Chaotic behavior and stability of free-standing offshore equipment

摘要: Abstract The rocking behaviour and overturning stability of free-standing offshore equipment subjected to support excitations is investigated. This study focuses on systems with realistic slenderness ratios both horizontal vertical excitations. Fully nonlinear equations governing the motion are used in analysis. Additional effects due transition at impact, abrupt reduction angular velocity associated impact energy dissipation, coupling (parametric) excitation response examined detail. Analytical methods numerical techniques developed determine time histories, phase diagrams, Poincare maps, Lyapunov exponents, fractal dimensions. Chaotic quasi-periodic shown co-exist periodic responses. Results show that non-slender (fully nonlinear) more sensitive perturbations system parameters than their slender (piecewise-linear) counterparts. nonlinearity induces chaotic behavior, major cause sensitivity. Increasing dissipation decreases sensitivity response. For range magnitude considered, increasing increases