{"title":"运动质量作用下功能分级多孔(FGP)夹层板的振动和稳定性","authors":"Dongdong Li, Dekang Kong, Ti Chen","doi":"10.1007/s00707-024-04108-5","DOIUrl":null,"url":null,"abstract":"<div><p>The vibration response and stability of functionally graded porous (FGP) sandwich plates under moving mass are explored. The self-weight of the FGP sandwich plate is taken into account in this study. A four-variable equivalent-single-layer (ESL) plate theory is applied to this problem. Three different forms of porous cores are considered: symmetric porosity distribution (SPD), asymmetric porosity distribution (APD) and uniform porosity distribution (UPD). The governing equations of motion are derived based on Hamilton’s principle and then solved by using the eigenfunction expansion method in combination with the differential quadrature method (DQM). The stability analysis is conducted using the complex eigenvalue method. Convergence study and verification study are performed to show the reliability and accuracy of the proposed method. The effects of some key parameters such as moving mass’s weight and velocity, porosity coefficient, porosity distribution pattern, etc. on the vibration response and stability of the FGP sandwich plates are investigated.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"235 12","pages":"7531 - 7551"},"PeriodicalIF":2.3000,"publicationDate":"2024-10-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Vibration and stability of functionally graded porous (FGP) sandwich plates under moving mass\",\"authors\":\"Dongdong Li, Dekang Kong, Ti Chen\",\"doi\":\"10.1007/s00707-024-04108-5\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>The vibration response and stability of functionally graded porous (FGP) sandwich plates under moving mass are explored. The self-weight of the FGP sandwich plate is taken into account in this study. A four-variable equivalent-single-layer (ESL) plate theory is applied to this problem. Three different forms of porous cores are considered: symmetric porosity distribution (SPD), asymmetric porosity distribution (APD) and uniform porosity distribution (UPD). The governing equations of motion are derived based on Hamilton’s principle and then solved by using the eigenfunction expansion method in combination with the differential quadrature method (DQM). The stability analysis is conducted using the complex eigenvalue method. Convergence study and verification study are performed to show the reliability and accuracy of the proposed method. The effects of some key parameters such as moving mass’s weight and velocity, porosity coefficient, porosity distribution pattern, etc. on the vibration response and stability of the FGP sandwich plates are investigated.</p></div>\",\"PeriodicalId\":456,\"journal\":{\"name\":\"Acta Mechanica\",\"volume\":\"235 12\",\"pages\":\"7531 - 7551\"},\"PeriodicalIF\":2.3000,\"publicationDate\":\"2024-10-04\",\"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/s00707-024-04108-5\",\"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/s00707-024-04108-5","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MECHANICS","Score":null,"Total":0}
Vibration and stability of functionally graded porous (FGP) sandwich plates under moving mass
The vibration response and stability of functionally graded porous (FGP) sandwich plates under moving mass are explored. The self-weight of the FGP sandwich plate is taken into account in this study. A four-variable equivalent-single-layer (ESL) plate theory is applied to this problem. Three different forms of porous cores are considered: symmetric porosity distribution (SPD), asymmetric porosity distribution (APD) and uniform porosity distribution (UPD). The governing equations of motion are derived based on Hamilton’s principle and then solved by using the eigenfunction expansion method in combination with the differential quadrature method (DQM). The stability analysis is conducted using the complex eigenvalue method. Convergence study and verification study are performed to show the reliability and accuracy of the proposed method. The effects of some key parameters such as moving mass’s weight and velocity, porosity coefficient, porosity distribution pattern, etc. on the vibration response and stability of the FGP sandwich plates are investigated.
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.