DYNAMIC ANALYSIS OF NON-LINEAR CYLINDRICAL SHELL USING THE REGULAR PERTURBATION TECHNIQUE

Abstract

Ihe research work focuses on the dynamic analysis of the non-linear circular ...ylindrical shell. The mathematical model of the problem is based on onnell-Mushtari-Vlasov theory of shallow shells. The ensuing nonlinear partial fifferential equation is approximated by asymptotic series, resulting from regular aerturbation technique and the obtained equations were solved analytically. The ases of free and forced vibration were considered. In the latter, the cases of ulsating pressure and a moving force having constant magnitude were studied. he stability of the cylindrical shell with or without initial imperfection was also tudied. The result indicates exponential decay, away from the edge of the shell, vhich is one of the unique characteristics of a shell. From the numerically imulated results it is observed that higher modes of vibration can be neglected, is is because the contribution to the dynamic displacement is mainly in the first ode and the characteristic shape of the first mode is similar to the force istribution on the system. It is also observed that the increase in the excitation mplitude produces a wrinkling effect on the shell, which results in the shell eformation.