Qingye Meng , Lei Hou , Rongzhou Lin , Yushu Chen , Nasser A Saeed , Ahmed Fouly , E.M. Awwad
{"title":"具有多个零刚度点的准零刚度隔振器的质量载荷偏差","authors":"Qingye Meng , Lei Hou , Rongzhou Lin , Yushu Chen , Nasser A Saeed , Ahmed Fouly , E.M. Awwad","doi":"10.1016/j.apm.2025.116112","DOIUrl":null,"url":null,"abstract":"<div><div>This paper proposes a quasi-zero stiffness (QZS) isolator with three zero stiffness (ZS) points to cope effectively with mass load deviations. Most of the existing QZS vibration isolators are designed for a single mass. The vibration isolation performance of the isolator is significantly affected when the mass load deviates after the structure has been determined. The isolators designed in this paper have multiple ZS points, thereby enlarging the QZS interval while effectively reducing the sensitivity to mass changes. The dynamic equations of the system are constructed based on the Lagrange equation, and the influence of the parameters on the stiffness characteristics is analyzed thoroughly. The modified incremental harmonic balance method (IHB) is applied to analyze the dynamic characteristics of the vibration isolator, and the effects of different masses, different stiffness characteristics, and mass variation under fixed excitation on the vibration isolation performance are discussed separately. The presence of stiffness-softening intervals effectively suppresses the impact of stiffness-hardening on vibration isolation performance. The QZS isolator can effectively solve the problem of deviation of the isolated mass when the system stiffness fluctuation is small. The same isolator can simultaneously satisfy the vibration isolation requirements of three different masses when stiffness fluctuations are large. The results of this paper provide a research idea for overcoming the shortcomings of QZS vibration isolators, which are sensitive to mass changes, and for realizing effective vibration isolation for multiple masses.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"145 ","pages":"Article 116112"},"PeriodicalIF":4.4000,"publicationDate":"2025-03-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On a quasi-zero stiffness vibration isolator with multiple zero stiffness points for mass load deviation\",\"authors\":\"Qingye Meng , Lei Hou , Rongzhou Lin , Yushu Chen , Nasser A Saeed , Ahmed Fouly , E.M. Awwad\",\"doi\":\"10.1016/j.apm.2025.116112\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>This paper proposes a quasi-zero stiffness (QZS) isolator with three zero stiffness (ZS) points to cope effectively with mass load deviations. Most of the existing QZS vibration isolators are designed for a single mass. The vibration isolation performance of the isolator is significantly affected when the mass load deviates after the structure has been determined. The isolators designed in this paper have multiple ZS points, thereby enlarging the QZS interval while effectively reducing the sensitivity to mass changes. The dynamic equations of the system are constructed based on the Lagrange equation, and the influence of the parameters on the stiffness characteristics is analyzed thoroughly. The modified incremental harmonic balance method (IHB) is applied to analyze the dynamic characteristics of the vibration isolator, and the effects of different masses, different stiffness characteristics, and mass variation under fixed excitation on the vibration isolation performance are discussed separately. The presence of stiffness-softening intervals effectively suppresses the impact of stiffness-hardening on vibration isolation performance. The QZS isolator can effectively solve the problem of deviation of the isolated mass when the system stiffness fluctuation is small. The same isolator can simultaneously satisfy the vibration isolation requirements of three different masses when stiffness fluctuations are large. The results of this paper provide a research idea for overcoming the shortcomings of QZS vibration isolators, which are sensitive to mass changes, and for realizing effective vibration isolation for multiple masses.</div></div>\",\"PeriodicalId\":50980,\"journal\":{\"name\":\"Applied Mathematical Modelling\",\"volume\":\"145 \",\"pages\":\"Article 116112\"},\"PeriodicalIF\":4.4000,\"publicationDate\":\"2025-03-21\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Applied Mathematical Modelling\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0307904X25001878\",\"RegionNum\":2,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"ENGINEERING, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applied Mathematical Modelling","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0307904X25001878","RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, MULTIDISCIPLINARY","Score":null,"Total":0}
On a quasi-zero stiffness vibration isolator with multiple zero stiffness points for mass load deviation
This paper proposes a quasi-zero stiffness (QZS) isolator with three zero stiffness (ZS) points to cope effectively with mass load deviations. Most of the existing QZS vibration isolators are designed for a single mass. The vibration isolation performance of the isolator is significantly affected when the mass load deviates after the structure has been determined. The isolators designed in this paper have multiple ZS points, thereby enlarging the QZS interval while effectively reducing the sensitivity to mass changes. The dynamic equations of the system are constructed based on the Lagrange equation, and the influence of the parameters on the stiffness characteristics is analyzed thoroughly. The modified incremental harmonic balance method (IHB) is applied to analyze the dynamic characteristics of the vibration isolator, and the effects of different masses, different stiffness characteristics, and mass variation under fixed excitation on the vibration isolation performance are discussed separately. The presence of stiffness-softening intervals effectively suppresses the impact of stiffness-hardening on vibration isolation performance. The QZS isolator can effectively solve the problem of deviation of the isolated mass when the system stiffness fluctuation is small. The same isolator can simultaneously satisfy the vibration isolation requirements of three different masses when stiffness fluctuations are large. The results of this paper provide a research idea for overcoming the shortcomings of QZS vibration isolators, which are sensitive to mass changes, and for realizing effective vibration isolation for multiple masses.
期刊介绍:
Applied Mathematical Modelling focuses on research related to the mathematical modelling of engineering and environmental processes, manufacturing, and industrial systems. A significant emerging area of research activity involves multiphysics processes, and contributions in this area are particularly encouraged.
This influential publication covers a wide spectrum of subjects including heat transfer, fluid mechanics, CFD, and transport phenomena; solid mechanics and mechanics of metals; electromagnets and MHD; reliability modelling and system optimization; finite volume, finite element, and boundary element procedures; modelling of inventory, industrial, manufacturing and logistics systems for viable decision making; civil engineering systems and structures; mineral and energy resources; relevant software engineering issues associated with CAD and CAE; and materials and metallurgical engineering.
Applied Mathematical Modelling is primarily interested in papers developing increased insights into real-world problems through novel mathematical modelling, novel applications or a combination of these. Papers employing existing numerical techniques must demonstrate sufficient novelty in the solution of practical problems. Papers on fuzzy logic in decision-making or purely financial mathematics are normally not considered. Research on fractional differential equations, bifurcation, and numerical methods needs to include practical examples. Population dynamics must solve realistic scenarios. Papers in the area of logistics and business modelling should demonstrate meaningful managerial insight. Submissions with no real-world application will not be considered.