Nonlinear dynamics of the spacial vibration system considering the interactions between the frame and materials

• Published in: Communications in nonlinear science & numerical simulation 2023-10, Vol.125, p.107356, Article 107356
• Main Authors: Li, Lingxuan, Zhang, Haonan, Xing, Zhuang, Ma, Zhenwei
• Format: Article
• Language: English
• Subjects: DEM; Interaction force; Sliding pattern; Spiral conveying; Throwing pattern; Wilson-[formula omitted] method
• ISSN: 1007-5704; 1878-7274
• DOI: 10.1016/j.cnsns.2023.107356

The vibration mass of materials is a major technical bottleneck restricting the development of intelligent and upsizing vibration machinery. It cannot be ignored and fluctuates greatly under different working conditions, especially for complex space vibration systems, such as vertical vibration conveyors used to lift materials. This paper investigated the kinematic theory of the material sliding and throwing in three-dimensional space. Firstly, the dynamic coupling model between the machine body and materials is established, the kinematic characteristics of the bulk materials under the sliding and throwing patterns in the space vibration system are investigated, and the kinematics equations of the material under the sliding and throwing patterns are derived. Secondly, the solution procedure of the Wilson-θ method is given and verified by the Discrete Element Method (DEM). Meanwhile, the variations of the steady interval of materials, the path of the machine body, and conveying velocity are further discussed. Finally, the feasibility of the material’s kinematic theory investigation with a view to supplementing the interaction between the machine body and materials is verified by experiments. The results indicate that the system’s interaction force significantly affects the material’s moving patterns and the machine body’s dynamic characteristics. •The model of materials moving on the spacial vibration system is firstly presented.•The interactions between the frame and materials is mainly studied.•The solution of sliding/throwing pattern are obtained by the Wilson-θ method.•The solution correctness and the feasibility are verified by DEM and experiments.