Residual Vibration Suppression for Mechanical Systems Based on S-Shaped Curve Trajectory
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摘要: 针对车床进给系统,起重机以及材料搬运系统等广泛应用于各种工业场合的机械系统中所存在的振动问题,提出一种基于S型曲线轨道生成法实现其残留振动的抑制。给出含有振动特性的机械系统的简易动力学模型,基于该模型通过理论分析得到可以抑制残留振动的S型曲线轨道的充分必要条件,数值仿真验证该条件的有效性,将上述条件应用于桥式起重机系统并通过实验结果进一步验证其有效性。该轨道可应用于常用的工业控制器中,从而降低其安装成本。Abstract: Aiming at the vibration problem for mechanical systems such as feed driving system in machine tools, cranes and material handling systems, which are widely used in industrial applications, we propose an S-shaped curve trajectory generation method to achieve residual vibration suppression. A simple dynamic model of a mechanical system including vibration properties is given. The necessary and sufficient conditions for an S-shaped curve trajectory to suppress the residual vibration are analytically obtained, and numerical simulations demonstrate the effectiveness of the proposed conditions. This conditions are applied to an overhead crane system to demonstrate the validity of the conditions by experimental results. The S-shaped trajectory may be applied to conventional industrial controllers to achieve better cost efficiency.
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Key words:
- mechanical system /
- residual vibration suppression /
- S-shaped trajectory
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