Research Article

Stability Analysis of Nonuniform Rectangular Beams Using Homotopy Perturbation Method

Table 2

Pure bending base: Beams with linearly varying stiffnesses ( ). HPM solutions for nondimensional buckling moment (α) for different numbers of expansion of variable coefficients in the iteration integrals in series.

9 terms11 terms15 terms17 terms21 terms25 terms29 terms

1 7.55873 7.50322 7.47003 7.46569 7.46292 7.46236 7.46225
212.843212.688012.590712.577312.568512.566612.5663
314.663314.571914.517814.510814.506414.505514.5053
418.297718.289818.296818.299118.301218.301718.3019
517.151017.091317.060117.056617.054617.054317.0542
617.277517.222717.195217.192317.190617.190417.1903
717.262917.207417.179317.176317.174717.174417.1743
817.264217.208817.180817.177917.176217.175917.1759
917.264117.208717.180717.177717.176117.175817.1757