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 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.
A cylindrical membrane is stretched by means of isotropic prestress. Find the final minimal shape of the membrane - catenoid. Determine the maximum radial deflection of the 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.
A strut with circular cross-section is supported according to four basic cases of Euler buckling and it is subjected to pressure force. Determine the critical load.
This verification example is based on Verification Example 0122. A single-mass system without damping is subjected to an axial loading force. An ideal elastic-plastic material with characteristics is assumed. Determine the time course of the end-point deflection, velocity and acceleration.
Determine the allowable axial compressive strength of a pinned 8 ft long beam of various cross-sections made of Alloy 6061-T6 and laterally restrained to prevent buckling about its weak axis in accord with the Aluminium Design Manual.
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