Dynamics and statics of flexible axially symmetric shallow shells
In this work, we propose the method for the investigation of stochastic vibrations of deterministic mechanical systems represented by axially symmetric spherical shells. These structure members are widely used as sensitive elements of pressure measuring devices in various branches of measuring and c...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2006-01-01
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| Series: | Mathematical Problems in Engineering |
| Online Access: | http://dx.doi.org/10.1155/MPE/2006/35672 |
| Summary: | In this work, we propose the method for the investigation of
stochastic vibrations of deterministic mechanical systems
represented by axially symmetric spherical shells. These structure
members are widely used as sensitive elements of pressure
measuring devices in various branches of measuring and control
industry, machine design, and so forth. The proposed method can be
easily extended for the investigation of shallow spherical shells,
goffer-type membranes, and so on. The so-called charts of control
parameters for a shell subjected to a transversal uniformly
distributed and local harmonic loading force and resistance moment
are constructed. The scenarios of the transition of vibration of
shallow-type system into chaotic state are investigated with the
use of the theory of differential equations and the theory of
nonlinear dynamics. The method of the control of chaotic
vibrations of flexible spherical shells subjected to a transversal
harmonic load through a synchronized action of either harmonic
resistance moment or force is proposed, illustrated, and
discussed. |
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| ISSN: | 1024-123X 1563-5147 |