Nonlinear Free and Forced Vibration Behavior of Shear-Deformable Composite Beams with Shape Memory Alloy Fibers

Table 5

The nonlinear natural frequency for different values of with various (, = 60°C, and = 0.005).

	Beam theory
1	Euler-Bernoulli	1.8463 × 10^4	1.8512 × 10^4	1.8564 × 10^4
	Timoshenko	1.4159 × 10^4	1.4222 × 10^4	1.4290 × 10^4
5	Euler-Bernoulli	5.2761 × 10^4	5.2779 × 10^4	5.2798 × 10^4
	Timoshenko	5.1413 × 10^4	5.1432 × 10^4	5.1451 × 10^4
7	Euler-Bernoulli	7.2295 × 10^4	7.2309 × 10^4	7.2323 × 10^4
	Timoshenko	7.1317 × 10^4	7.1331 × 10^4	7.1346 × 10^4