燕山大学学报
燕山大學學報
연산대학학보
JOURNAL OF YANSHAN UNIVERSITY
2015年
2期
170-176
,共7页
载流梁%强迫振动%轴向运动%磁场%伽辽金法
載流樑%彊迫振動%軸嚮運動%磁場%伽遼金法
재류량%강박진동%축향운동%자장%가료금법
conductive beam%forced vibration%axial movement%magnetic field%Galerkin integral method
研究轴向运动载流梁在磁场环境下的磁弹性强迫振动。首先推出系统的动能、势能以及电磁力的表达式，进而应用哈密顿变分原理推出轴向运动载流梁在磁场环境中的磁弹性强迫振动方程。依据设定的位移函数，应用伽辽金积分法分别推出轴向运动载流梁在3种不同边界约束条件下的强迫振动微分方程，并对方程进行求解。通过算例，绘制出不同边界条件下轴向运动载流梁的频率变化曲线图、响应图和相图，分析磁场、电流密度以及轴向运动速度等对振动特性的影响。
研究軸嚮運動載流樑在磁場環境下的磁彈性彊迫振動。首先推齣繫統的動能、勢能以及電磁力的錶達式，進而應用哈密頓變分原理推齣軸嚮運動載流樑在磁場環境中的磁彈性彊迫振動方程。依據設定的位移函數，應用伽遼金積分法分彆推齣軸嚮運動載流樑在3種不同邊界約束條件下的彊迫振動微分方程，併對方程進行求解。通過算例，繪製齣不同邊界條件下軸嚮運動載流樑的頻率變化麯線圖、響應圖和相圖，分析磁場、電流密度以及軸嚮運動速度等對振動特性的影響。
연구축향운동재류량재자장배경하적자탄성강박진동。수선추출계통적동능、세능이급전자력적표체식，진이응용합밀돈변분원리추출축향운동재류량재자장배경중적자탄성강박진동방정。의거설정적위이함수，응용가료금적분법분별추출축향운동재류량재3충불동변계약속조건하적강박진동미분방정，병대방정진행구해。통과산례，회제출불동변계조건하축향운동재류량적빈솔변화곡선도、향응도화상도，분석자장、전류밀도이급축향운동속도등대진동특성적영향。
The forced vibration of the conductive beam with axial movement in the magnetic field environment is described in this paper.Firstly the expressions of the kinetic energy potential energy and the electromagnetic force of the system are concluded and then the equation of magneto?elastic forced vibration of the conductive beam with axial movement in the magnetic field environment is obtained by applying the Hamilton variational principle.Based on the displacement function set forced vibration differential equa?tions of the conductive beam with axial movement at the three different boundary conditions are acquired by using the Galerkin method.The graphs of the frequency change response and phase of the conductive beam with axial movement under the different boundary conditions are drawn and the influences of magnetic field current density and axial velocity on vibration are analyzed.
