Nonlinear sloshing analysis of liquid in containers with arbitrary geometries
Abstract
A method is presented for calculating the nonlinear dynamic behavior of liquid in containers with arbitrary geometries. The formulation is based on the numerical perturbation technique, which uses the orthogonality of the mode shapes and yields nonlinear coupled ordinary differential equations describing the temporal behavior. The linear mode shapes are obtained by numerical or analytical methods, and the equations describing the temporal behavior are solved by the classical perturbation method. Numerical examples are carried out on the sloshing in a rectangular tank and an axisymmetric tank to demonstrate the validity of the method.
- Publication:
-
NASA STI/Recon Technical Report N
- Pub Date:
- November 1983
- Bibcode:
- 1983STIN...8418579K
- Keywords:
-
- Axisymmetric Bodies;
- Dynamic Characteristics;
- Liquid Sloshing;
- Rectangles;
- Tanks (Containers);
- Differential Equations;
- Nonlinearity;
- Orthogonality;
- Perturbation;
- Fluid Mechanics and Heat Transfer