Vibration analysis of functionally graded thin-walled rotating blades under high temperature supersonic flow using the differential quadrature method

Fazelzadeh, S. Ahmad; Malekzadeh, P.; Zahedinejad, P.; Hosseini, Mohammad

doi:10.1016/j.jsv.2007.05.011

Cited by 93 publications

(45 citation statements)

References 21 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Shu and Wang (1999) applied GDQM for vibration analysis of a rectangular plate with combined and non-uniform boundary conditions. Fazelzadeh et al (2007) investigated the vibration of a rotating thin walled-blade made of functionally graded materials operating under high temperature supersonic gas flow with DQM. Talebitooti et al (2013) presented the effects of boundary conditions and axial loading on the frequency characteristics of rotating laminated conical shells with orthogonal stiffeners using GDQM.…”

Section: Introductionmentioning

confidence: 99%

Aerothermoelastic Analysis of Functionally Graded Plates Using Generalized Differential Quadrature Method

Shahverdi

Khalafi

Noori

2016

Lat. Am. j. solids struct.

View full text Add to dashboard Cite

In the present paper, the aerothermoelastic behavior of Functionally Graded (FG) plates under supersonic airflow is investigated using Generalized Differential Quadrature Method (GDQM). The structural model is considered based on the classical plate theory and the von Karman strain-displacement relations are utilized to involve the nonlinear behavior of the plate. To consider the supersonic aerodynamic loads on the plate, the first order piston theory is applied. The material properties of the FG panel are assumed to be temperature independent and alter in the thickness direction according to a power law distribution. The temperature distribution on the surface of the plate is assumed to be constant and in the thickness direction is obtained by one-dimensional steady conductive heat transfer equation. The discretized governing equations via GDQM are solved by the fourth order Runge-Kutta method. Comparison of the obtained results with those available in literature confirms the accuracy and ability of the GDQM to perform the aerothermoelastic analysis of FG plates. Also, the effect of some important parameters such as Mach number, inplane thermal load, plate aspect ratio and volume fraction index on the plate aerothermoelastic behavior is examined.

show abstract

Section: Introductionmentioning

confidence: 99%

Aerothermoelastic Analysis of Functionally Graded Plates Using Generalized Differential Quadrature Method

Shahverdi

Khalafi

Noori

2016

Lat. Am. j. solids struct.

View full text Add to dashboard Cite

show abstract

“…They assumed second-order shear deformation theory for frequency equation using Navier's method. Fazelzadeh et al 16 have investigated aerothermoelastic behavior of the rotating FGM thinwalled beam 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

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.

show abstract

“…The works of Oh et al (2003Oh et al ( -2005 and Fazelzadeh et al (2007aFazelzadeh et al ( -2007b are among the few papers devoted to the mechanics of thin-walled beams constructed with functionally graded materials. The scope of these papers has been mainly directed towards the analysis of rotating beams and secondarily to the analysis of thermo-elastic coupling effects associated with graded properties.…”

Section: Introductionmentioning

confidence: 99%

Dynamic analysis of a spinning functionally graded material shaft by the p - version of the finite element method

Boukhalfa

2014

Lat. Am. j. solids struct.

View full text Add to dashboard Cite

This paper is concerned with the dynamic behavior of the spinning Functionally Graded Material (FGM) shaft on rigid bearings. A pversion, hierarchical finite element is employed to define the model. A theoretical study allows the establishment of the kinetic energy and the strain energy of the shaft, necessary to the result of the equations of motion. In this model the transverse shear deformation, rotary inertia and gyroscopic effects have been incorporated. A hierarchical beam finite element with six degrees of freedom per node is developed and used to model the shaft. A program is elaborate for the calculation of the natural frequencies of a spinning FGM shaft. To verify the present model, the results are compared with those available in the literature. The efficiency and accuracy of the methods employed are discussed.

show abstract

Vibration analysis of functionally graded thin-walled rotating blades under high temperature supersonic flow using the differential quadrature method

Cited by 93 publications

References 21 publications

Aerothermoelastic Analysis of Functionally Graded Plates Using Generalized Differential Quadrature Method

Aerothermoelastic Analysis of Functionally Graded Plates Using Generalized Differential Quadrature Method

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

Dynamic analysis of a spinning functionally graded material shaft by the p - version of the finite element method

Contact Info

Product

Resources

About