FREE VIBRATION RESPONSES OF TEMPERATURE DEPENDENT FUNCTIONALLY GRADED CURVED PANELS UNDER THERMAL ENVIRONMENT
Keywords:FUNCTIONALLY GRADED MATERIALS, FREE VIBRATION, HSDT, TEMPERATURE FIELD.
AbstractFREE VIBRATION RESPONSES OF SHEAR DEFORMABLE FUNCTIONALLY GRADED SINGLE/DOUBLY CURVED PANELS UNDER UNIFORM, LINEAR AND NONLINEAR TEMPERATURE FIELDS ARE INVESTIGATED IN THIS ARTICLE. THE MICRO-MECHANICAL MATERIAL MODEL OF FUNCTIONALLY GRADED MATERIAL IS OBTAINED USING VOIGT MODEL IN CONJUNCTION WITH POWER-LAW DISTRIBUTION FOR CONTINUOUS GRADATION. THE MATERIAL PROPERTIES ARE ASSUMED TO BE TEMPERATURE DEPENDENT. THE MID-PLANE KINEMATICS OF PANEL GEOME-TRY IS GOVERNED BY THE HIGHER ORDER SHEAR DEFORMATION THEORY WITH NINE DEGREES-OF-FREEDOM. THE GOVERNING EQUATION OF VIBRATED PANEL IS OBTAINED USING HAMILTONÂS PRINCIPLE. FINITE ELEMENT SOLUTIONS ARE OBTAINED USING A NINE NODE QUADRILATERAL LAGRANGIAN ELEMENT. THE APPLICABILITY OF THE PROPOSED MODEL HAS BEEN EXTENDED THROUGH NUMERICAL EXPERIMENTATION FOR DIFFERENT MATERIAL AND GEOMETRICAL PARAMETERS AND TEMPERATURE FIELDS.
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).