On a variational principle for the Upper Convected Maxwell model

A variational principle for the Upper Convected Maxwell model is presented. The stationary value of the appropriate functional is the drag on an immersed object. From the principle, a formula is derived for the derivative of the drag with respect to the Deborah number for an arbitrarily shaped particle in a circular duct under creeping flow...

A hybrid mimetic spectral element method for three-dimensional linear elasticity problems

We introduce a domain decomposition structure-preserving method based on a hybrid mimetic spectral element method for three-dimensional linear elasticity problems in curvilinear conforming structured meshes. The method is an equilibrium method which satisfies pointwise equilibrium of forces. The domain decomposition is established through...

Adaption of structured grids based on Weighted Least Squares formulations

Computational grids are used for the discretisation of partial differential equations (PDE's) such that solution of the resulting system of algebraic equations for the discrete values of the dependent variables provides an approximation to the solution of the system of PDE's. When the discretisation of the partial differential equations (PDE's)...

Linear recursive formulation of flexible multi-body space system dynamics

Numerical simulation of the dynamics of multi-body systems constitutes a central part in the design and analysis of modern space-based systems. The report focuses on the development of a recursive formulation of the dynamics of flexible spacecraft-robotmanipulator systems, suitable for efficient numerical simulation. The rather well-established...

A reference model for the dynamics of a flexible, spacecraft-based manipulator

The objective of the study is to develop the equations of motion of a single link, flexible manipulator, attached to an orbiting spacecraft. A payload may be attached to the end-effector of the manipulator. Starting point is d'Alembert's principle, with displacements described by hybrid coordinates. The equations of motion for the two-body...