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

Table 3

Comparison of exact and HAM solutions of the buckling loads for 𝛽=50 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	8.8614	8.8614	14.9357	14.9357	24.2852	24.2852	43.2606	43.2606	23.5717	23.5717
2	33.0879	33.0873	40.7449	40.7442	61.0966	61.1003	81.7943	82.0059	44.4104	44.4053