Flexural Vibration Analysis And Multi-Supports Distribution Of Drive Shaft With Multi-Supports

A drive shaft with multi-supports is usually used in the tail drive system of a helicopter. The dynamic characteristics of a drive shaft are concerned with stability, security and physical design, etc. In this thesis, a study is made of flexural vibration analysis, distribution of multi-supports, dynamics optimization design and software development of dynamics analysis or design for a drive shaft with multi-supports.Firstly, under non-inertia movement coordinates system and nonlinear system, the flexural motion of a drive shaft with multi-supports is formulated, the amplitude- frequency response and amplitude jump and topology structure of bifurcation are analyzed. Then, a series of method to prevent flexural resonance vibration, or weaken the level of main resonance is given for a drive shaft with multi-supports.Secondly, the middle supports influences flexural vibration of a drive shaft with multi-supports. By theoretic analysis and data comparison, the relationship between middle supports and flexural vibration of a drive shaft is abtained. Based on MATLAB optimization toolbox, the dynamics optimization design of a drive shaft and the distribution of the middle supports are analyzed to prevent flexural resonance vibration of a drive shaft with multi-supports and waken the level of main resonance.Finally, the GUI module of MATLAB is used to develop the software of dynamics analysis and design of a drive shaft. The function of the software includes the natural frequency of a drive shaft, main resonance amplitude, and rotate speed under main resonance, amplitude-frequency response curve and topology structure of bifurcation curve, distribution of the middle supports and the designs of the drive shaft with multi-supports.