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作者机构:Katholieke Univ Leuven Dept Mech Engn B-3001 Heverlee Belgium
出 版 物:《JOURNAL OF MECHANICAL DESIGN》 (美国机械工程师学会汇刊: 机械设计杂志)
年 卷 期:2006年第128卷第6期
页 面:1272-1284页
核心收录:
主 题:driving torque convex programming local optimum Convexity Convex function design process virtues Vibration bar linkage Nonlinear systems graphically ultimate limits
摘 要:This paper focuses on reducing the dynamic reactions (shaking force, shaking moment, and driving torque) of planar crank-rocker four-bars through counterweight addition. Determining the counterweight mass parameters constitutes a nonlinear optimization problem, which suffers from local optima. This paper however proves that it can be reformulated as a convex program, that is, a nonlinear optimization problem of which any local optimum is also globally optimal. Because of this unique property, it is possible to investigate (and by virtue of the guaranteed global optimum, in fact prove) the ultimate limits of counterweight balancing. In a first example a design procedure is presented that is based on graphically representing the ultimate limits in design charts. A second example illustrates the versatility and power of the convex optimization framework by reformulating an earlier counterweight balancing method as a convex program and providing improved numerical results for it.