DYNAMICS OF A VISCOELASTIC COLLISION BETWEEN SMOOTH SURFACES TWO SPHERICAL SOLID BODIES
Journal Title: International Journal of Engineering Sciences & Research Technology - Year 2015, Vol 4, Issue 12
Abstract
The dynamics of a viscoelastic collision between smooth surfaces two spherical solid bodies by the application of the “Method of the specific forces” have been given in the article, and the new conception for the definition of the elastic and the viscous forces in the common case of dynamics of a viscoelastic contact is proposed here by the further development of this method. The forces of viscosity and the forces of elasticity can be found by integration of the specific forces acting inside an elementary volume of the contact zone. Also, the derivation of the integral equations of the viscoelastic forces, the equations for pressure in the contact is presented. Work and Energy in the phases of compression and restitution, and at the rolling shear have been derived. Approximate solutions for the differential equations of movement (displacement) by using the method of equivalent work have been derived. Equations for the normal contact stresses have been obtained. Also, equations for kinematic and dynamic parameters of the viscoelastic collision have been obtained in this article. Examples of the comparison of theoretical results and conclusions have been given in the paper.
Authors and Affiliations
Nikolay Goloshchapov
Keywords
Related Articles
- EP ID EP133119
- DOI -
- Views 67
- Downloads 0
THERMAL ANALYSIS OF EPOXY BASED BIO-COMPOSITES REINFORCED WITH JUTE PREFORMS
Jute is an important natural fibre occupying second place in economic importance only to cotton. More importantly it is a commodity on which many households in the country depend for their cash earnings. However,...
Wideband and Low Power CMOS Analog Multiplier in Deep Submicron Technology
In this paper CMOS Four Quadrant Analog Multiplier is designed. It is based on pair of common source amplifier, which acts as input transistor and two identical voltage controlled square root blocks which operate...
A MODEL FOR DEFINING THE RETAILER’S PROFIT BASED ON LOAD SHIFTING AND TOU PRICING
Deregulation of the electricity market is an important issue in the energy sector. A major aim of deregulation is to increase competition among electricity retailers/suppliers and thereby enrich consumer choic...
Recovering Human Motion Tracking System using Gaussian Process
Estimation of motions and tracking the motions with the help of a motion tracking system has been considered major dilemma due to the availability of various frameworks. In the process of tracking, we need to form a ma...
A Novel Gyro-less Tracking Method for Star Tracker
In this paper a new tracking method is presented, which is one of the most important and useful algorithms in the stat tracker normal mode. the developed algorithm is gyro less algorithm without need to angular sp...