Abstract
The free vibration of cantilevered and completely free isosceles triangular plates based on exact three-dimensional elasticity theory is investigated. The actual plate domain is first mapped onto a basic cubic domain. Then the Ritz method is applied to derive the eigenfrequency equation from the strain energy and the kinetic energy of the plate. A set of Chebyshev polynomial series multiplied by a boundary function chosen to satisfy the essential geometry boundary conditions of the plate is developed as the admissible functions of each displacement component. The convergence and comparison studies show that rather accurate results can be obtained by using this approach. The effects of thickness-to-width ratio and apex angle on eigenfrequencies of the plates are studied in detail. Sets of valuable results are presented, which may serve as the benchmark values for future numerical techniques in thick plate vibration analysis. Data for the completely free isosceles triangular plates are presented for the first time.
Sign-in/Register to access full text options 
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.
