Research Article

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

Table 5

Comparison of the first mode shape at different positions of the beam in the C-C beam case.

C-C beam (nonlinear)
Present ASM
Ref. [15]
FEM
Ref. [13]
Present GFEM
Ref. [16]
FEM
Ref. [13]
Present GFEM
Ref. [16]
FEM
Ref. [13]

0,000,00000,00000,00000,00000,00000,00000,00000,00000,0000
0,050,03240,03250,03290,03410,03390,03410,04640,04110,0413
0,100,11960,11190,12030,12420,12340,12370,15550,14290,1432
0,150,24440,24350,24540,25080,25050,25060,29270,27950,2796
0,200,39060,39000,39220,39690,39810,39820,43630,43070,4308
0,250,54350,54350,54550,54800,55110,55130,57570,58150,5817
0,300,68950,69010,69180,69170,69600,69640,70580,72000,7204
0,350,81680,81780,81890,81740,82140,82190,82170,83720,8376
0,400,91560,91640,91700,91550,91820,91850,91590,92590,9262
0,450,97830,97870,97890,97820,97920,92930,97830,98120,9813
0,501,00001,00001,00001,00001,00001,00001,00001,00001,0000