Nonstationary seismic response of a tank on a bilinear hysteretic soil using wavelet transform

• Published in: Probabilistic engineering mechanics Vol. 21; no. 1; pp. 54 - 63
• Main Authors: Chatterjee, Pranesh, Basu, Biswajit
• Format: Journal Article
• Language: English
• Published: Oxford Elsevier Ltd 2006; Elsevier Science
• Subjects: Applied sciences; Buildings. Public works; Elasto-perfectly plastic hysteresis; Exact sciences and technology; Fundamental areas of phenomenology (including applications); Geotechnics; Inelasticity (thermoplasticity, viscoplasticity...); Nonlinear soil medium; Nonstationary; Physics; Seismic; Soil mechanics. Rocks mechanics; Solid mechanics; Structural and continuum mechanics; Tank; Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...); Wavelet; Wavelet; Nonstationary; Elasto-perfectly plastic hysteresis; Nonlinear soil medium; Tank; Seismic; Bilinear system; Spectral energy distribution; Gaussian distribution; Elastic wave; Modeling; Inelasticity; Elastoplasticity; Pulse response; Earthquakes; Spring mass damper system; Root mean square value; Mechanical hysteresis; Storage tank; Random vibration; Power spectral density; Non stationary condition; Soil mechanics; Wavelet transformation; Truncated shape; S wave; Non linear effect
• ISSN: 0266-8920; 1878-4275
• DOI: 10.1016/j.probengmech.2005.07.004

A wavelet based nonlinear random vibration theory has been proposed in the present study to obtain responses of liquid storage tanks in form of instantaneous root mean square displacements of impulsive modes of the tank-liquid system supported on bilinear hysteretic (elasto-perfectly plastic) soil medium. The superstructure has been modeled by a combination of mass-spring-damper system. In order to evaluate the instantaneous root mean square values of the displacement responses of the tanks, zeroth moments of instantaneous power spectral density function (PSDF) have been evaluated. The hysteretic displacement is assumed to follow a truncated mixed Gaussian distribution. The evaluation of this zeroth moment depends on the post-yield or the pre-yield state of the hysteretic spring. The instantaneous root-mean-square (r.m.s) impulsive displacement response of the tank has been validated by simulation. A parametric study has been carried out to see the effects of the soil nonlinearity, the shear wave velocity in the soil and the height of the tank on tank responses.