可调承载仿生肢体准零刚度隔振器建模与仿真分析
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武汉理工大学

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国家自然科学基金项目(面上项目,重点项目,重大项目);中央高校基本科研业务费专项资金资助(104972024RSCbs0034);


Modeling and simulation analysis of an adjustable load-bearing bionic limb with quasi-zero stiffness vibration isolator
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The National Natural Science Foundation of China (General Program, Key Program, Major Research Plan);supported by“the Fundamental Research Funds for the Central Universities(WUT:104972024JYS0056);

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    摘要:

    鸵鸟行走或奔跑在崎岖路面上仍能保持身体稳定性,其肢体起到了承载和减振的作用,受此生物学原理的启发,本文结合音圈电机,设计了一种可调承载仿生肢体准零刚度隔振器。首先,对结构进行静力学分析,揭示不同参数对结构承载力和准零刚度范围的影响规律。其次,考虑滑动副的动能及旋转阻尼,基于拉格朗日原理,建立系统的动力学方程,采用谐波平衡法,求解分析不同参数下系统的位移传递率和偏移量。最后,分别利用龙格库塔法和ADAMS仿真验证了谐波平衡法求解及所建立动力学方程的准确性,并进行了相应的隔振性能仿真验证。研究结果表明,当负载发生变化时,通过调节音圈电机主动力,系统工作区间持续保持在准零刚度范围内,从而有效提升系统的低频隔振性能;进一步分析发现,系统的偏移量对滑动副的质量高度敏感,考虑滑动副的质量会使偏移曲线出现零偏移点。该研究结果可为仿生肢体准零刚度隔振器在超低频减振应用以及载荷失配情况下的优化设计提供指导。

    Abstract:

    Inspired by the biological principle that ostriches can maintain body stability while walking or running on rough terrain, with their limbs playing a role in both load-bearing and vibration reduction, this paper presents a design for a tunable load-bearing bionic limb quasi-zero stiffness isolator, in conjunction with a voice coil motor. Firstly, a static analysis of the structure is conducted to reveal the influence of various parameters on the load-bearing capacity and the range of quasi-zero stiffness. Secondly, considering the kinetic energy and rotational damping of the sliding pair, the system's dynamic equation is established based on Lagrange’s principle. The harmonic balance method is employed to solve and analyze the system's displacement transmission ratio and offset under different parameter conditions. Finally, the accuracy of the dynamic equation and the harmonic balance method is verified through simulations using the Runge-Kutta method and ADAMS, with corresponding vibration isolation performance simulations conducted. The results show that when the load changes, the system's low-frequency vibration isolation performance is effectively enhanced by adjusting the main force of the voice coil motor, keeping the system operating within the quasi-zero stiffness range. Further analysis reveals that the system's offset is highly sensitive to the mass of the sliding pair, and considering the mass of the sliding pair causes the offset curve to have a zero-offset point. These findings provide valuable guidance for the optimal design of bionic limb quasi-zero stiffness isolators in ultra-low-frequency vibration reduction applications and under load mismatch conditions.

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  • 收稿日期:2024-10-21
  • 最后修改日期:2025-01-07
  • 录用日期:2025-01-07
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