The dynamics of a circular cylindrical shell carrying a rigid disk on the top and clamped at the base is investigated.The Sanders–Koiter theory is considered to develop a nonlinear analytical model for moderately largeshell vibration. A reduced order dynamical system is obtained using Lagrange equations: radial and in-planedisplacement fields are expanded by using trial functions that respect the geometric boundary conditions.The theoretical model is compared with experiments and with a finite element model developed withcommercial software: comparisons are carried out on linear dynamics.The dynamic stability of the system is studied, when a periodic vertical motion of the base is imposed.Both a perturbation approach and a direct numerical technique are used. The perturbation method allowsto obtain instability boundaries by means of elementary formulae; the numerical approach allows to performa complete analysis of the linear and nonlinear response.
Linear and nonlinear dynamics of a circular cylindrical shell connected to a rigid disk / Pellicano, Francesco; Avramov, K. V.. - In: COMMUNICATIONS IN NONLINEAR SCIENCE & NUMERICAL SIMULATION. - ISSN 1007-5704. - STAMPA. - 12(4):(2007), pp. 496-518. [10.1016/j.cnsns.2005.04.004]
Linear and nonlinear dynamics of a circular cylindrical shell connected to a rigid disk
PELLICANO, Francesco;
2007
Abstract
The dynamics of a circular cylindrical shell carrying a rigid disk on the top and clamped at the base is investigated.The Sanders–Koiter theory is considered to develop a nonlinear analytical model for moderately largeshell vibration. A reduced order dynamical system is obtained using Lagrange equations: radial and in-planedisplacement fields are expanded by using trial functions that respect the geometric boundary conditions.The theoretical model is compared with experiments and with a finite element model developed withcommercial software: comparisons are carried out on linear dynamics.The dynamic stability of the system is studied, when a periodic vertical motion of the base is imposed.Both a perturbation approach and a direct numerical technique are used. The perturbation method allowsto obtain instability boundaries by means of elementary formulae; the numerical approach allows to performa complete analysis of the linear and nonlinear response.
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