2. Benchmark solution#

2.1. Benchmark results#

  • Accelerogram not centered

\(t=7.935\)

\({a}_{\mathrm{max}}=–0.638\)

\(f=100\)

\(\xi =0.01\)

pseudo-absolute acceleration

\(0.638\times 9.81=6.25878\)

Displacement

\(0.638\times 9.81/{(2\pi \times 100)}^{2}=1.61607\mathrm{.}{10}^{-6}\)

  • Centered accelerogram

\(t=3.1\)

\({a}_{\mathrm{max}}=1.\)

\(f=100\mathrm{Hz}\)

\(\xi =0.01\)

pseudo-absolute acceleration

\(1.\)

  • Oscillator spectrum

\(f=0.5\mathrm{Hz}\)

\(\xi =0.01\)

pseudo-absolute acceleration

\(1.09558\)

\(\xi =0.05\)

pseudo-absolute acceleration

\(0.657348\)

\(\xi =0.1\)

pseudo-absolute acceleration

\(0.109558\)

2.2. Uncertainty about the solution#

Analytical solution.

2.3. Bibliographical references#

  1. J.R. LEVESQUE, L. VIVAN, D. SELIGMANN « Seismic response by spectral method » [R4.05.03].