Abstract
Vibrations of an orthotropic cylindrical panel, non-uniform in thickness, supported by longitudinal ribs, lying on a linearly viscoelastic foundation, were investigated. The Hamilton – Ostrogradsky variational principle was used to find the vibration frequencies of the panel. A frequency equation is constructed, its roots are found, and the influence of physical and geometric parameters characterizing the system is studied.
Highlights
Cylindrical panels are widely used in modern technology, power engineering, and in various fields of construction and engineering
In [5], a problem of lateral vibrations of a circular cross-section inhomogeneous cylindrical shell lying on a viscous-elastic foundation, is considered
To apply the Hamilton – Ostrogradsky variational principle, we write the total energy of the structure under investigation, consisting of an orthotropic cylindrical panel inhomogeneous in thickness and stiffening elements whose number varies
Summary
Cylindrical panels are widely used in modern technology, power engineering, and in various fields of construction and engineering. In [5], a problem of lateral vibrations of a circular cross-section inhomogeneous cylindrical shell lying on a viscous-elastic foundation, is considered. The problem of natural vibrations of a circular cross-section cylindrical shell inhomogeneous only along the length and lying on inhomogeneous viscous-elastic medium, is considered in [6, 7].
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