The Numerical Analysis for Parametric Resonance of Multicable System considering Interaction between Adjacent Beam Portions

Table 1

Parameters of the refined model (0 ≤ i ≤ N).

Parameters		1^st subsystem	…	i^th subsystem	…	N^th subsystem
Tower	Mass	m1		m1		m1
	Bending stiffness	k1		k1		k1
	Structure damping	c1		c1		c1
	Displacement of vibration	x1		x1		x1
Cable	Mass	m2	…	m2i	…	m2N
	Tensional rigidity	EA1		EAi		EAN
	The initial length	l1		li		lN
	The instantaneous tension of tower-cable	T1		T2i-1		T2N-1
	The instantaneous tension of cable-beam	T2		T2i		T2N
	The initial tension	T01		T0i		T0N
	Displacement of vibration	x2		x2i		x2N
Beam portion	Mass	m3		m2i+1		m2N+1
	Bending stiffness	k33		k(2i+1)(2i+1)		k(2N+1)(2N+1)
	Displacement of vibration	x3		x2i+1		x2N+1