Crossref Citations
                  This article has been cited by the following publications. This list is generated based on data provided by Crossref.
                                
                                    
                                    Carnegie, W.
                                     and 
                                    Thomas, J.
                                  1967.
                                  Natural Frequencies of Long Tapered Cantilevers.
                                  
                                  
                                  Aeronautical Quarterly, 
                                  Vol. 18, 
                                  Issue. 4, 
                                
                                    p. 
                                    309.
                                
                                
                        
                        
                        
                        
                                
                                    
                                    Murty, A. V. Krishna
                                     and 
                                    Prabhakaran, K. R.
                                  1969.
                                  Vibrations of Tapered Cantilever Beams and Shafts.
                                  
                                  
                                  Aeronautical Quarterly, 
                                  Vol. 20, 
                                  Issue. 2, 
                                
                                    p. 
                                    171.
                                
                                
                        
                        
                        
                        
                                
                                    
                                    PRASAD, K. S. R. K.
                                    
                                    MURTHY, A. V. KRISHNA
                                     and 
                                    MAHABALIRAJA
                                  1970.
                                  Iterative type Rayleigh-Ritz method for natural vibration problems.
                                  
                                  
                                  AIAA Journal, 
                                  Vol. 8, 
                                  Issue. 10, 
                                
                                    p. 
                                    1884.
                                
                                
                        
                        
                        
                        
                                
                                    
                                    Rao, J.S.
                                     and 
                                    Banerjee, S.
                                  1977.
                                  Coupled bending-torsional vibrations of rotating cantilever blades—method of polynomial frequency equation.
                                  
                                  
                                  Mechanism and Machine Theory, 
                                  Vol. 12, 
                                  Issue. 4, 
                                
                                    p. 
                                    271.
                                
                                
                        
                        
                        
                        
                                
                                    
                                    Gupta, R.S.
                                     and 
                                    Rao, S.S.
                                  1978.
                                  Finite element eigenvalue analysis of tapered and twisted Timoshenko beams.
                                  
                                  
                                  Journal of Sound and Vibration, 
                                  Vol. 56, 
                                  Issue. 2, 
                                
                                    p. 
                                    187.
                                
                                
                        
                        
                        
                        
                                
                                    
                                    Taber, L.A.
                                     and 
                                    Viano, D.C.
                                  1982.
                                  Comparison of analytical and experimental results for free vibration of non-uniform composite beams.
                                  
                                  
                                  Journal of Sound and Vibration, 
                                  Vol. 83, 
                                  Issue. 2, 
                                
                                    p. 
                                    219.
                                
                                
                        
                        
                        
                        
                                
                                    
                                    Banerjee, J.R.
                                     and 
                                    Williams, F.W.
                                  1985.
                                  Further flexural vibration curves for axially loaded beams with linear or parabolic taper.
                                  
                                  
                                  Journal of Sound and Vibration, 
                                  Vol. 102, 
                                  Issue. 3, 
                                
                                    p. 
                                    315.
                                
                                
                        
                        
                        
                        
                                
                                    
                                    Banerjee, J. R.
                                     and 
                                    Williams, F. W.
                                  1985.
                                  Exact Bernoulli–Euler dynamic stiffness matrix for a range of tapered beams.
                                  
                                  
                                  International Journal for Numerical Methods in Engineering, 
                                  Vol. 21, 
                                  Issue. 12, 
                                
                                    p. 
                                    2289.
                                
                                
                        
                        
                        
                        
                                
                                    
                                    McGee, O.G.
                                     and 
                                    Giaimo, G.T.
                                  1992.
                                  Three-dimensional vibrations of cantilevered right triangular plates.
                                  
                                  
                                  Journal of Sound and Vibration, 
                                  Vol. 159, 
                                  Issue. 2, 
                                
                                    p. 
                                    279.
                                
                                
                        
                        
                        
                        
                                
                                    
                                    Chaudhari, T.D.
                                     and 
                                    Maiti, S.K.
                                  1999.
                                  Modelling of transverse vibration of beam of linearly variable depth with edge crack.
                                  
                                  
                                  Engineering Fracture Mechanics, 
                                  Vol. 63, 
                                  Issue. 4, 
                                
                                    p. 
                                    425.
                                
                                
                        
                        
                        
                        
                                
                                    
                                    Elishakoff, I.
                                  2000.
                                  A selective review of direct, semi-inverse and inverse eigenvalue problems for structures described by differential equations with variable coefficients.
                                  
                                  
                                  Archives of Computational Methods in Engineering, 
                                  Vol. 7, 
                                  Issue. 4, 
                                
                                    p. 
                                    451.
                                
                                
                        
                        
                        
                        
                                
                                    
                                    Chaudhari, T.D.
                                     and 
                                    Maiti, S.K.
                                  2000.
                                  A study of vibration of geometrically segmented beams with and without crack.
                                  
                                  
                                  International Journal of Solids and Structures, 
                                  Vol. 37, 
                                  Issue. 5, 
                                
                                    p. 
                                    761.
                                
                                
                        
                        
                        
                        
                                
                                    
                                    RAO, S.S.
                                     and 
                                    GUPTA, R.S.
                                  2001.
                                  FINITE ELEMENT VIBRATION ANALYSIS OF ROTATING TIMOSHENKO BEAMS.
                                  
                                  
                                  Journal of Sound and Vibration, 
                                  Vol. 242, 
                                  Issue. 1, 
                                
                                    p. 
                                    103.
                                
                                
                        
                        
                        
                        
                                
                                    
                                    Firouz-Abadi, R.D.
                                    
                                    Haddadpour, H.
                                     and 
                                    Novinzadeh, A.B.
                                  2007.
                                  An asymptotic solution to transverse free vibrations of variable-section beams.
                                  
                                  
                                  Journal of Sound and Vibration, 
                                  Vol. 304, 
                                  Issue. 3-5, 
                                
                                    p. 
                                    530.
                                
                                
                        
                        
                        
                        
                                
                                    
                                    Caruntu, Dumitru I.
                                  2007.
                                  Classical Jacobi polynomials, closed-form solutions for transverse vibrations.
                                  
                                  
                                  Journal of Sound and Vibration, 
                                  Vol. 306, 
                                  Issue. 3-5, 
                                
                                    p. 
                                    467.
                                
                                
                        
                        
                        
                        
                                
                                    
                                    Yagci, Baris
                                    
                                    Filiz, Sinan
                                    
                                    Romero, Louis L.
                                     and 
                                    Ozdoganlar, O. Burak
                                  2009.
                                  A spectral-Tchebychev technique for solving linear and nonlinear beam equations.
                                  
                                  
                                  Journal of Sound and Vibration, 
                                  Vol. 321, 
                                  Issue. 1-2, 
                                
                                    p. 
                                    375.
                                
                                
                        
                        
                        
                        
                                
                                    
                                    Ozdemir Ozgumus, O.
                                     and 
                                    Kaya, M. O.
                                  2010.
                                  Vibration analysis of a rotating tapered Timoshenko beam using DTM.
                                  
                                  
                                  Meccanica, 
                                  Vol. 45, 
                                  Issue. 1, 
                                
                                    p. 
                                    33.
                                
                                
                        
                        
                        
                        
                                
                                    
                                    Filiz, Sinan
                                    
                                    Bediz, Bekir
                                    
                                    Romero, L.A.
                                     and 
                                    Ozdoganlar, O. Burak
                                  2014.
                                  Three dimensional dynamics of pretwisted beams: A spectral-Tchebychev solution.
                                  
                                  
                                  Journal of Sound and Vibration, 
                                  Vol. 333, 
                                  Issue. 10, 
                                
                                    p. 
                                    2823.
                                
                                
                        
                        
                        
                        
                                
                                    
                                    Bediz, Bekir
                                     and 
                                    Ozdoganlar, O. Burak
                                  2019.
                                  Rotational dynamics of micro-scale cutting tools.
                                  
                                  
                                  Precision Engineering, 
                                  Vol. 60, 
                                  Issue. , 
                                
                                    p. 
                                    1.
                                
                                
                        
                        
                        
                        
                                
                                    
                                    Banerjee, J.R.
                                     and 
                                    Ananthapuvirajah, A.
                                  2019.
                                  Free flexural vibration of tapered beams.
                                  
                                  
                                  Computers & Structures, 
                                  Vol. 224, 
                                  Issue. , 
                                
                                    p. 
                                    106106.