摘要
基于Kirchhoff薄板理论并应用哈密顿原理,建立旋转运动导电圆板的磁气弹性横向振动基本方程。根据电磁场基本原理并结合一种简化的气动模型,给出旋转运动圆板所受电磁力和气动载荷的表达式。运用伽辽金法进行积分,得到圆板的磁气弹性轴对称自由振动微分方程。通过算例,得到两种边界约束条件下圆板的固有振动特性曲线图,分析了固有频率随磁感应强度、板厚、气动力、旋转速度的变化规律,给出了临界阻尼下磁感应强度与板厚、气动力、旋转速度之间的关系曲线图并进行了分析。
Based on the Kirchoff plate theory and Hamiltonian principle,the magneto-aeroelastic transverse vibration equations of rotating conductive circular plate were derived. According to principles of electromagnetic field combined with a simplified aerodynamic model,the expressions of electromagnetic force and aerodynamic load of rotating circular plate were given.The magneto-aeroelastic free differential equation of conductive rotating circular plate was presented by means of Galerkin method. The curves of natural vibration characteristics of circular plates with two boundary conditions were drawn respectively.The analysis on the law of the vibration natural frequency varying with magnetic flux density,plate thickness,aerodynamic load and rotation speed is presented. The relationship graphs of magnetic flux density varying with plate thickness,aerodynamic load and rotation speed are described in the critical damping case.
出处
《机械强度》
CAS
CSCD
北大核心
2018年第1期1-7,共7页
Journal of Mechanical Strength
基金
国家自然科学基金(11472239)
河北省自然科学基金(A2015203023)
河北省高等学校自然科学研究重点项目(ZD20131055)资助~~
关键词
导电圆板
磁气弹性
横向振动
旋转运动
电磁场
伽辽金法
Conductive circular plate
Magneto-aeroelasticity
Transverse vibration
Rotating motion
Electromagnetic field
Galerkin method
