In diesem Buch für Ingenieure und Studenten erfahren Sie Grundlegendes zur Finite-Elemente-Methode praxisnah anhand von überschaubaren Beispielen, die mit RFEM berechnet wurden.
Verifikationsbeispiele
Buch über FEM und RFEM
A sphere is subjected to uniform flow of viscous fluid. The velocity of the fluid is considered at infinity. The goal is to determine the drag force. The parameters of the problem are set so that the Reynolds number is small and the radius of the sphere is also small, thus the theoretical solution can be reached - Stokes flow (G. G. Stokes 1851).
The verification example compares wind load calculation on the building with flat roof by means of the standard EN 1991-1-4 and by means of CFD simulation in RWIND Simulation. The building is defined according to the sketch and the inflow velocity profile is taken according the standard EN 1991-1-4.
The verification example describes the steady-state flow around an isolated building (scaled model). The example is given by the Architectural Institute of Japan (AIJ). Chosen results (velocity magnitude) are compared with the measured values.
The verification example compares wind load calculation on the building with duopitch roof by means of the standard EN 1991-1-4 and by means of CFD simulation in RWIND Simulation. The building is defined according to the sketch and the inflow velocity profile is taken according the standard EN 1991-1-4.
A single-mass system with clearance and two springs is initially deflected. Determine the natural oscillations of the system - deflection, velocity and acceleration time course.
A console made of round bar is loaded by means of eccentric transverse force. Determine the maximal deflection and maximal twist of the console using geometrically linear analysis.
A console made of round bar is loaded by means of eccentric uniform load. Determine the maximal deflection and maximal twist of the console using geometrically linear analysis.
A console made of round bar is loaded by means of eccentric axial force. Determine the maximal vertical deflection of the console using geometrically linear and second-order analysis.
A simply supported beam is loaded by means of pure bending. Determine the critical load and corresponding load factor due to lateral buckling.
A membrane is stretched by means of isotropic prestress between two radii of two concentric cylinders not lying in a plane parallel to the vertical axis. Find the final minimal shape of the membrane - the so-called helicoid, and determine the surface area of the resulting membrane. The add-on module RF-FORM-FINDING is used for this purpose. Elastic deformations are neglected both in RF-FORM-FINDING and in analytical solution, also self-weight is neglected in this example.
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