Tento verifikační příklad vychází z verifikačního příkladu 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.
A double-mass oscillator consists of two linear springs and masses, which are concentrated at the nodes. Vlastní tíha pružin je zanedbána. Determine the natural frequencies of the system.
Jednoduchý oscilátor se skládá z tělesa o hmotnosti m (uvažuje se pouze ve směru osy x) a lineární pružiny s tuhostí k . The mass is embedded on a surface with Coulomb friction and is loaded by constant-in-time axial and transverse forces.
Dvojhmotový systém se skládá ze dvou hřídelů a dvou hmot reprezentovaných příslušnými momenty setrvačnosti soustředěnými v dané vzdálenosti jako uzlové hmoty. 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.
A cantilever of rectangular cross‑section has a mass at the end. Kromě toho je zatížena normálovou silou. Calculate the natural frequency of the structure. Neglect the self‑weight of the cantilever and consider the influence of the axial force for the stiffness modification.
Ve středu pole prostého nosníku působí krátkodobě osamělá síla. Considering only the small deformation theory and assuming that the mass of the beam is concentrated at its mid‑span, determine its maximum deflection.
Dvoupodlažní rámová konstrukce o jednom poli je vystavena seizmickému zatížení. The modulus of elasticity and cross‑section of the frame beams are much larger than those of the columns, so the beams can be considered rigid. The elastic response spectrum is given by the standard SIA 261/1:2003. Neglecting self-weight and assuming the lumped masses are at the floor levels, determine the natural frequencies of the structure. For each frequency obtained, specify the standardized displacements of the floors as well as equivalent forces generated using the elastic response spectrum according to the standard SIA 261/1.2003.
A long, thin beam is carrying a concentrated mass and is loaded by a time-dependent force. Je prostě podepřený. The problem is described using the following parameters. Determine the deflections in the given test times.
Časová analýza konzoly (SDOF - systém s jedním stupněm volnosti), která je buzena periodickou funkcí. Vertical deformations and accelerations calculated with direct integration and modal analysis in RF‑/DYNAM Pro - Forced Vibrations are compared with the analytical solution.
A cantilever beam with an I-beam cross-section of length L is defined. The beam has five mass points with masses m acting in the X-direction. Vlastní tíhu zanedbáme. The frequencies, mode shapes, and equivalent loads of this 5-DOF system are analytically calculated and compared with the results from RSTAB and RFEM.