Free Vibration Analysis of Rotating Pretwisted Functionally Graded Sandwich Blades

A new structural dynamic model for the free vibration characteristic analysis of rotating pretwisted functionally graded (FG) sandwich blades is developed. The sandwich blade is made up of two functionally graded skins and a homogeneous material core. The thick shell theory is applied to derive the basic equations of motion of the rotating FG sandwich blade by considering the effects of centrifugal and Coriolis forces. The mode shapes are expanded in terms of two-dimensional algebraic polynomials in the Rayleigh–Ritz method, and the static and dynamic natural frequencies of the blade are obtained. The convergence analysis is studied, and the accuracy of the proposed model is verified by comparing with the literature results and ANSYS data. The effects of frequency parameters such as the twist angle, the thickness ratio, the aspect ratio, the layer thickness ratio, the scalar parameter of volume fraction, the stagger angle, and the rotation velocity on the vibration characteristics for pretwist FG sandwich blade are investigated in detail. In addition, the phenomena of frequency locus veering and mode shape exchanging occur in the static and dynamic states. Frequency locus veering is essentially caused by the coupling between different modes.

[1]  Hong Hee Yoo,et al.  Vibration analysis of rotating pretwisted tapered blades made of functionally graded materials , 2016 .

[2]  I. L. Arteaga,et al.  A dynamic rotating blade model at an arbitrary stagger angle based on classical plate theory and the Hamilton's principle , 2013 .

[3]  Dingguo Zhang,et al.  Free vibration analysis of rotating functionally graded rectangular plates , 2016 .

[4]  J. Mantari,et al.  Dynamic analysis of functionally graded plates using a novel FSDT , 2015 .

[5]  Mohamad S. Qatu,et al.  Recent research advances on the dynamic analysis of composite shells: 2000-2009 , 2010 .

[6]  S. H. Hashemi,et al.  Free vibration analysis of rotating thick plates , 2009 .

[7]  Erasmo Carrera,et al.  Free vibration analysis of rotating composite blades via Carrera Unified Formulation , 2013 .

[8]  Sunil K. Sinha,et al.  Vibration analysis of composite airfoil blade using orthotropic thin shell bending theory , 2017 .

[9]  Jia Sun,et al.  Dynamic modeling of a multilayer rotating blade via quadratic layerwise theory , 2013 .

[10]  R. W. Claassen,et al.  Vibrations of a Rectangular Cantilever Plate , 1962 .

[11]  E. Carrera,et al.  Static, free vibration and buckling analysis of isotropic and sandwich functionally graded plates using a quasi-3D higher-order shear deformation theory and a meshless technique , 2013 .

[12]  Marco Amabili,et al.  Nonlinear Vibrations and Stability of Shells and Plates , 2008 .

[13]  N. Ganesan,et al.  COMPARISON OF BEAM AND PLATE THEORIES FOR FREE VIBRATIONS OF METAL MATRIX COMPOSITE PRE-TWISTED BLADES , 1996 .

[14]  H. Yoo,et al.  MODAL CHARACTERISTIC OF A ROTATING RECTANGULAR CANTILEVER PLATE , 2003 .

[15]  Jia Sun,et al.  General shell model for a rotating pretwisted blade , 2013 .

[16]  Liviu Librescu,et al.  Vibration of turbomachinery rotating blades made-up of functionally graded materials and operating in a high temperature field , 2003 .

[17]  Mohamad S. Qatu,et al.  Vibration of Laminated Shells and Plates , 2004 .

[18]  Arthur W. Leissa,et al.  Three-Dimensional Vibrations of Twisted Cantilevered Parallelepipeds , 1986 .

[19]  J. S. Rao,et al.  Free vibrations of rotating small aspect ratio pretwisted blades , 1987 .

[20]  N. K. Chandiramani,et al.  Vibration of higher-order-shearable pretwisted rotating composite blades , 2003 .

[21]  Robert E. Kielb,et al.  Joint research effort on vibrations of twisted plates, phase 1: Final results , 1985 .

[22]  Wei Zhang,et al.  Free vibration analysis of a pre-twisted sandwich blade with thermal barrier coatings layers , 2017 .

[23]  Jung Hun Park,et al.  Vibration analysis of rotating pre-twisted blades , 2001 .

[24]  H. Yoo,et al.  DYNAMICS OF RECTANGULAR PLATES UNDERGOING PRESCRIBED OVERALL MOTION , 2001 .

[25]  Sunil K. Sinha,et al.  Natural frequencies of a pre-twisted blade in a centrifugal force field , 2011 .

[26]  Mohamad S. Qatu,et al.  Vibration studies for laminated composite twisted cantilever plates , 1991 .

[27]  Tsuneo Tsuji,et al.  Free Vibrations of Pre-Twisted Plates : Fundamental Theory : Vibration, Control Engineering, Engineering for Industry , 1987 .

[28]  N. Mohan Rao,et al.  Free vibration analysis of pre-twisted rotating FGM beams , 2013 .

[29]  J. Reddy.  Mechanics of laminated composite plates and shells : theory and analysis , 1996 .

[30]  Oral Mehmed,et al.  On Curve Veering and Flutter of Rotating Blades , 1993 .

[31]  S. K. Kim,et al.  MODAL ANALYSIS OF ROTATING COMPOSITE CANTILEVER PLATES , 2002 .