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
Impulse Applied to Simply Supported Beam
A concentrated force is applied for a short period of time at the mid‑span of a simply supported beam. Considering only small deformation theory and assuming that the mass of the beam is concentrated at its mid‑span, determine its maximum deflection.
Suddenly Applied Load to Simply Supported Beam
A concentrated force is suddenly applied at the mid‑span of a simply supported beam at given time. Considering only small deformation theory, determine the maximum deflection of the beam.
Natural Vibrations of Rectangular Plate
A rectangular steel plate of dimensions is simply supported at its edges. Determine the natural frequencies of the rectangular plate.
Natural Vibrations of Circular Plate
A circular steel plate is clamped around its circumference. Determine the natural frequencies of the circular plate.
Natural Vibrations of Circular Membrane
A circular membrane is tensioned by a line force. Determine the natural frequencies of the circular membrane.
Natural Vibrations of Rectangular Membrane
A rectangular membrane is tensioned by a line force. Determine the natural frequencies of the given membrane.
Natural Vibrations of String
A thin string is tensioned by the axial force. Determine the natural frequencies of the string.
Equivalent Loads
A cantilever beam with I-beam cross-section of length L is defined. The beam has five mass points with masses m acting in X-direction. The self-weight is neglected. The frequencies, the mode shapes and the equivalent loads of this 5-DOF system are analytically calculated and compared with results from RSTAB and RFEM.
Cantilever Beam (SDOF) with Periodic Excitation
Time history analysis of a cantilever beam (SDOF system) excited by a periodic function. Vertical deformations and accelerations calculated with the direct integration and the modal analysis in RF‑/DYNAM Pro - Forced Vibrations are compared with the analytical solution.
Natural Vibrations of Planar Truss Structure
A planar truss structure is simply supported. The aim of this verification example is to determine the natural frequencies of the structure.
