Research Article

A Discrete Model for Nonlinear Vibration of Beams Resting on Various Types of Elastic Foundations

Table 2

Comparison of the normalized first mode shape at different positions of the beam in the S-S beam case for .

Exact
Ref. [13]
PresentFEM
Ref. [13]
PresentFEM
Ref. [13]
PresentFEM
Ref. [13]
PresentFEM
Ref. [13]

0,000,00000,00000,00000,00000,00000,00000,00000,00000,0000
0,050,15640,15640,15640,15440,15640,14980,15640,14490,1564
0,100,30900,30900,30900,30540,30900,29690,30900,28760,3090
0,150,45400,45400,45400,44930,45400,43810,45400,42580,4540
0,200,58780,58780,58800,58270,58800,57070,58800,55700,5880
0,250,70710,70710,70710,70240,70710,69110,70710,67800,7071
0,300,80910,80900,80900,80530,80900,79620,80900,78530,8090
0,350,89100,89100,89100,88860,89100,88250,89100,87500,8910
0,400,95110,95110,95110,94980,95110,94680,95110,94300,9511
0,450,98770,98770,98770,98740,98770,98650,98770,98550,9877
0,501,00001,00001,00001,00001,00001,00001,00001,00001,0000