Xiangguo Gao , Wei Tian , Zhichun Yang , Ning Chen , Yizhou Shen
{"title":"准零刚度隔振器扭余弦梁的新型设计","authors":"Xiangguo Gao , Wei Tian , Zhichun Yang , Ning Chen , Yizhou Shen","doi":"10.1016/j.ijmecsci.2025.110909","DOIUrl":null,"url":null,"abstract":"<div><div>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.</div></div>","PeriodicalId":56287,"journal":{"name":"International Journal of Mechanical Sciences","volume":"307 ","pages":"Article 110909"},"PeriodicalIF":9.4000,"publicationDate":"2025-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Novel twisted cosine beam design for quasi-zero stiffness vibration isolator\",\"authors\":\"Xiangguo Gao , Wei Tian , Zhichun Yang , Ning Chen , Yizhou Shen\",\"doi\":\"10.1016/j.ijmecsci.2025.110909\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>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.</div></div>\",\"PeriodicalId\":56287,\"journal\":{\"name\":\"International Journal of Mechanical Sciences\",\"volume\":\"307 \",\"pages\":\"Article 110909\"},\"PeriodicalIF\":9.4000,\"publicationDate\":\"2025-10-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Mechanical Sciences\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0020740325009919\",\"RegionNum\":1,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"ENGINEERING, MECHANICAL\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Mechanical Sciences","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0020740325009919","RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, MECHANICAL","Score":null,"Total":0}
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.
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.