Finite element analysis of multi-span functionally graded beams under a moving harmonic load

[1]  M. Géradin,et al.  Mechanical Vibrations: Theory and Application to Structural Dynamics , 1994 .

[2]  M. Koizumi.  FGM activities in Japan , 1997 .

[3]  L Fryba,et al.  VIBRATION OF SOLIDS AND STRUCTURES UNDER MOVING LOADS (3RD EDITION) , 1999 .

[4]  Hassan Haddadpour,et al.  An analytical method for free vibration analysis of functionally graded beams , 2009 .

[5]  M. Olsson,et al.  ON THE FUNDAMENTAL MOVING LOAD PROBLEM , 1991 .

[6]  David P. Thambiratnam,et al.  DYNAMIC ANALYSIS OF BEAMS ON AN ELASTIC FOUNDATION SUBJECTED TO MOVING LOADS , 1996 .

[7]  M. Şi̇mşek,et al.  VIBRATION ANALYSIS OF A FUNCTIONALLY GRADED BEAM UNDER A MOVING MASS BY USING DIFFERENT BEAM THEORIES , 2010 .

[8]  F. F. Mahmoud,et al.  Determination of neutral axis position and its effect on natural frequencies of functionally graded macro/nanobeams , 2013 .

[9]  Gouri Dhatt,et al.  DYNAMIC BEHAVIOUR OF MULTI-SPAN BEAMS UNDER MOVING LOADS , 1997 .

[10]  Reza Attarnejad,et al.  Free vibration and stability analysis of axially functionally graded tapered Timoshenko beams with classical and non-classical boundary conditions , 2011 .

[11]  Toshio Yoshimura,et al.  A finite element method prediction of the vibration of a bridge subjected to a moving vehicle load , 1984 .

[12]  A. Matsuda,et al.  VIBRATION ANALYSIS OF THE CONTINUOUS BEAM SUBJECTED TO A MOVING MASS , 2000 .

[13]  F. F. Mahmoud,et al.  Free vibration characteristics of a functionally graded beam by finite element method , 2011 .

[14]  Victor Birman,et al.  Modeling and Analysis of Functionally Graded Materials and Structures , 2007 .

[15]  D. Y. Zheng,et al.  VIBRATION OF MULTI-SPAN NON-UNIFORM BEAMS UNDER MOVING LOADS BY USING MODIFIED BEAM VIBRATION FUNCTIONS , 1998 .

[16]  Xian‐Fang Li,et al.  A unified approach for analyzing static and dynamic behaviors of functionally graded Timoshenko and Euler–Bernoulli beams , 2008 .

[17]  Xian‐Fang Li,et al.  Large Deflections of a Non-linear Cantilever Functionally Graded Beam , 2010 .

[18]  John B. Kosmatka,et al.  An improved two-node finite element for stability and natural frequencies of axial-loaded Timoshenko beams , 1995 .

[19]  T. Kocatürk,et al.  Free and forced vibration of a functionally graded beam subjected to a concentrated moving harmonic load , 2009 .

[20]  Xian‐Fang Li,et al.  Bending of functionally graded cantilever beam with power-law non-linearity subjected to an end force , 2009 .

[21]  N. Ganesan,et al.  Static analysis of functionally graded beams using higher order shear deformation theory , 2008 .

[22]  J. N. Reddy,et al.  A new beam finite element for the analysis of functionally graded materials , 2003 .

[23]  T. Le,et al.  Dynamic Response of Non-Uniform Functionally Graded Beams Subjected to a Variable Speed Moving Load , 2013 .

[24]  Nguyen Dinh Kien,et al.  Dynamic Response of Prestressed Timoshenko Beams Resting on Two-Parameter Foundation to Moving Harmonic Load , 2008 .

[25]  Yih-Hwang Lin,et al.  Discretization considerations in moving load finite element beam models , 1996 .

[26]  Yih-Hwang Lin,et al.  Finite element analysis of elastic beams subjected to moving dynamic loads , 1990 .