Nonlinear vibrations of simply-supported plates by the p -version finite element method

[1]  C. Mei,et al.  A finite element method for nonlinear forced vibrations of rectangular plates , 1985 .

[2]  N. Bardell.  The application of symbolic computing to the hierarchical finite element method , 1989 .

[3]  M. Petyt,et al.  Introduction to Finite Element Vibration Analysis , 2016 .

[4]  William H. Press,et al.  Numerical Recipes: FORTRAN , 1988 .

[5]  Maurice Petyt,et al.  An investigation into geometrically nonlinear analysis of rectangular laminated plates using the hierarchical finite element method , 1994 .

[6]  A. Nayfeh,et al.  Applied nonlinear dynamics : analytical, computational, and experimental methods , 1995 .

[7]  C. Bert,et al.  IMPLEMENTING MULTIPLE BOUNDARY CONDITIONS IN THE DQ SOLUTION OF HIGHER‐ORDER PDEs: APPLICATION TO FREE VIBRATION OF PLATES , 1996 .

[8]  Pedro Ribeiro,et al.  Nonlinear vibration of plates by the hierarchical finite element and continuation methods , 1997 .

[9]  A. Houmat.  AN ALTERNATIVE HIERARCHICAL FINITE ELEMENT FORMULATION APPLIED TO PLATE VIBRATIONS , 1997 .

[10]  M. Petyt,et al.  Geometrically nonlinear vibration analysis of thin, rectangular plates using the hierarchical finite element method—I: The fundamental mode of isotropic plates , 1997 .

[11]  P. Sundararajan,et al.  Dynamics of Forced Nonlinear Systems Using Shooting/Arc-Length Continuation Method—Application to Rotor Systems , 1997 .

[12]  Jean Nicolas,et al.  A HIERARCHICAL FUNCTIONS SET FOR PREDICTING VERY HIGH ORDER PLATE BENDING MODES WITH ANY BOUNDARY CONDITIONS , 1997 .

[13]  R. Benamar,et al.  AN ASYMPTOTIC-NUMERICAL METHOD FOR LARGE-AMPLITUDE FREE VIBRATIONS OF THIN ELASTIC PLATES , 1999 .

[14]  Maurice Petyt,et al.  NON-LINEAR VIBRATION OF BEAMS WITH INTERNAL RESONANCE BY THE HIERARCHICAL FINITE-ELEMENT METHOD , 1999 .

[15]  Maurice Petyt,et al.  Non-linear free vibration of isotropic plates with internal resonance , 2000 .

[16]  Pedro Ribeiro,et al.  HIERARCHICAL FINITE ELEMENT ANALYSES OF GEOMETRICALLY NON-LINEAR VIBRATION OF BEAMS AND PLANE FRAMES , 2001 .

[17]  Arthur W. Leissa,et al.  Vibration of Plates , 2021, Solid Acoustic Waves and Vibration.