Thin Shell Contact And Friction Based On Absolute Nodal Coordinate Formulation

Due to the continuous development of the times and the continuous advancement of science and technology,the aerospace,engineering,machinery,military and other fields are facing new situations in mechanics research.In the development of the aerospace industry,the research on the dynamics of flexible multibody systems is becoming increasingly important.With the deepening of space exploration,the space structure in the space environment is developing towards a large-scale trend.This has proposed the structure and mechanism of spacecraft.higher requirement.The thin shell structure has the advantages of light weight,large expandability,and high space utilization,and is increasingly used in space expandable structures on spacecraft.However,domestic research on multi-body system dynamics began in the 1980 s,and there is a large gap compared with some countries in the United States,Japan,and Europe.Research on flexible multi-body system dynamics has only gradually begun in the1990 s.The dynamics of the expandable thin-shell structure in space belongs to the research field of flexible multibody system dynamics,which is of great significance to China's aerospace science and technology and space exploration.The working process of the expandable thin shell structure in a spacecraft will have rigid large displacement motion and flexible large deformation motion.The absolute node coordinate method proposed by Shabana is suitable for describing the rigid-flexible coupling motion of a flexible body.The work of thin shell structures has experienced contact and friction between thin shells.The absolute node coordinate method makes the development of flexible multibody system dynamics enter a new stage.It integrates continuum mechanics and finite element theory more deeply,and adapts to the era of rapid increase in computing power.Modeling the thin shell structure by using the thin shell element based on the absolute node coordinate method can well describe the large deformation and large displacement coupling motion of the thin shell structure considering frictional contact.In this paper,the following aspects of the contact friction dynamics of thin shells are studied based on the absolute node coordinate method:1.The three-dimensional reduced thin shell element based on the absolute nodal coordinate method is introduced.Based on the theory of continuum mechanics and finite element theory,the strain energy of the thin shell element is derived.And its elasticity Jacobian matrix.2.Based on the above-mentioned thin shell elements based on the absolute node coordinate method,a master-slave shell contact detection algorithm is used to perform contact detection on the two thin shells.Based on the master-slave contact detection method and the penalty function method,the normal contact force between two thin shell elements and the Jacobian matrix of the normal contact force are obtained..3.Based on the master-slave thin-shell contact detection algorithm,several friction contact models are introduced,and the tangential contact force of the shell element and its Jacobian matrix are obtained.The contact force and the Jacobian matrix of the contact force of the shell element under the friction contact model are obtained.4.The generalized-? algorithm is used to simulate the friction contact and collision dynamics between two thin shell cylinders based on the absolute node coordinate method.The results show that the contact friction of the thin shell based on the absolute node coordinate method can be well described Kinetic issues.