement. Parametric investigation is carried out thoroughly to study the effect of the temperature rise, hub radius, and rotational speed on vibration and the dynamic stability of rotating plate in thermal environment. Bolotin's method is used to generate the boundaries of stability and instability regions. These instability regions are plotted in the parameter space with the nondimensional dynamic load and excitation frequency. It is observed that the natural frequencies reduce with an increase in temperature rise. Increase in rotational speed and hub radius results in increase of natural frequencies of vibration. The rise in temperature leads to reduction in the dynamic stability of plate. Increase in rotational speed and hub radius enhances the dynamic stability of the rotating plate.

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Section: Introductionmentioning

confidence: 99%

“…Sepahi et al. 5 investigated the dynamic characteristics of a triple coupled pretwisted rotor blade using differential quadrature method.…”

Section: Introductionmentioning

confidence: 99%

Flap wise bending vibration and dynamic stability of rotating functionally graded material plates in thermal environments

Ramu

Mohanty

2016

Proceedings of the Institution of Mechanical Engineers, Part G:

View full text Add to dashboard Cite

show abstract

On the dynamics of rotating cracked functionally graded blades reinforced with graphene nanoplatelets

Guo

Ouyang

Yang

et al. 2021

Engineering Structures

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On Elastoplastic Buckling Analysis of Cylinders Under Nonproportional Loading by Differential Quadrature Method

Shamass

Alfano

Guarracino

2017

Int. J. Str. Stab. Dyn.

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The paper investigates the elastoplastic buckling of thin circular shells subjected to nonproportional loading consisting of axial tensile stress and external pressure. The governing equations of buckling for cylindrical shells derived by Flugge serve as the basis of analysis. To capture the elastic/plastic behavior, two plasticity theories are considered; the flow theory and the deformation theory of plasticity. Plastic buckling pressures for cylinders with various combinations of boundary conditions are presented for which no analytical solutions are available. The results obtained from the flow and deformation theories confirm that, under over-constrained kinematic assumptions, the deformation theory tends to provide lower values of buckling pressure and the discrepancies in the results from the two plasticity theories increase with increasing thickness-to-radius ratios, tensile stresses, boundary clamping and E/[Formula: see text] ratios. The plastic buckling results obtained by means of the differential quadrature method are compared with carefully conducted FEA results for both the flow and the deformation theory of plasticity. The reasons underlying the apparent plastic buckling paradox are thus investigated for a vast class of boundary conditions and loads.

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Free Vibration Analysis of Triply Coupled Pre-Twisted Rotor Blades by the Differential Quadrature Method

Cited by 4 publications

References 19 publications

Flap wise bending vibration and dynamic stability of rotating functionally graded material plates in thermal environments

Flap wise bending vibration and dynamic stability of rotating functionally graded material plates in thermal environments

On the dynamics of rotating cracked functionally graded blades reinforced with graphene nanoplatelets

On Elastoplastic Buckling Analysis of Cylinders Under Nonproportional Loading by Differential Quadrature Method

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