Statically Indetermination Analysis of a Toggle Press Based on Kinematic Constraint Equation of Equivalent Mechanism
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摘要: 为提高机构的刚度,在机构内部常会附加一些过约束结构,这些过约束结构在提高机构的刚度的同时会带来其力学分析时的静不定问题。对一种新型结构的肘杆式压力机进行了动态静力学分析,针对分析中存在的静不定问题,将机构分解为静定与静不定两个子机构,并通过将静不定子机构转化为一种等效机构,利用其运动约束方程最终确定出系统的变形协调方程。较之一般求解静不定问题的方法,该方法获得的变形协调方程形式上更加简洁且为线性方程,更加易于求解。Abstract: In order to improve the rigidity of the mechanism,some extra constraint structures are attached in itwhile the statically indeterminate problem may be arised in analyzing the statics of the mechanism at the same time.The dynamic statics of a novel toggle press was analyzed. Aiming at the static indeterminate problem,the mecha-nism was divided into a statically determinate sub-mechanism and a statically indeterminate sub-mechanism,andthe latter was also translated into an equivalent mechanism,by whose kinematic constraint equations,the deforma-tion coordination equation of the system was finally found. Compared with general approaches to solve the staticallyindeterminate problem,the deformation coordination equation obtained by this method has a simpler and linearform,which makes it easier to be solved.
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[1] 范钦珊. 理论力学[M]. 北京:高等教育出版社,2000 [2] Petit T,Poder E. Global propagation of side constraints for solvingover-constrained problems[J]. Annals of Operations Research,2011,184(1):295～314 [3] 安培文,孙红霞,黄茂林. 具有重复结构的平面连杆机构的过约束分析[J]. 机械设计与研究,2004,20(Z1):92～97 [4] 安培文,黄茂林. 平面机构过约束分析方法的综合应用[J]. 重庆大学学报(自然科学版),2002,25(5):21～24 [5] 卢子馨. 平面连杆机构中公共约束数与静不定次数的研究[J].石油大学学报(自然科学版),1994,18(3):77～79 [6] 胡波,路懿,许佳音,于晶晶. 新型过约束并联机构 2RPU +UPU 动力学模型[J]. 机械工程学报,2011,47(11):36～43 [7] Yi L,Yan S,Zhen H,et al. Kinematic/statics of a 4-DOF over-constrained parallel manipulator with 3 legs[J]. Mechanism andMachine Theory,2009,44(8):1497～1506 [8] Yen P L. A two-loop robust controller for compensation of the variantfriction force in an over-constrained parallel kinematic machine[J].International Journal of Machine Tools and Manufacture,2008,48(12-13):1354～1365 [9] 韩先国,陈五一．基于运动约束解过约束并联机构变形协调方程 [J].力学与实践,2005,27(3):65～68 -
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