Topic
Random vibration
About: Random vibration is a research topic. Over the lifetime, 4494 publications have been published within this topic receiving 69569 citations.
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TL;DR: In this article, a new response spectrum method is developed for seismic analysis of linear multi-degree-of-freedom, multiply supported structures subjected to spatially varying ground motions, including variations of the ground motion due to wave passage, loss of coherency with distance and variation of local soil conditions.
Abstract: A new response spectrum method is developed for seismic analysis of linear multi-degree-of-freedom, multiply supported structures subjected to spatially varying ground motions. Variations of the ground motion due to wave passage, loss of coherency with distance and variation of local soil conditions are included. The method is based on fundamental principles of random vibration theory and properly accounts for the effects of correlation between the support motions as well as between the modes of vibration of the structure.
419 citations
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TL;DR: In this article, a differential equation model for hysteretic systems with strength, stiffness or combined degradation is presented, without recourse to the Krylov-Bogoliubov approximation.
Abstract: A differential equation model for hysteretic systems with strength, stiffness or combined degradation is presented. Solution under white noise, Kanai filtered white noise and temporally modulated filtered white noise is obtained by equivalent linearization, without recourse to the Krylov-Bogoliubov approximation typically required for hysteretic systems. Resulting zero time lag covariance response matrices agree well with simulated solutions at all excitation levels. First passage predictions are nonconservative, because of the non-Gaussian character of the response.
414 citations
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TL;DR: In this paper, a random vibration method is developed for the response analysis of hysteretic structural systems under stochastic two-dimensional earthquake excitations, where the biaxial restoring force is modelled by coupled nonlinear differential equations; the response statistics are obtained using the equivalent linearization technique.
Abstract: A random vibration method is developed for the response analysis of hysteretic structural systems under stochastic two-dimensional earthquake excitations. The biaxial hysteretic restoring force is modelled by coupled non-linear differential equations; the response statistics are obtained using the equivalent linearization technique. The validity of the proposed model is appraised using available biaxial loading tests of reinforced concrete columns. A parametric study was performed to examine the significance of the effects of biaxial interaction under earthquake excitations. A practical method to evaluate the extreme response statistics is also presented.
399 citations
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TL;DR: In this article, the authors discussed the nature of damping mechanisms and how the damping depends on the amplitude and frequency of the cyclic motion of the system. But they did not consider the effect of the frequency and amplitude on damping.
384 citations
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TL;DR: In this paper, a differential equation model to describe the pinching, degrading response of hysteretic elements is presented, where the model consists of a nonpinching element, in series with a "slip-lock" element.
Abstract: A differential equation model to describe pinching, degrading response of hysteretic elements is presented. The model consists of a nonpinching hysteretic element, in series with a “slip-lock” element. Zero mean response statistics for a single degree of freedom oscillator whose stiffness is described by the series model, computed by equivalent linearization and by Monte Carlo simulation, are compared. The model response statistics are seen to be reasonable estimated by equivalent linearization.
325 citations