The nonlinear unsymmetrically laminated composite beams on Winkler-Pasternak fundation


  • Bogdan Marinca Politehnica University Timisoara
  • Vasile Marinca Politehnica University Timisoara. Center for Advances and Fundamental Technical Research, Romanian Academy, Timisoara Branch, Bd. M.Viteazul Nr. 24, 300233, Timisoara Romania


Nonlinear equations, composite beam, OPIM


In this study, Optimal Parametric Iteration Method (OPIM) is presented for large amplitude free vibrations of nonlinear unsymmetrically laminated composite beams on Winkler – Pasternak elastic foundation. Based on von Kárman geometric nonlinearity, on Euler – Bernoulli beam theory and Galerkin procedure, we obtain a second-order nonlinear differential equation with quadratic and cubic terms. Comparison between results of the present work and those of numerical results shows the accuracy of our approach.


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