Un sistema de una sola masa con juego y dos muelles se deforma inicialmente. Determine the natural oscillations of the system - deflection, velocity, and acceleration time course.
Un sistema monomasa con amortiguador está sometido a una fuerza de carga constante. Determine the spring force, damping force, and inertial force at the given test time. In this verification example, the Kelvin--Voigt dashpot (namely, a spring and a damper element in serial connection) is decomposed into its purely viscous and purely elastic parts, in order to better evaluate the reaction forces.
Un sistema monomasa con amortiguador está sometido a una fuerza de carga constante. Determine the deflection and velocity of the dashpot endpoint in the given test time.
El péndulo matemático consiste en una cuerda de peso cero y un punto de masa en su extremo. The pendulum is initially deflected. Determine the angle of the rope at the given test time.
Un oscilador de doble masa consta de dos muelles lineales y masas, que se concentran en los nudos. The self-weight of the springs is neglected. Determine the natural frequencies of the system.
Un oscilador simple consta de una masa m (considerada solo en la dirección x) y un muelle lineal de rigidez k. The mass is embedded on a surface with Coulomb friction and is loaded by constant-in-time axial and transverse forces.
Un sistema de doble masa consta de dos ejes y dos masas representadas por los momentos de inercia correspondientes, concentrados en una distancia dada como masas en nudos. 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.
Un voladizo de sección rectangular tiene una masa al final. 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 the axial force for the stiffness modification.
Una fuerza concentrada se aplica repentinamente en la mitad del vano de una viga simplemente apoyada en un momento dado. Considering only the small deformation theory, determine the maximum deflection of the beam.
Se aplica una fuerza concentrada durante un corto período de tiempo en la mitad del vano de una viga simplemente apoyada. Considering only the small deformation theory and assuming that the mass of the beam is concentrated at its mid‑span, determine its maximum deflection.
Una estructura de pórtico de un solo vano de dos plantas está sometida a una carga sísmica. 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.
Análisis en el dominio del tiempo de una viga en voladizo (sistema SDOF) excitada por una función periódica. Vertical deformations and accelerations calculated with direct integration and modal analysis in RF‑/DYNAM Pro - Forced Vibrations are compared with the analytical solution.