Numerical methods to predict vibration serviceability on high frequency stairs

Abstract With the increasingly deepen knowledge on structural dynamic behaviour, nowadays, monumental staircases and their steps are usually designed with high stiffness low mass, obtaining fundamental frequencies, out of interval step frequencies excitable by human walking. However, neglecting structure’s mass can also result in levels impulsive responses. Furthermore, often connection between staircase its experience an almost null rotational stiffness, which cause local vibrations steps, where behaviour two elements is nearly independent from each other. In this scenario, will most likely exhibit undesirable vibrations. Hence, intending to improve future designs, paper compares different numerical methods that be used predict induced type structures, applying them a real liveness. The results showed footfall force time histories method could realistically for all tested while effective impulse accurately estimate descents at frequencies. walking models defined Fourier coefficients only generated close 3.3 Hz.