Open AccessForced vibrations of beveled non-circular conical thin-walled structures of variable thickness
Author(s) -
Vladimir Kozlov,
Andrey V. Chernikov
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1479/1/012141
Subject(s) - conical surface , ordinary differential equation , boundary value problem , stress resultants , variable (mathematics) , rocket (weapon) , vibration , differential equation , bevel , mathematics , mathematical analysis , geometry , structural engineering , physics , finite element method , engineering , acoustics , aerospace engineering
The stress distribution in shells of variable thickness must be taken into account when designing various elements of general and transport engineering, aviation, rocket and space technology, structures. The paper presents one of the possible approaches to the dynamic calculation of a thin-walled non-circular conical structure rigidly fixed along a beveled end section. The resolving system of ordinary differential equations was obtained in the framework of the technical theory of shells using the variational Lagrange principle. The boundary-value problem of determining dynamic stresses in the structure under consideration under the influence of a harmonic load is solved numerically by the method of orthogonal sweeping of a system of linear ordinary differential equations of the first order. In contrast to the known works, a variable thickness of the structure along the length is considered.