Added mass

About: Added mass is a research topic. Over the lifetime, 2849 publications have been published within this topic receiving 47899 citations.

Stability and Dynamics of Axially Moving Unidirectional Plates Partially Immersed in a Liquid

Abstract: The stability and dynamics of an axially moving unidirectional plate partially immersed in a liquid and subjected to a nonlinear aerodynamic excitation are investigated. The method of singular functions is adopted to study the dynamic characteristics of the unidirectional plates with discontinuous characteristics. Nonlinearities due to large-amplitude plate motions are considered by using the classical nonlinear thin plate theory, with allowance for the effect of viscous structural damping. The velocity potential and Bernoulli's equation are used to describe the fluid pressure acting on the unidirectional plate. The effect of fluid on the vibrations of the plate may be equivalent to added mass of the plate. The formulation of added mass is obtained from kinematic boundary conditions of the plate–fluid interfaces. The system is discretized by Galerkin's method while a model involving two degrees of freedom, is adopted. Attention is focused on the behavior of the system in the region of dynamic instability, and several motions are found by numerical simulations. The effects of the moving speed and some other parameters on the dynamics of the system are also investigated. It is shown that chaotic motions can occur in this system in several certain regions of parameter space.

Estimation of hydrodynamic forces and motion of ships with steady forward speed

Abstract: The growing number of large ships demands predicting their optimum performance with respect to travel time, fuel efficiency and the safety of cargo and personnel in specified shipping routes. This can be achieved using efficient and easy to use numerical tools capable of predicting hydrodynamic loads on floating vessels with steady forward speed and solving their motion response in various wave conditions. A three-dimensional potential theory based code using the Green function method is developed with consideration of forward speed effects. The generalized coordinate system is used to allow motion response calculations with respect to any desired body coordinate system and a common quadrilateral meshing format. The formulation and calculation of added mass and damping coefficients at zero and infinite frequency in forward speed case has been also provided. A number of structures including simple geometries and full ship hull forms have been analyzed and validated against published theoretical, numerical and experimental results. The comparison results are found to be in excellent agreement. The theoretical formulation, numerical implementation and result comparisons are presented here.

New analytical solutions to water wave radiation by vertical truncated cylinders through multi-term Galerkin method

Abstract: New analytical solutions to water wave radiation by vertical truncated circular cylinders are developed based on linear potential flow theory. Two typical cylinder configurations of a surface-piercing cylinder and a submerged floating cylinder are considered. The multi-term Galerkin method is employed in the solution procedure, in which the fluid velocity on the interface between different regions is expanded into a set of basis function involving the Gegenbauer polynomials, and the cube-root singularity of fluid velocity at the side edges of the truncated cylinders is correctly modeled. The present solutions have the merits of very rapid convergence. The results with six-figure accuracy for added mass and radiation damping can be obtained using a few truncated numbers in the basis function for three motions (surge, heave and roll). The calculated results of the present solutions agree well with that by a higher-order boundary element method solution. Calculation examples are presented to investigate the influence of the motion frequency on the added mass and the radiation damping of the truncated cylinders with different geometric parameters. The present solutions can be used as a reliable benchmark for numerical solutions to water wave radiation by complicated structures.