准零刚度隔振器扭余弦梁的新型设计

IF 9.4 1区 工程技术 Q1 ENGINEERING, MECHANICAL
Xiangguo Gao , Wei Tian , Zhichun Yang , Ning Chen , Yizhou Shen
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引用次数: 0

摘要

传统的准零刚度(QZS)隔振器通常采用正刚度和负刚度单元构建,通常涉及相对复杂的结构参数设计。余弦光束为实现QZS提供了更紧凑的配置,但其性能受到顶点高度与厚度比的限制。本研究提出一种新的扭曲余弦梁(TCB)结构,旨在克服传统余弦梁顶点高厚比的限制,以实现QZS。采用基于链梁约束模型的理论框架推导了TCB的静态特性,并通过数值模拟和实验对其进行了验证。确定了TCB的宽度和扭转角是实现QZS刚度调整的关键参数。梁长主要决定QZS范围和承载能力。在此基础上,设计了单层和双层隔振器,并用谐波平衡法结合数值模拟分析了它们的动态响应。特别注意分数导数(FD)阻尼的作用,这是由热塑性聚氨酯的固有特性引起的。对于单层隔离器,减小FD阻尼首先引起初始隔离频率的轻微降低,然后显著增加。此外,当分数阶从1降低到0.2时,初始隔离频率增加了约65%。对于每层结构参数不同的双层隔离器,低层QZS配置在低频时效果更好,而上层QZS配置在高频时效果更好。实验评估进一步证实,将支撑质量定位在QZS位置可以使初始隔离频率最小化,从而提高隔离效率。因此,本研究提供了一种紧凑和通用的方法来设计QZS隔振器,在参数调整方面提供了更大的灵活性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Novel twisted cosine beam design for quasi-zero stiffness vibration isolator
Conventional quasi-zero stiffness (QZS) vibration isolators, typically constructed using positive and negative stiffness elements, often involve relatively complex structural parameter designs. Cosine beams provide a more compact configuration for achieving QZS, but their performance is constrained by the apex height-to-thickness ratio. This study proposes a novel twisted cosine beam (TCB) structure, aiming to overcome the limitation of the apex height-to-thickness ratio of conventional cosine beams to achieve QZS. Static characteristics of the TCB are derived using a theoretical framework based on a chained-beam constraint model and validated through numerical simulations and experiments. The width and twisting angle of the TCB are identified as critical parameters for stiffness tuning to achieve QZS. The beam length primarily governs the QZS range and load-bearing capacity. Based on these principles, both single-layer and double-layer isolators are designed, and their dynamic responses are analysed using a harmonic balance method in combination with numerical simulations. Particular attention is given to the role of fractional derivative (FD) damping, which arises from the intrinsic properties of thermoplastic polyurethane. For the single-layer isolator, reducing the FD damping first induces a slight decrease in the initial isolation frequency, followed by a pronounced increase. Moreover, as the fractional order decreases from 1 to 0.2, the initial isolation frequency increases by approximately 65 %. For the double-layer isolator with distinct structural parameters in each layer, the lower-layer QZS configuration performs better at low frequencies, whereas the upper-layer configuration is more effective at high frequencies. Experimental evaluations further confirm that positioning the supported mass at the QZS location minimises the initial isolation frequency, thereby enhancing isolation efficiency. Thus, this study offers a compact and versatile approach to designing QZS vibration isolators, providing enhanced flexibility in parameter tuning.
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来源期刊
International Journal of Mechanical Sciences
International Journal of Mechanical Sciences 工程技术-工程:机械
CiteScore
12.80
自引率
17.80%
发文量
769
审稿时长
19 days
期刊介绍: The International Journal of Mechanical Sciences (IJMS) serves as a global platform for the publication and dissemination of original research that contributes to a deeper scientific understanding of the fundamental disciplines within mechanical, civil, and material engineering. The primary focus of IJMS is to showcase innovative and ground-breaking work that utilizes analytical and computational modeling techniques, such as Finite Element Method (FEM), Boundary Element Method (BEM), and mesh-free methods, among others. These modeling methods are applied to diverse fields including rigid-body mechanics (e.g., dynamics, vibration, stability), structural mechanics, metal forming, advanced materials (e.g., metals, composites, cellular, smart) behavior and applications, impact mechanics, strain localization, and other nonlinear effects (e.g., large deflections, plasticity, fracture). Additionally, IJMS covers the realms of fluid mechanics (both external and internal flows), tribology, thermodynamics, and materials processing. These subjects collectively form the core of the journal's content. In summary, IJMS provides a prestigious platform for researchers to present their original contributions, shedding light on analytical and computational modeling methods in various areas of mechanical engineering, as well as exploring the behavior and application of advanced materials, fluid mechanics, thermodynamics, and materials processing.
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