Linearly elastic suspension of the float gyroscope in the acoustic field

• Main Author: Галина Владимировна Бойко
• Format: Article
• Language: English
• Published: PC Technology Center 2013-11-01
• Series: Tehnologìčnij Audit ta Rezervi Virobnictva
• Subjects: float suspension of gyroscope; coordinate functions; elastic state; meridian line
• Online Access: http://journals.uran.ua/tarp/article/view/19534

The system of differential equations of float suspension of a gyroscope, in motions in the absence of transmission of the energy of flexural motion of the shell part on the end-walls is constructed. The most general case of elastic motions of the suspension surface is considered, a three-dimensional problem - elastic motions along the extension, along the parallel and in the transverse plane (the plane of the frame). The meridian line is assumed to be arbitrarily delineated. Differential equations of gyroscope suspension in the dimensionless form are derived. As a special case, the equations of the float in the form of a circular cylinder are obtained. All preliminary works on the creation of a mathematical model with a further solution of the optimization problems of the shell surface of the suspension on the basis of Fourier and Bubnov-Galerkin methods are performed. After the definition of coordinate functions in general form, there is a possibility of further studies involving software. The presence of spatial mathematical model of gyroscope suspension creates conditions for the choice of technical solutions on reduction of the impact of acoustic fields on the suspension and on the gyroscope accuracy, in particular.