中文摘要：

为研究强振动对比例电磁铁输出力特性的影响,应用电磁场理论和强迫振动理论建立了强振动环境下比例电磁铁的动态数学模型和仿真模型,仿真分析了不同振动参数下比例电磁铁的气隙磁阻、动生感应电动势及输出力的变化规律,讨论了强振动对电磁铁输出力的影响原理。同时分析了衔铁质量、阻尼系数、弹簧刚度对比例电磁铁输出力波动的影响规律。结果表明：强振动幅值和频率与电磁铁的动生感应电动势的波动幅值正相关;比例电磁铁的气隙磁阻和输出力的波动幅值与强振动幅值呈线性正相关;随阻尼系数的增加,比例电磁铁输出力的波动幅值近似线性减小;弹簧刚度小于20 000N/m时比例电磁铁的输出力波动幅值随刚度增加而快速减小。研究结果为提高振动环境下比例元件的工作性能提供了理论参考。

英文摘要：

To study the output force characteristics of proportional solenoid under the strong vibration,the dynamic mathematical model and simulation model were established by using the electromagnetic field theory and forced vibration theory.The gap reluctance,motional electromotive force and the output force under different vibration parameters were studied by simulations,and the influence principle of strong vibration on the output force was discussed.Meanwhile,the output force fluctuation caused by the change of armature quality,damping coefficient and spring sitffness was analyzed under the strong vibration.Results indicated that the amplitude and frequency of vibration and motional electromotive force fluctuation amplitude were positive related,the output force fluctuation amplitude and gap reluctance were linear positive with vibration amplitude.The output force fluctuation amplitude decreased approximately linearly with the increase of the damping coefficient under the strong vibration.When the spring stiffness was smaller than 20 000N/m,the output force fluctuation amplitude decreased rapidly with the increased of the spring stiffness.The results can provide the theoretical reference for improving the performance of the proportional components under the vibration environment.