Beschreibung:
AbstractWe present a modified version of the Mode Shape‐Based Estimation (MSBE) technique to estimate the structural response at non‐instrumented floors of a multi‐story building. The proposed approach requires less user interference when compared to the conventional MSBE technique. Moreover, in the case of high‐rise structures, it provides improved accuracy. In the suggested approach, the structure is modeled as a cantilever beam based on either Timoshenko or Bernoulli‐ Euler beam theory. The unknown terms of the frequency‐dependent solution to the differential equation are estimated using the first natural frequency of the structure. Then, deflected shapes corresponding to any frequency can be approximated using the theoretical solution. The contribution of either Bernoulli‐Euler or Timoshenko Beam modes to the overall response is calculated at each time step and each frequency by using the frequency‐dependent solution to the governing differential equation. Thereby, the response at each time step is simulated in a least‐square sense, in which both the low‐ and high‐frequency content of the vibration is considered. Additionally, any possible nonlinear behavior of the structure is considered implicitly. In this study, we first present the theoretical background of the proposed approach, then applied the methodology to real‐world buildings.