Dynamic analysis of a hyperbolic composite coupling

Dynamic analysis of a spinning composite “deep” hyperbolic coupling

“…At R min ffi 2.5 inch = 6.35 cm; however, a sharp decline in the value of the natural frequency is experienced. This sudden drop is attributed to the curve veering phenomenon (Liu, 2002), and is explained in details in Ghoneim and Lawrie (2007). The results also indicate that a small value of R min (R min ffi 1.5 inch) should be adopted for the coupling in order to achieve the basic dynamic requirements; that is: 1) stiff in torsion in order to carry high torques and transmit more power, and 2) relatively soft in bending and axial modes in order to accommodate for any misalignments.…”

“…As mentioned previously an anti-symmetric [±h f (a)/ Ç h f (a)] A laminate, which is free of all types of couplings, is considered for the coupling. The fiber angle orientation, h f , is a function of the slope angle, a, since the fibers are laid down along the geodesic lines of the hyperboloid (Ghoneim and Lawrie, 2007). The material properties and dimensions of the coupling under investigation are given in Table 1.…”

“…Recently, Ghoneim and Lawrie (2007) introduced a flexible Hyperbolic Composite Coupling (HCC). This coupling enjoys two advantages: (1) it can be readily integrated with composite drive shafts into a single coupling-driveshaft unit (Faust et al, 1988;Lawrie, 2007), and (2) it can be complemented with some of the needed damping Lawrie, 2005, 2006).…”

“…That is, if b y and b z are the angular rotations of the circular cross section about the y and z coordinates (Fig. 2), respectively, the expression of the axial displacement of any point on the coupling surface can be expressed as (Ghoneim and Lawrie, 2007):…”