天津大学学报
天津大學學報
천진대학학보
JOURNAL OF TIANJIN UNIVERSITY SCIENCE AND TECHNOLOGY
2010年
4期
303-308
,共6页
周世才%杨玉虎%沈煜%沈兆光
週世纔%楊玉虎%瀋煜%瀋兆光
주세재%양옥호%침욱%침조광
五杆机构%优化平衡%凸规划
五桿機構%優化平衡%凸規劃
오간궤구%우화평형%철규화
five-bar linkages%optimum balancing%convex optimization
考虑到摆动力和摆动力矩完全平衡将会使机构结构更复杂、惯性大幅增加,故在建立机座三自由度受迫振动模型的基础上,分别以其平均动能、平均势能以及平均动能和平均势能之和为目标函数,建立平面铰链五杆机构的优化平衡一般模型,采用凸规划方法对优化模型进行求解计算.以平均动能目标函数为例,计算优化综合平衡后机构的摆动力和摆动力矩及机座的振动响应.结果表明,优化综合平衡后机构的摆动力和摆动力矩以及机座的振动响应均明显降低.因此该方法可有效优化综合平衡平面铰链五杆机构.
攷慮到襬動力和襬動力矩完全平衡將會使機構結構更複雜、慣性大幅增加,故在建立機座三自由度受迫振動模型的基礎上,分彆以其平均動能、平均勢能以及平均動能和平均勢能之和為目標函數,建立平麵鉸鏈五桿機構的優化平衡一般模型,採用凸規劃方法對優化模型進行求解計算.以平均動能目標函數為例,計算優化綜閤平衡後機構的襬動力和襬動力矩及機座的振動響應.結果錶明,優化綜閤平衡後機構的襬動力和襬動力矩以及機座的振動響應均明顯降低.因此該方法可有效優化綜閤平衡平麵鉸鏈五桿機構.
고필도파동력화파동력구완전평형장회사궤구결구경복잡、관성대폭증가,고재건립궤좌삼자유도수박진동모형적기출상,분별이기평균동능、평균세능이급평균동능화평균세능지화위목표함수,건립평면교련오간궤구적우화평형일반모형,채용철규화방법대우화모형진행구해계산.이평균동능목표함수위례,계산우화종합평형후궤구적파동력화파동력구급궤좌적진동향응.결과표명,우화종합평형후궤구적파동력화파동력구이급궤좌적진동향응균명현강저.인차해방법가유효우화종합평형평면교련오간궤구.
Since the complete shaking force and shaking moment balancing would make the mechanisms more complex and would greatly increase inertia, the optimum balancing model of the planar hinge five-bar linkages was presented on the basis of the three-degree forced vibration model of the frame, with the object functions of average kinetic energy, the average potential energy and the sum of the average kinetic and potential energy. The optimum balancing model was numerically calculated by the method of the convex optimization. Taking the object function of average kinetic energy as an example, the shaking force, shaking moment of the balanced linkages and the vibration response of the frame were calculated respectively. The results show that the shaking force, shaking moment of the balanced linkages and the vibration response of the frame are decreased significantly. So, this method can be efficient to optimally balance the planar hinge five-bar linkages.