Higher-Order WHEP Solutions of Quadratic Nonlinear Stochastic Oscillatory Equation
نویسندگان
چکیده
منابع مشابه
Higher-Order WHEP Solutions of Quadratic Nonlinear Stochastic Oscillatory Equation
This paper introduces higher-order solutions of the quadratic nonlinear stochastic oscillatory equation. Solutions with different orders and different number of corrections are obtained with the WHEP technique which uses the WienerHermite expansion and perturbation technique. The equivalent deterministic equations are derived for each order and correction. The solution ensemble average and vari...
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In this paper, quadratic nonlinear oscillators under stochastic excitation are considered. The Wiener-Hermite expansion with perturbation (WHEP) method and the homotopy perturbation method (HPM) are used and compared. Different approximation orders are considered and statistical moments are computed in the two methods. The two methods show efficiency in estimating the stochastic response of the...
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ژورنال
عنوان ژورنال: Engineering
سال: 2013
ISSN: 1947-3931,1947-394X
DOI: 10.4236/eng.2013.55a009