Vibrations of a conservative, gyroscopic system
Abstract
The present investigation is concerned with a discrete vibratory system consisting of rigid bodies. Some of these bodies are axisymmetric and are rotating around their axes with a constant angular speed. It is assumed that all body axes are located in the plane of symmetry of the entire system. The individual bodies are connected by means of elements with translational and rotational elasticity characteristics. The connecting elements can be used to simulate beams clamped under elastic conditions. The perturbation term of an n-dimensional linear conservative gyroscopic system is considered. A matrix approach is used in the investigation, and the complete solution is obtained as the sum of the homogeneous and the particular solution with the aid of the convolution integral, taking into account an approach reported by Mueller and Schiehlen (1976).
- Publication:
-
Gesellschaft angewandte Mathematik und Mechanik Jahrestagung Goettingen West Germany Zeitschrift Flugwissenschaften
- Pub Date:
- 1983
- Bibcode:
- 1983GMMWJ..63...53H
- Keywords:
-
- Gyroscopic Stability;
- Matrix Methods;
- Rigid Structures;
- Rotating Bodies;
- Structural Vibration;
- Angular Velocity;
- Axisymmetric Bodies;
- Elastic Properties;
- Engineering (General)