Conditional Linearization in Nonlinear Random Vibration

Radhika Iyengar · Debasish Roy

13 citations0/0 files storedJournal of Engineering Mechanics

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Probabilistic and Robust Engineering Design Vibration and Dynamic Analysis stochastic dynamics and bifurcation

Abstract

In this paper, an improved probabilistic linearization approach is developed to study the response of nonlinear single degree of freedom (SDOF) systems under narrow-band inputs. An integral equation for the probability density function (PDF) of the envelope is derived. This equation is solved using an iterative scheme. The technique is applied to study the hardening type Duffing's oscillator under narrow-band excitation. The results compare favorably with those obtained using numerical simulation. In particular, the bimodal nature of the PDF for the response envelope for certain parameter ranges is brought out.

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References

1976Probabilistic Theory of Structural Dynamics 1978Study of the Random Vibration of Nonlinear Systems by the Gaussian Closure Technique 1978Stationary Response of a Randomly Parametric Excited Nonlinear System

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