scholarly journals Quasistatic elastic-plastic loading and unloading of rods with coulomb dry friction

2021 ◽  
Vol 264 ◽  
pp. 01040
Author(s):  
Nigora Mamatova
Keyword(s):  
Analytical Solutions ◽  
Dry Friction ◽  
Coulomb Friction ◽  
Nonlinear Interactions ◽  
Exact Analytical Solutions ◽  
Elastic Plastic ◽  
Loading And Unloading ◽  
Coulomb Dry Friction ◽  
Stationary Problems ◽  
Plastic Loading

Loading of elastic-plastic rods with account on Prandtl’s scheme is considered in the paper, and nonlinear interactions are taken into account under the law of Coulomb friction. Exact analytical solutions of quasi-stationary problems of interaction of elastic-plastic rod and undeformable media surrounding it are given.

Analysis of Two-Dimensional Motion Resisted by Coulomb Friction

1963 ◽  
Vol 85 (1) ◽  
pp. 17-26 ◽  
Author(s):  
T. P. Goodman
Keyword(s):  
Experimental Data ◽  
Dimensional Analysis ◽  
Relative Motion ◽  
Dry Friction ◽  
Coulomb Friction ◽  
Two Dimensional ◽  
One Dimensional ◽  
Sliding Motion ◽  
Coulomb Dry Friction ◽  
Unidirectional Motion

The effect of Coulomb (dry) friction between surfaces of adjacent machine members, either in preventing relative sliding motion or in absorbing energy when relative motion does occur, has traditionally been analyzed on a one-dimensional basis. The two-dimensional analysis presented in this paper shows how the effectiveness of Coulomb friction in preventing relative sliding motion is greatly reduced by eccentric loading, and how the effectiveness of Coulomb friction in absorbing the energy of an oscillation may be greatly reduced by the addition of a second oscillatory or unidirectional motion. The results of the analysis are correlated with experimental data.

Two-Frequency Oscillation With Combined Coulomb and Viscous Frictions

2002 ◽  
Vol 124 (4) ◽  
pp. 537-544 ◽  
Author(s):  
Gong Cheng ◽  
Jean W. Zu
Keyword(s):  
Steady State ◽  
Dry Friction ◽  
Single Frequency ◽  
Friction Oscillator ◽  
One Stop ◽  
Frequency Excitation ◽  
Stop Motion ◽  
The One ◽  
Coulomb Dry Friction ◽  
Mass Spring

In this paper, a mass-spring-friction oscillator subjected to two harmonic disturbing forces with different frequencies is studied for the first time. The friction in the system has combined Coulomb dry friction and viscous damping. Two kinds of steady-state vibrations of the system—non-stop and one-stop motions—are considered. The existence conditions for each steady-state motion are provided. Using analytical analysis, the steady-state responses are derived for the two-frequency oscillating system undergoing both the non-stop and one-stop motions. The focus of the paper is to study the influence of the Coulomb dry friction in combination with the two frequency excitations on the dynamic behavior of the system. From the numerical simulations, it is found that near the resonance, the dynamic response due to the two-frequency excitation demonstrates characteristics significantly different from those due to a single frequency excitation. Furthermore, the one-stop motion demonstrates peculiar characteristics, different from those in the non-stop motion.

A New Method to Find the Forced Response of Nonlinear Systems with Dry Friction

2021 ◽  
Author(s):  
Gregory L. Altamirano ◽  
Meng-Hsuan Tien ◽  
Kiran D'Souza
Keyword(s):  
Dry Friction ◽  
Coulomb Friction ◽  
Nonlinear Response ◽  
Piecewise Linear ◽  
Time Integration ◽  
Nonlinear Behavior ◽  
Forced Response ◽  
New Method ◽  
Analysis Tools ◽  
Compatibility Constraint

Abstract Coulomb friction has an influence on the behavior of numerous mechanical systems. Coulomb friction systems or dry friction systems are nonlinear in nature. This nonlinear behavior requires complex and time demanding analysis tools to capture the dynamics of these systems. Recently, efforts have been made to develop efficient analysis tools able to approximate the forced response of systems with dry friction. The objective of this paper is to introduce a methodology that assists in these efforts. In this method, the piecewise-linear nonlinear response is separated into individual linear responses that are coupled together through compatibility constraint equations. The new method is demonstrated on a number of systems of varying complexity. The results obtained by the new method are validated through the comparison with results obtained by time integration. The computational savings of the new method is also discussed.

Prediction of Brittle Fracture Under Generalised Elastic Plastic Loading

2008 ◽  
Author(s):  
S. J. Lewis ◽  
C. E. Truman ◽  
D. J. Smith
Keyword(s):  
Fracture Mechanics ◽  
Brittle Fracture ◽  
Ferritic Steel ◽  
Failure Prediction ◽  
J Integral ◽  
Local Approach ◽  
Elastic Plastic ◽  
Failure Data ◽  
Stress States ◽  
Plastic Loading

This article describes an investigation into the ability of a number of different fracture mechanics approaches to predict failure by brittle fracture under general elastic/plastic loading. Data obtained from C(T) specimens of A508 ferritic steel subjected to warm pre-stressing and side punching were chosen as such prior loadings produce considerably non-proportionality in the resulting stress states. In addition, failure data from a number of round notched bar specimens of A508 steel were considered for failure with and without prior loading. Failure prediction, based on calibration to specimens in the as received state, was undertaken using two methods based on the J integral and two based on local approach methodologies.

Sign in / Sign up

Export Citation Format

Share Document