Multibody system design based on reference dynamic characteristics: gyroscopic system paradigm

Abstract

The dynamic modeling of multibody systems has been recognized as a key aid in the analysis, design, optimization, and control of mechanical systems. During the past three decades, many software tools, whether commercial or in scientific research, have been introduced that enable the engineers to construct accurate models of multibody systems. These tools introduced powerful methods of the numerical solution, simulation and mathematical transformation that facilitated the process of modeling complex systems. One of the most challenging topics in this context, is the parameter estimation of multibody systems based on laboratory and experimental data and optimal design of such systems. This paper proposes an approach of utilizing optimization methods in the design of multibody systems in which the coordinates-dependent sensitivity of the system is at a definite level with respect to the parameter-dependent sensitivity. In order to attain this condition, the desired dynamic characteristics are introduced instead of experimental data on the estimation process. In the case of gyroscopic systems, these characteristics are either constant or limited in motion, and thus, the sensitivity is highly depended on the system parameters. Consequently, the design of the necessary system parameters can be accomplished with minimal computational effort. The experimental verification of the proposed approach was carried out on the Gyroscopic laboratory system. Eventually, the experimental data of the designed system was tested and compared with the referenced dynamic behavior, which showed acceptable performance in terms of accuracy and efficiency.

Keywords:

• Multibody systems
• parameters estimation
• optimal design

Acknowledgment

The authors are grateful to Jazan University, Automatic Control Laboratory, for using the licensed MATLAB software package and technical support.