Verification Examples

Thin-Walled Spherical Vessel

A thin-walled spherical vessel is loaded by inner pressure. While neglecting self‑weight, determine the von Mises stressand the radial deflection of the vessel.

Free Vibrations of String

A thin string is tensioned by the initial strain and initially deflected. Determine the deflection of the test point at given test times.

Double Mass Oscillator

A double-mass oscillator consists of two linear springs and masses, which are concentrated at the nodes. The self-weight of the springs is neglected. Determine the natural frequencies of the system.

Vibrations with Coulomb Friction

A simple oscillator consists of mass m (considered only in x-direction) and linear spring of stiffness k. The mass is embedded on a surface with Coulomb friction and is loaded by constant-in-time axial and transversal forces.

Center of Gravity

VE 0081 16 October 2017 RFEM Member Plate Solid

Determine the y-position of the center of gravity for the given bodies, namely semicircle, half-disc, hemispherical shell and half-ball.

Bimetallic Strip

A bimetallic strip is composed of the invar and copper. The left end of the bimetallic strip is fxed, and the right end is free, loaded by temperature difference. While neglecting self-weight, determine the deflection of the bimetallic strip (free end).

Torsional Vibrations

A double‑mass system consists of two shafts and two masses represented by the corresponding moments of inertia, concentrated in given distance as nodal masses. The left shaft is fixed, and the right mass is free. Neglecting the self‑weight of the shafts, determine the torsional natural frequencies of the system.

Bending Vibrations with Axial Force

A cantilever of rectangular cross‑section has a mass at its end. Furthermore, it is loaded by an axial force. Calculate the natural frequency of the structure. Neglect the self‑weight of the cantilever and consider the influence of axial force for the stiffness modification.

Truss Structure with Thermal Loading

A truss structure consists of three rods - one steel and two copper joined by a rigid member. The structure is loaded by a concentrated force and by a temperature difference. While neglecting self‑weight, determine the total deflection of the structure.

Gap-Filling Thermal Expansion

A steel rod between two rigid supports with a gap is loaded by a temperature difference. While neglecting self‑weight, determine the total deformation of the rod and its internal axial force.

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Knowledge Base

Knowledge Base

In the Knowledge Base, you’ll find technical articles and tips & tricks that may help you with your design using Dlubal Software.