... into a first-order differential equation system. A mechanical analysis program was developed, and the correctness of theoretical derivation and solution was verified through comparison with previous studies. Besides, a series of key parameters governing the mechanical characteristics of the marine drilling...

... partial differential equation set further transformed into a nonlinear ordinary differential equation system, which is truncated at a finite order to allow numerical solutions using well-established algorithms. This work investigates the VIV response of the riser in both CF and IL directions, as well...

... SFT mathematical models are expressed by a set of partial differential equations, including four partial differential equations and four boundary conditions, totally 16 combinations. Each represents a type of SFT with a specific way by which the tube connects to the shores. They are SFT...

.... Stochastic differential equation of a ship rolling in random beam seas is established. The probability density distribution of ship rolling motion under the action of two filter models are compared and analyzed. In addition, the effects of the roll damping and the permanent inclination angle on the stability...

... equilibrium of mooring lines, two approaches exist based either on dynamic equations - such as dynamic relaxation - or on TPBVP static equations. The TPBVP for strings is constituted of a set of ordinary differential equations (ODEs) associated with two boundary conditions at segment extremities. In order...

...-elements and keeps the radial differential equation solved completely analytically. Subsequently, based on an appropriate decomposition, an efficient methodology is proposed for externallyinduced sloshing through the calculation of the corresponding sloshing (or convective) masses. In comparison...

... development state-space model calculation michelen differential equation modeling tool modeling capability renewable energy coefficient time series artificial intelligence hydrodynamic coefficient frequency response lawson kernel social responsibility Recent Additions in the Modeling...

... and acceptable accuracy of the curvature determination. determination equation midstream oil & gas procedure application useful information compliance straight segment algorithm stress state pipeline calculation lokhman geometry differential equation elastic foundation displacement...

..., as well as in loads on the mooring system and in the tension distribution along the mooring lines due to the ice action. line tension determination plane upstream oil & gas coordinate system moored platform mooring system platform motion karulin differential equation equation...

... to derive the SBFEM equation. The SBFEM need discretize only the boundary with surface finite-elements and keeps the radial differential equation solved completely analytically. The results show that the present method has strong ability to resolve singularity problems analytically by choosing the scaling...

.... The SBFEM method weakens the governing differential equation in the circumferential direction and solves the weakened equation analytically in the radial direction, so the simulation precision of this method is high. A weighted residual approach and coordinate transformation between scaled and Cartesian...

... result roll angle differential equation frequency coefficient model test phase plane calculation ship nonlinear artificial intelligence Theoretical and Experimental Research of Fishing Vessel Stability in Beam Sea Shan.Ou1 , Xiao Fei.Mao1 , Cheng Gang.Liu2 1 Dept of Naval Architecture...

... components. The dynamic response prediction is also desirable to address the fatigue design of wind turbine components. The rotordynamic model of the wind turbines is expressed as partial differential equations, with time- dependent boundary conditions. These equations of motion are integrated with respect...

... In most of the wave theories, a boundary value problem consisting of a partial differential equation and certain boundary conditions describing the various boundaries is solved in an approximate way. The complete boundary value problem has not been solved, even in the simple case of constant...

... extrapolating the knowledge from known technology beyond the frontiers of full scale experience, there is always the danger of overlooking something. irregular wave standard deviation sub-harmonic oscillation cylindrical column spar octabuoy parametric resonance differential equation classical...

... hindcast swell height equation differential equation matrix eigenvalue hindcast data stochastic model simulation stochastic differential equation sea location swell height denote sea-state data artificial intelligence striped pattern propagation independent component pacific ocean machine...

... is calculated by energy balance method. Some calculations are to present the sensitivity of the axial forces on the allowable free spanning lengths. differential equation polar engineering conference frequency soil stiffness offshore pipeline axial force submarine pipeline vibration equation...

... frequencies. A theoretical approach was applied to solve a boundary value problem for the interaction of the vibrating cylinder with water to determine generalized forces and to provide supplementary data to predict natural frequencies. The results are combined with the differential equation describing...

... differential equations, and the probability density function is obtained by the Fokker-Planck equation. Generally, the stochastic differential equation is difficult but this model is not difficult because it has only three parameters. Furthermore, we explain long-term prediction and simulation of ship...

... by means of complex stiffness also called impedance functions established at the head of the pile. differential equation time history platform vibration property platform system layer soil displacement pile segment deck response subsea system standard deviation reservoir characterization...