Page 424 - Fluid-Structure Interactions Slender Structure and Axial Flow (Volume 1)

396 SLENDER STRUCTURES AND AXIAL FLOW

Figure 5.59 (a) The frequency-response curve for the principal parametric resonance of a
clamped-pinned system, in terms of the steady-state amplitude h, and the detuning parameter
5, for uo = 4.54, B = 0.273, y = 34.4, friction parameter (Y = 4.68: -, stable; ---, unstable.
Experimental results for the same parameters and (b) 5 = -0.09, qmax = 0.06, (c) 6 = 0,
qmax = 0.10, (d) 5 = 0.179, qmax = 0.11 (Yoshizawa etal. 1986).

below 6 = 0.17 persists to 0 = 0.18, but with decreasing o cannot be excited except at
6 = 0.17 or less - thus displaying the hardening behaviour found in theory.
A more complete and sophisticated analysis of the problem was conducted by
Namachchivaya (1989) and Namachchivaya & Tien (1989a,b), utilizing the same basic
tools as in Ariaratnam & Namachchivaya (1986a). Chang & Chen (1994) presented