This study proposes an algorithm to construct back-and-forth motion profiles to reduce residual vibrations of 1-dof linear oscillatory systems, driven through a transmission chain made up of a 1-dof linkage mechanism. This set can be advantageous for high transmission ratios, when multistage drive trains are discouraged to prevent a build-up of backlash nonlinearities. We assume that the mechanism: i) is moved by a conventional electric actuator and, ii) is working through a dead point configuration. The solution focuses on the continuity degree Cⁿ of the motion profile to guarantee its feasibility by means of the mentioned actuators. We aim to provide an algorithm to design these profiles. The development meshes several conclusions from other studies: the classical strategies of residual vibration reduction together with an analytical solution, with regard to Cⁿ, of the inverse kinematic problem at a dead point configuration. The development includes an analytical approach to some methods of residual vibration reduction, in addition to numerical simulations. Finally, we present experimental results on a slider-crank mechanism test bed, with a pendulum acting as the oscillatory system.

这项研究提出了一种算法，该算法构造来回运动轮廓以减少1-dof线性振动系统的残余振动，该算法通过由1-dof连杆机构组成的传动链来驱动。当不鼓励多级传动系来防止反冲非线性的建立时，该组对于高传动比可能是有利的。我们假设该机构：i）由常规电动执行器移动，ii）通过死点配置工作。该解决方案着重于连续度C ⁿ通过所提及的致动器来保证运动曲线的可行性。我们旨在提供一种算法来设计这些配置文件。该开发从其他研究中得出了一些结论：残余振动的经典降低策略以及在死点配置下反运动问题的C ⁿ解析解。除了数值模拟之外，该开发还包括对某些残余振动减少方法的分析方法。最后，我们在摆锤作为振动系统的滑块曲柄机构试验台上展示了​​实验结果。