Abstract
The behaviour of Coriolis mass flowmeters (CMFs) with arbitrary pipe geometry is investigated in this paper regarding the effects of unsteady flow, geometry and damping. Timoshenko׳s beam theory, the finite element method (FEM), Mathworks Matlab and Simulink are used for creating a suitable model. Various physical quantities such as Coriolis, centrifugal and gravitational forces, mass inertia, mass flow, unsteady flow forces, damping and material parameters are considered to increase model precision. Stiffening effects due to fluid deflection are partly neglected in the model. The use of exact finite elements and model reduction via modal transformation results in fast and accurate numerical computation which corresponds well with experimental data. As a consequence, this approach allows further optimization of pipe geometries, actuation positions and concepts, actuation und flow control systems and signal processing concepts without co-simulation.
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