M. R. Shahmoradian, A. Salarvand, M. M. Kheirikhah
{"title":"静置于温克勒-帕斯捷尔纳克地基上的功能分级纳米石墨烯复合材料夹层板的自由振动分析","authors":"M. R. Shahmoradian, A. Salarvand, M. M. Kheirikhah","doi":"10.1007/s11029-024-10225-y","DOIUrl":null,"url":null,"abstract":"<p>The free vibrations of graphene-reinforced composite sandwich plates resting on a Winkler-Pasternak foundation were analyzed. The sandwich structure was divided into three layers including two thin facesheets made of a functionally graded graphene-reinforced composite and a thick core from a soft lightweight polymer foam. Five different functionally graded distribution patterns were considered for the facesheets. A refined high order theory was employed for kinematic assumptions. The transverse flexibility of the core and zero transverse shear stress conditions at the lower and upper surfaces of the plate were taken into account. The Hamilton’s principle was used to obtain the equations of motion and the analytical solutions were presented. Effects of the elastic foundation, plate geometry, and the graphene platelets properties on the natural frequencies of the sandwich plate were explored. The accuracy and reliability of the present modeling and results were examined and verified in specific cases. Results showed that reinforcing the facesheets of sandwich plates by graphene platelets increases their natural frequencies.</p>","PeriodicalId":18308,"journal":{"name":"Mechanics of Composite Materials","volume":null,"pages":null},"PeriodicalIF":1.5000,"publicationDate":"2024-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Free Vibration Analysis of Functionally Graded Nano Graphene Composite Sandwich Plates Resting on a Winkler-Pasternak Foundation\",\"authors\":\"M. R. Shahmoradian, A. Salarvand, M. M. Kheirikhah\",\"doi\":\"10.1007/s11029-024-10225-y\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>The free vibrations of graphene-reinforced composite sandwich plates resting on a Winkler-Pasternak foundation were analyzed. The sandwich structure was divided into three layers including two thin facesheets made of a functionally graded graphene-reinforced composite and a thick core from a soft lightweight polymer foam. Five different functionally graded distribution patterns were considered for the facesheets. A refined high order theory was employed for kinematic assumptions. The transverse flexibility of the core and zero transverse shear stress conditions at the lower and upper surfaces of the plate were taken into account. The Hamilton’s principle was used to obtain the equations of motion and the analytical solutions were presented. Effects of the elastic foundation, plate geometry, and the graphene platelets properties on the natural frequencies of the sandwich plate were explored. The accuracy and reliability of the present modeling and results were examined and verified in specific cases. Results showed that reinforcing the facesheets of sandwich plates by graphene platelets increases their natural frequencies.</p>\",\"PeriodicalId\":18308,\"journal\":{\"name\":\"Mechanics of Composite Materials\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.5000,\"publicationDate\":\"2024-08-22\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mechanics of Composite Materials\",\"FirstCategoryId\":\"88\",\"ListUrlMain\":\"https://doi.org/10.1007/s11029-024-10225-y\",\"RegionNum\":4,\"RegionCategory\":\"材料科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATERIALS SCIENCE, COMPOSITES\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mechanics of Composite Materials","FirstCategoryId":"88","ListUrlMain":"https://doi.org/10.1007/s11029-024-10225-y","RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATERIALS SCIENCE, COMPOSITES","Score":null,"Total":0}
Free Vibration Analysis of Functionally Graded Nano Graphene Composite Sandwich Plates Resting on a Winkler-Pasternak Foundation
The free vibrations of graphene-reinforced composite sandwich plates resting on a Winkler-Pasternak foundation were analyzed. The sandwich structure was divided into three layers including two thin facesheets made of a functionally graded graphene-reinforced composite and a thick core from a soft lightweight polymer foam. Five different functionally graded distribution patterns were considered for the facesheets. A refined high order theory was employed for kinematic assumptions. The transverse flexibility of the core and zero transverse shear stress conditions at the lower and upper surfaces of the plate were taken into account. The Hamilton’s principle was used to obtain the equations of motion and the analytical solutions were presented. Effects of the elastic foundation, plate geometry, and the graphene platelets properties on the natural frequencies of the sandwich plate were explored. The accuracy and reliability of the present modeling and results were examined and verified in specific cases. Results showed that reinforcing the facesheets of sandwich plates by graphene platelets increases their natural frequencies.
期刊介绍:
Mechanics of Composite Materials is a peer-reviewed international journal that encourages publication of original experimental and theoretical research on the mechanical properties of composite materials and their constituents including, but not limited to:
damage, failure, fatigue, and long-term strength;
methods of optimum design of materials and structures;
prediction of long-term properties and aging problems;
nondestructive testing;
mechanical aspects of technology;
mechanics of nanocomposites;
mechanics of biocomposites;
composites in aerospace and wind-power engineering;
composites in civil engineering and infrastructure
and other composites applications.