...Hao Gao; Bingen Yang Flexible structures carrying moving subsystems are found in various engineering applications. Periodic passage of subsystems over a supporting structure can induce parametric resonance, causing vibration with ever-increasing amplitude in the structure. Instead of its...

... in this study (solid line) and the existing one in the literature (dashed line): ( a ) L / h = 20, ( b ) L / h = 100, and ( c ) L / h = 500 This section employs the validated geometrically exact model developed in Sec. 2 to conduct parametric resonant dynamic analysis and to examine...

... 2010 composite materials Galerkin method integration linear momentum partial differential equations plates (structures) stability vibrations axially moving composite plate natural frequency Galerkin method differential quadrature method parametric resonance multiple scale...

.... The different cases when the system is in subharmonic resonance, combination additive resonance, and combined resonance in the absence of noise, respectively, are considered. The effects of noise and frequency detuning on the parametric resonance are investigated. The equations of motion for many...