Analysis of the Vibrations of a Damped Visco-Elastic Right Triangle Plate Whose Thickness Varies Linearly in One Direction

Manu Gupta, Prachi

Abstract: A lot of work in vibration analysis involves both fundamental and particular analysis of plates of various forms. Vibration analysis is employed in many industries, including the nuclear energy, construction, automotive, petroleum, and sports sectors. Numerous characteristics, such as non-uniformity, variable thickness, viscoelastic effect, elastic basis, etc., are used in plate analysis. The vibration analysis of a right triangular plate with linearly variable thickness will be covered in this paper. taking into account the damping parameter and the visco-elastic effect. CSS and thickness variations in the x-direction are the problem's boundary conditions. The separation of variables and the Rayleigh Ritz technique have been used to solve the governing differential equation. Using the Gram Schmidt Orthogonalization technique, a two-term deflection function is produced. The logarithmic decrement, time period, frequency parameter, and deflection at various locations of the first two modes of vibration are calculated for a range of values of taper constants, damping parameters, and aspect ratio.

Keywords: Vibration, Rayleigh-Ritz technique, logarithmic decrement, orthogonal functions, Edge conditions

How to Cite?: Manu Gupta, Prachi, "Analysis of the Vibrations of a Damped Visco-Elastic Right Triangle Plate Whose Thickness Varies Linearly in One Direction", Volume 14 Issue 10, October 2025, International Journal of Science and Research (IJSR), Pages: 1630-1635, https://www.ijsr.net/getabstract.php?paperid=SR251028090751, DOI: https://dx.doi.org/10.21275/SR251028090751