Abstract
In this present work, the dynamic stiffness method (DSM) is used to analyze the free vibration of a thin functionally graded rectangular plate. Classical plate theory (CPT) is used to develop the dynamic stiffness matrix of a functionally graded material (FGM) plate. For free vibration analysis, the natural frequencies of the functionally graded material plate are estimated by using DSM with Wittrick-Williams algorithm for different aspect ratios and different boundary conditions. The present research compared the DSM natural frequencies results with those available in the published literature.
Highlights
The concept of functionally graded materials was first time introduced by Yamanoushi et al [1] in 1980 during the advancement of thermal resistance material for aerospace engineering applications
Graded materials are known as a new class of composite materials, which is a mixture of ceramics and metal constituents
Chauhan et al [6] used classical plate theory to analyze the free vibration of isotropic plate for different boundaries by using dynamic stiffness method (DSM) Shen and Yang [7] applied Classical plate theory (CPT) to investigate free vibration behavior of initially stressed elastically founded functionally graded material (FGM) plates under impetuous lateral loading
Summary
The concept of functionally graded materials was first time introduced by Yamanoushi et al [1] in 1980 during the advancement of thermal resistance material for aerospace engineering applications. Leissa [2] used the Ritz method to analyze free vibration behaviour of the rectangular isotropic plate under applied twenty-one possible boundary conditions. Chauhan et al [6] used classical plate theory to analyze the free vibration of isotropic plate for different boundaries by using DSM Shen and Yang [7] applied CPT to investigate free vibration behavior of initially stressed elastically founded functionally graded material (FGM) plates under impetuous lateral loading. Baferani et al [8] used Navier and Levy type solution for the free vibration analysis of functionally graded plate under different boundary conditions by using CPT. We have analyzed the free vibration behavior of functionally graded material plates by using dynamic stiffness method with Wittrick-Williams algorithm to extract the natural frequencies under different boundary conditions
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
