Dynamic instability of composite beams under parametric excitation

Stochastic dynamic stability analysis of composite curved panels subjected to non-uniform partial edge loading

“…The influences of transverse shear (Andrzej et al, 2011) M A N U S C R I P T A C C E P T E D 4 composite beam (Meng-Kao and Yao, 2004), plates (Dey and Singha, 2006) or shells (Bert and Birman, 1988) and stiffened panel (Sepe et al, 2016). Further studies are also carried out for modelling mesoscopic volume fraction stochastic fluctuations in fiber reinforced composites (Guilleminot et al, 2008) and for parametric instability of graphiteepoxy composite beams under excitation (Yeh and Kuo, 2004). Free vibration and dynamic stability analysis of rotating thin-walled composite beams (Saraviaa et al, 2011) and nonlinear thermal stability of eccentrically stiffened functionally graded truncated conical shells are recently reported (Duc and Cong, 2015).…”

Improved Modelling of a Nonlinear Parametrically Excited System with Electromagnetic Excitation

“…In Equation (1) the mechanical damping ratio ζ m = c m 2m t ω n , and ζ es,app is the electrical damping applied from the electromagnetic system. The dissipative feedback force due to the electromagnetic system can be calculated from substituting Equation 20into Equation (18). The electrical damping ratio is…”

“…Electromagnetic micro-transducers have been used in distinct applications in recent years [16]. A PE cantilever beam with an electromagnetic device was introduced by Chen and Yeh [17,18]. A further study on a Linear Parametrically Excited (LPE) cantilever beam with an electromagnetic system was carried out by Han et al [19].…”

“…In this system, the amplitude and frequency of the time-varying stiffness were accurately controlled by the current flowing through the coil of the electromagnetic device. They showed that, by exciting the cantilever beam with a time-varying force, the nonlinearity induced by the geometric imperfection of the beam and the coupling effects between the excitation mechanism and the beam were effectively avoided [18]. Therefore, they introduced a LPE system where the strong stiffness nonlinearities present in the electromagnetic system were not considered.…”

Experimental study on dynamic characteristics of linear parametrically excited system

“…Fortunately, in 2001 and 2004, an electromagnetic device, acting like a spring with alternating stiffness, was developed in experiment by Yeh [13,14] to induce parametric excitation on cantilever beams. The amplitude and frequency of the parametric stiffness excitation were accurately controlled by the current flowing through the coil of the electromagnetic device.…”