Studies On Modeling Of Flexible Multi-body System Dynamics

Multibody system dynamics is an important research branch in the modern mechanics.The modeling, dynamical analysis, design and dynamical control of multibody systemdynamics has become an interesting subject. The earlier work of multi-body systemdynamics focused on multi-rigid system dynamics on the basis of theory of classicalmechanics, and some achievements has been made. From the1970s, with the rapiddevelopment of the aerospace, military, high-precision technology, lightweight flexiblematerial widely used in engineering and the actual production gradually developed. Flexiblemulti-body system dynamics study is unfolding in this context. Flexible multi-body systemdynamics study the wide range of dynamic behavior of rigid and deformable body, it is theexpansion and development of multi-rigid system dynamics and it is a cross-disciplinarycombined with classical dynamics, continuum mechanics, computational mechanics andmodern control theory.This thesis focuses on the following problems. Section1introduces the researchbackground of multi-body systems, and mainly focused on the current development andresearch methods of flexible multi-body system; Section2introduces the basic knowledgeand related concepts of the multi-body system, such as: strain gradient, strain, stress, balanceequations and the constitutive equations; Section3gives a summary on the modeling methodsof flexible multi-body system dynamics, and focuses on the floating coordinate method, andabsolute nodal coordinate method; Section4uses the floating coordinate method to establishthe kinetic equation of a plane crank; Section5uses the absolute nodal coordinate method toderived the equation of motion of a flexible beam. These research works laid the foundationfor further follow-up studies.