Hmotový systém s vůlí a dvěma pružinami se nejdříve vychýlí. Determine the natural oscillations of the system - deflection, velocity, and acceleration time course.
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.
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.
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.
Tento příklad slouží jako ukázka vazby diafragma. The application is shown on a two-story structure. The structure is loaded by means of lateral forces according to Figure 1. Determine the maximum deflection of the structure ux in the direction of the loading forces using both the diaphragm constraint and the plate model of the floor.
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.