A Study on Free Vibration of Visco-elastic Tapered Plate with Clamped Ends
Journal Title: Romanian Journal of Acoustics and Vibration - Year 2015, Vol 12, Issue 1
Abstract
A mathematical analysis is presented here to analyze the free vibration of visco-elastic isotropic rectangular plate. The main objectives of the study are to assist engineers and scientists in designing of structures which are mostly used building, bridges, satellites etc. Authors studied the vibrational behavior of isotropic rectangular plate with two dimensional thickness and temperature variations. It is assumed that temperature varies bi-parabolic i.e. parabolic in x-direction & parabolic in y direction and thickness is considered to vary linearly in both x & y direction. Fourth order differential equation of motion is solved by Rayleigh-Ritz method for clamped boundary condition. Time period, deflection and logarithmic decrement for first two modes of vibration at various values of thermal gradient, taper constants and aspect ratio are calculated. All the numeric results are carried out for an alloy of Aluminium, ‘Duralumin’. The results are presented in tabular form.
Authors and Affiliations
Anupam KHANNA, Ashish SINGHAL
Keywords
Related Articles
- EP ID EP164105
- DOI -
- Views 82
- Downloads 0
Effect of Impact Mass on Tool Vibration and Cutting Performance During Turning of Hardened AISI4340 Steel
A major apprehension in manufacturing industry is the tool vibration, which has considerable influence on productivity and production costs. The present investigation aims at developing impact mass for suppressing tool v...
On Modelling of Bucket Oscillations for a Wheel Loader
In this paper bucket oscillations of the wheel loader was studied for two working cases: to slow lowering motion of the boom with full bucket and, respectively, to travelling on the uneven road. Estimation of the overloa...
DYNAMIC UNCERTAINTY AND INSTABILITY STATE – RESONANCE
The resonance state is present in all the dynamic processes of material systems that are characterized by mass and elasticity, when significant external excitations are present. Depending on the type of systems, starting...
Behaviour Response of Earthmoving Machine in a Loading Process
This paper present a conclusive remarks about the dynamic analysis and simulations, regarding the behaviour of an earthmoving machine in direct evolution under the basic technological process. Thus, one of the major phen...
Velocity reconstruction in weakly laterally inhomogeneous medium
The case of a wave propagation generated by a boundary source into a weakly laterally inhomogeneous medium occupying a half-space is one of the important actually seismic problems. In this paper I study the problem of th...