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

Table 2

Comparison of exact and HAM solutions of the buckling loads for 𝛽=0 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	2.4674	2.4674	9.8696	9.8696	20.1907	20.1907	39.4784	39.4784	9.8696	9.8696
2	22.2066	22.2066	39.4784	39.4779	59.6795	59.6813	80.7629	80.9336	39.4784	39.4784