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Stochastic response of a two DOF articulated tower. (English) Zbl 0892.73033

We model an articulated tower in the ocean subjected to deterministic and random wave loading as a spherical pendulum having two angular degrees of freedom. Geometrical nonlinearities as well as nonlinearities due to wave drag force, which is assumed to be proportional to the square of the relative velocity between the tower and the waves, are considered. The governing coupled differential equations of motion are highly nonlinear, and have time-dependent coefficients. The tower’s average response is evaluated for uniformly distributed random fluid constants, friction coefficient, and current direction. This is accomplished computationally via Monte Carlo simulations with the use of ‘ACSL’ software.

MSC:

74H50 Random vibrations in dynamical problems in solid mechanics
74F10 Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.)
74H45 Vibrations in dynamical problems in solid mechanics
74S30 Other numerical methods in solid mechanics (MSC2010)

Software:

ACSL
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