Данный контрольный пример основан на контрольном примере 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.
Простой осциллятор состоит из массы m (рассчитываемой только в направлении x) и линейной пружины с жесткостью k. The mass is embedded on a surface with Coulomb friction and is loaded by constant-in-time axial and transverse forces.
Система двух масс состоит из двух стержней и двух масс, представленных соответствующими моментами инерции, сосредоточенными на заданном расстоянии в качестве узловых масс. 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.
В середине пролета простой опёртой балки в течение короткого промежутка времени приложена сосредоточенная сила. Considering only the small deformation theory and assuming that the mass of the beam is concentrated at its mid‑span, determine its maximum deflection.
Двухэтажная однопролетная каркасная конструкция подвержена сейсмической нагрузке. 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.
Расчет изменений во времени для консольной балки (система SDOF), возбужденной периодической функцией. 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. Собственный вес не учитывается. The frequencies, mode shapes, and equivalent loads of this 5-DOF system are analytically calculated and compared with the results from RSTAB and RFEM.