旋转运动圆板结构磁气弹性耦合动力学模型及稳定性研究

项目名称： 旋转运动圆板结构磁气弹性耦合动力学模型及稳定性研究

项目编号： No.11472239

项目类型： 面上项目

立项/批准年度： 2015

项目学科： 数理科学和化学

项目作者： 胡宇达

作者单位： 燕山大学

项目金额： 75万元

中文摘要： 电磁场环境中旋转运动结构将表现出力、磁、气及运动间的多场耦合机制，形成复杂非线性效应，其中磁气弹性耦合动力学机理的研究是学科发展前沿课题，具有重要理论意义和应用前景。 本项目考虑变形场、电磁场和气动弹性间的相互作用，研究磁场中旋转运动导电导磁圆板结构磁气弹性耦合动力学问题，致力于多物理场耦合系统的理论建模、数学求解及计算分析问题的解决，揭示力、磁、转速、气动等多种效应间的耦合机理。开展的创新性研究工作包括：建立旋转运动圆板结构磁气弹性耦合非线性动力学方程组，给出电磁力与气动力的相互关联表达式；研究旋转结构动力失稳与多场耦合共振问题，阐明动力失稳的诱发原因以及多重共振与参数共振的激发机理；研究旋转结构分岔与混沌稳定性问题，揭示耦合系统的分岔性态，得到混沌行为的理论判据。 通过本项目的研究，将在耦合场问题理论建模、动力系统稳定性分析等方面取得创新性研究成果，并为实际问题研究提供理论参考。

中文关键词： 多场耦合；结构动力学；非线性振动；非线性动力学

英文摘要： Rotary motion structures show the multi-field coupling mechanism among the mechanical load, magnetism, air and movement in the electromagnetic environment, which leads a complex nonlinear effect. The mechanism study on the magnetic-aeroelastic coupling dynamics is one leading subject of the disciplinary development, which has important theoretical significance and application prospects. The project considers the interaction between the deformation field, electromagnetic fields and aero-elasticity, investigates the magnetic-aeroelastic coupling dynamic problem of the conductive magnetic circular plate structure with rotary motion in the magnetic field, devotes to solve the problem of the multi-physics coupling system theoretical modeling, solving mathematical and computational analysis, and reveals the coupling mechanism among the mechanical load, magnetism, rotational speed, aerodynamic and other factors. The innovative research work to be conducted includes: establish the magnetic-aeroelastic coupling nonlinear dynamical equations of the circular plate structure with rotary motion and give the interrelated expressions of the electromagnetic force and aerodynamic force; study the dynamic instability and multi-field coupling resonance problems of the rotating structure, and clarify the induced reasons of the dynamic instability and the excitation mechanism of the multiple resonance and parametric resonance; investigate the bifurcation and chaos rotating structure stability and reveal the bifurcation behaviors of the coupled system, which resulting in the theoretical criterion of the chaotic behavior. Through the study of this project, systematic and depth promising research results will be presented in the theoretical modeling of coupled field and the dynamic stability analysis, which can provide a theoretical reference for the study of the practical problems.

英文关键词： Multi-field coupling;Structural dynamics;Nonlinear vibration;Nonlinear dynamics