Fundamental Frequency Analysis of Sandwich Beams with Functionally Graded Face and Metallic Foam Core

Table 3

Comparison of the nondimensional fundamental natural frequencies () with various thickness ratios of the sandwich beam ().

	1-1-1		1-2-1		1-8-1
	Ref. []	Present	Ref. []	Present	Ref. []	Present
0.5	10.2298	10.1771 (−0.52%)	9.7587	9.7449 (−0.14%)	8.2818	7.9373 (−4.16%)
1	11.2767	11.0023 (−2.43%)	10.7706	10.6093 (−1.50%)	9.0064	8.6446 (−4.02%)
2	11.9911	11.7095 (−2.35%)	11.5168	11.3559 (−1.40%)	9.6175	9.2733 (−3.58%)
5	12.4199	12.2989 (−0.97%)	12.0423	11.9846 (−0.48%)	10.1297	9.8627 (−2.64%)
10	12.5230	12.5740 (0.41%)	12.2122	12.2204 (0.07%)	10.3315	10.0985 (−2.26%)

Note. Ref. [] ≡ Vo et al. [17], and relative error: [(prediction by the present model) − (Ref. [])]/(Ref. []) × 100%. .