id	keyword
fumecheng-11587	nonlinear
fumecheng-11587	beam
fumecheng-11587	strain
fumecheng-11587	frequency
fumecheng-11587	stability
fumecheng-11587	solutions
fumecheng-11587	vibration
fumecheng-11587	conditions
fumecheng-11587	gradient
fumecheng-11587	amplitude
fumecheng-11587	theory
fumecheng-11587	fig
fumecheng-11587	pasternak
fumecheng-11587	method
fumecheng-11587	foundation