This investigation deals with the chaotic rocking response and overturning
stability of offshore equipment subjected to base excitations due to wave-induced
motions of the supporting compliant offshore structural system. The equipment
compliant structural system is modelled as a free-standing rigid object subjected
to horizontal and vertical base accelerations. Three of...
The Melnikov method is applied to a model of parametrically generated cross-waves in a long rectangular channel in order to determine if these cross-waves are chaotic. A great deal of preparation is involved in order to obtain a suitable form for the application of the Melnikov method. The Lagrangian for...
In previous papers by Awrejcewicz in 1986 and Narayanan and Jayaraman in 1991, it was claimed that the nonlinear oscillator with dry friction exhibited chaos for several forcing frequencies. The chaos determination was achieved using the characteristic exponent of Lyapunov which requires the right-hand side of the differential equation to...
Classical chaotic scattering experiments were performed on ten different four hill potentials, unique under x-axis reflection, given by: V(x,y) = x²y²e⁻⁽ˣ² ⁺ ʸ²⁾ σᵢ where σᵢ was ±1 depending upon quadrant. Our work was based on a paper (9) that only studied the case where σᵢ =1 in all quadrants....
Complex oscillations including chaotic motions have been identified in off-shore and submerged mooring systems characterized by nonlinear fluid-structure interactions and restoring forces. In this paper, a means of controlling these nonlinear oscillations is addressed. When applied, the controller is able to drive the system to periodic oscillations of arbitrary periodicity....