Buckling of Euler Columns with a Continuous Elastic Restraint via Homotopy Analysis Method

Table 4

Comparison of exact and HAM solutions of the buckling loads for 𝛽=100 with ten iterations.

Mode	C-F column		P-P column		C-P column		C-C column		C-S column
	Exact	HAM	Exact	HAM	Exact	HAM	Exact	HAM	Exact	HAM
1	11.9964	11.9964	20.0017	20.0017	28.3066	28.3066	47.0066	47.0066	32.6690	32.6690
2	45.2659	45.2574	42.0114	42.0105	62.5613	62.5678	82.8246	83.0859	52.8965	52.8105