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

Table 6

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

	Beam theory	= 20°C	= 60°C	= 120°C
1	Euler-Bernoulli	1.7838 × 10^4	1.8512 × 10^4	1.9347 × 10^4
	Timoshenko	1.3332 × 10^4	1.4222 × 10^4	1.5295 × 10^4
5	Euler-Bernoulli	5.2551 × 10^4	5.2779 × 10^4	5.3073 × 10^4
	Timoshenko	5.1197 × 10^4	5.1432 × 10^4	5.1733 × 10^4
7	Euler-Bernoulli	7.2145 × 10^4	7.2309 × 10^4	7.2520 × 10^4
	Timoshenko	7.1165 × 10^4	7.1331 × 10^4	7.1545 × 10^4