Free Vibration Analysis of an Euler Beam of Variable Width on the Winkler Foundation Using Homotopy Perturbation Method

Table 11

Normalized free vibration frequencies of clamped-clamped beam resting on the Winkler foundation with exponentially varying flexural stiffness.

𝛼	0.00	0.25	0.50	0.75	1.00
𝜔1	22.3956	22.3562	22.2409	22.0853	21.9787
𝜔2	61.6809	61.6245	61.4646	61.2498	61.1004
𝜔3	120.9075	120.8450	120.6698	120.4372	120.2857
𝜔4	199.8620	199.7961	199.6124	199.3705	199.2211
𝜔5	298.5572	298.4893	298.3002	298.0528	297.9060