Higher order linearization in nonlinear random vibration

DOI10.1016/0020-7462(88)90036-4zbMath0667.70035OpenAlexW2128207003MaRDI QIDQ1117731

R. Narayana Iyengar

Publication date: 1988

Published in: International Journal of Non-Linear Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7462(88)90036-4

zbMATH Keywords

Duffing oscillator under white noise inputhigher order linearization methodnon-linear random vibration problems

Mathematics Subject Classification ID

Random vibrations in mechanics of particles and systems (70L05) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (10)

Probability density statistical and equivalent linearization techniques ⋮ An approach to the problem of closure in nonlinear stochastic mechanics ⋮ Dual approach to local mean square error criterion for stochastic equivalent linearization ⋮ A weak form of stochastic Newmark method with applications to engineering dynamical systems ⋮ A technique for obtaining approximate solutions in Gaussian equivalent linearization ⋮ Global-local mean square error criterion for equivalent linearization of nonlinear systems under random excitation ⋮ Weak forms of the locally transversal linearization (LTL) technique for stochastically driven nonlinear oscillators ⋮ Methods of nonlinear random vibration analysis. ⋮ Random excitation of nonlinear elastic structures with internal resonances. ⋮ The equivalent linearization method with a weighted averaging for solving undamped nonlinear oscillators

This page was built for publication: Higher order linearization in nonlinear random vibration