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

Table 2

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	7.3914	7.5552 (2.22%)	7.0539	7.0856 (0.45%)	6.3333	5.8824 (−7.12%)
1	7.9726	8.0061 (0.42%)	7.5187	7.5140 (−0.06%)	6.6705	6.3057 (−5.47%)
2	8.4655	8.3244 (−1.67%)	7.8960	7.8126 (−1.06%)	6.9233	6.6750 (−3.59%)
5	8.9201	8.5768 (−3.85%)	8.2498	8.0356 (−2.60%)	7.1155	6.9648 (−2.12%)
10	9.1193	8.6898 (−4.71%)	8.4162	8.1250 (−3.46%)	7.1884	7.0768 (−1.55%)

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