{"title":"新型在轨组装大型二维平面相控阵天线的主动振动控制方法","authors":"Chaochen Jin, Xiang Liu, Heng Yu, Guoping Cai, Jun Sun, Dongfang Zhu","doi":"10.1007/s00707-024-04120-9","DOIUrl":null,"url":null,"abstract":"<div><p>Planar phased array antennas have significant applications in fields such as space communication, electronic reconnaissance, navigation, remote sensing and deep space exploration. This study focuses on the active vibration control of a novel on-orbit assembled large-scale two-dimensional planar phased array antenna. The novel structure and assembly method of the antenna are introduced. Using the finite element method, we develop the dynamic model of antenna structure. Due to the low and dense natural frequency characteristics of the structure, the distributed cable actuators are used to suppress the vibration. Considering the unilateral and saturated constraints of the cable force, the control law is designed by combining the linear quadratic regulator with the Bang–Bang regulator. The controllability criterion and particle swarm optimization algorithm are adopted to optimize the actuator distribution. We validate established dynamic model and control method by numerically simulating. The simulation results indicate that the dynamic model can describe the dynamic behavior as accurately as ABAQUS; the controller can effectively suppress the vibration of the antenna structure.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"235 12","pages":"7687 - 7710"},"PeriodicalIF":2.3000,"publicationDate":"2024-10-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Active vibration control method of a novel on-orbit assembled large-scale two-dimensional planar phased array antenna\",\"authors\":\"Chaochen Jin, Xiang Liu, Heng Yu, Guoping Cai, Jun Sun, Dongfang Zhu\",\"doi\":\"10.1007/s00707-024-04120-9\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>Planar phased array antennas have significant applications in fields such as space communication, electronic reconnaissance, navigation, remote sensing and deep space exploration. This study focuses on the active vibration control of a novel on-orbit assembled large-scale two-dimensional planar phased array antenna. The novel structure and assembly method of the antenna are introduced. Using the finite element method, we develop the dynamic model of antenna structure. Due to the low and dense natural frequency characteristics of the structure, the distributed cable actuators are used to suppress the vibration. Considering the unilateral and saturated constraints of the cable force, the control law is designed by combining the linear quadratic regulator with the Bang–Bang regulator. The controllability criterion and particle swarm optimization algorithm are adopted to optimize the actuator distribution. We validate established dynamic model and control method by numerically simulating. The simulation results indicate that the dynamic model can describe the dynamic behavior as accurately as ABAQUS; the controller can effectively suppress the vibration of the antenna structure.</p></div>\",\"PeriodicalId\":456,\"journal\":{\"name\":\"Acta Mechanica\",\"volume\":\"235 12\",\"pages\":\"7687 - 7710\"},\"PeriodicalIF\":2.3000,\"publicationDate\":\"2024-10-17\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Acta Mechanica\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s00707-024-04120-9\",\"RegionNum\":3,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MECHANICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta Mechanica","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1007/s00707-024-04120-9","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MECHANICS","Score":null,"Total":0}
Active vibration control method of a novel on-orbit assembled large-scale two-dimensional planar phased array antenna
Planar phased array antennas have significant applications in fields such as space communication, electronic reconnaissance, navigation, remote sensing and deep space exploration. This study focuses on the active vibration control of a novel on-orbit assembled large-scale two-dimensional planar phased array antenna. The novel structure and assembly method of the antenna are introduced. Using the finite element method, we develop the dynamic model of antenna structure. Due to the low and dense natural frequency characteristics of the structure, the distributed cable actuators are used to suppress the vibration. Considering the unilateral and saturated constraints of the cable force, the control law is designed by combining the linear quadratic regulator with the Bang–Bang regulator. The controllability criterion and particle swarm optimization algorithm are adopted to optimize the actuator distribution. We validate established dynamic model and control method by numerically simulating. The simulation results indicate that the dynamic model can describe the dynamic behavior as accurately as ABAQUS; the controller can effectively suppress the vibration of the antenna structure.
期刊介绍:
Since 1965, the international journal Acta Mechanica has been among the leading journals in the field of theoretical and applied mechanics. In addition to the classical fields such as elasticity, plasticity, vibrations, rigid body dynamics, hydrodynamics, and gasdynamics, it also gives special attention to recently developed areas such as non-Newtonian fluid dynamics, micro/nano mechanics, smart materials and structures, and issues at the interface of mechanics and materials. The journal further publishes papers in such related fields as rheology, thermodynamics, and electromagnetic interactions with fluids and solids. In addition, articles in applied mathematics dealing with significant mechanics problems are also welcome.