The C1 Isogeometric analysis procedure for analysis of free vibration of GPLR-FG-TPMS nanoplates embedded in Pasternak foundation
IGA for analysis of free vibration of GPLR-FG-TPMS nanoplates embedded in Pasternak foundation
Abstract
The main purpose of this study is to extend the isogeometric analysis (IGA) further to investigate the free vibration of graphene platelet (GPL)-reinforced functionally graded triply periodic minimal surface (FG-TPMS) nanoplates (so-called GPLR-FG-TPMS nanoplates) embedded in Pasternak foundation (PF). The computational model includes both nonlocal elasticity and strain gradient effects to account for the impact of small-size effects inherent in nanostructures. To achieve C1-continuity condition, an IGA framework based on HSDT is developed with 7-DOFs per a control point. The motion equation of the nanoplate is derived from Hamilton's principle. The calculation program is coded in Matlab environment and verified through comparative examples. From here, the influence of geometric parameters, material properties, and boundary conditions (BCs) on the frequency of nanoplates is investigated in detail. The results obtained are reference materials for further studies as well as in the calculation and design of GPLR-FG-TPMS structures in practice.
Downloads
Published
Issue
Section
License
Authors who publish with this journal agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License [CC BY] that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).