Show/Hide Menu
Hide/Show Apps
Logout
Türkçe
Türkçe
Search
Search
Login
Login
OpenMETU
OpenMETU
About
About
Open Science Policy
Open Science Policy
Open Access Guideline
Open Access Guideline
Postgraduate Thesis Guideline
Postgraduate Thesis Guideline
Communities & Collections
Communities & Collections
Help
Help
Frequently Asked Questions
Frequently Asked Questions
Guides
Guides
Thesis submission
Thesis submission
MS without thesis term project submission
MS without thesis term project submission
Publication submission with DOI
Publication submission with DOI
Publication submission
Publication submission
Supporting Information
Supporting Information
General Information
General Information
Copyright, Embargo and License
Copyright, Embargo and License
Contact us
Contact us
A microslip friction model with normal load variation induced by normal motion
Date
2007-11-01
Author
Ciğeroğlu, Ender
Menq, Chia-Hsiang
Metadata
Show full item record
This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
.
Item Usage Stats
220
views
0
downloads
Cite This
A two-dimensional microslip friction model with normal load variation induced by normal motion is presented in this paper. The model is a distributed parameter model, which characterizes the stick-slip-separation of the contact interface and determines the resulting friction force, including its time variance and spatial distribution, between two elastic structures. When the relative motion is simple harmonic motion, the stick-slip-separation transition angles associated with any point in the contact area can be analytically determined within a cycle of motion. In addition, if the relative motion is given, stick-slip-separation transition boundaries inside the contact area and their time variances can be determined. Along with an iterative multi-mode solution approach utilizing harmonic balance method (HBM), the developed model can be employed to determine the forced response of frictionally constrained structures. In the approach, the forced response is constructed in terms of the free mode shapes of the structure; consequently, it can be determined at any excitation frequency and for any type of normal load distribution. Two examples, a one-dimensional beam like damper and a more realistic blade to ground damper, are employed to illustrate the predictive abilities of the developed model. It is shown that while employing a single mode model, transition boundaries for the beam like damper agrees with the results given in the literature, the developed method identifies the phase difference along the slip to stick transition boundary when a multi-mode model is employed. Moreover, while partial slip is illustrated in the two examples, typical softening and hardening effects, due to separation of the contact surface, are also predicted for the blade to ground damper.
Subject Keywords
Bladed disks
,
Friction damping
,
Friction model
,
Microslip
,
Nonlinear vibration
,
Normal load variation
,
Transition angles
,
Turbomachinery
URI
https://hdl.handle.net/11511/37813
Journal
NONLINEAR DYNAMICS
DOI
https://doi.org/10.1007/s11071-006-9171-4
Collections
Department of Mechanical Engineering, Article
Suggestions
OpenMETU
Core
One-dimensional dynamic microslip friction model
Ciğeroğlu, Ender; Menq, Ch (Elsevier BV, 2006-05-09)
A one-dimensional dynamic microslip friction model, including the damper inertia, is presented in this paper. An analytical approach is developed to obtain the steady-state solution of the resulting nonlinear partial differential equations when subjected to harmonic excitation. In the proposed approach, according to the excitation frequency, a single mode of the system is considered in the steady-state solution for simplicity; consequently, phase difference among spatially distributed points is neglected. T...
A Mechanistic Model for Predicting Frictional Pressure Losses for Newtonian Fluids in Concentric Annulus
SORGUN, MEHMET; Ozbayoglu, M. E. (Informa UK Limited, 2010-01-01)
A mathematical model is introduced estimating the frictional pressure losses of Newtonian fluids flowing through a concentric annulus. A computer code is developed for the proposed model. Also, extensive experiments with water have been conducted at Middle East Technical University, Petroleum and Natural Gas Engineering Department Flow Loop and recorded pressure drop within the test section for various flow rates. The performance of the proposed model is compared with computational fluid dynamics (CFD) soft...
A non-linear mathematical model for dynamic analysis of spur gears including shaft and bearing dynamics
Özgüven, Hasan Nevzat (Elsevier BV, 1991-3)
A six-degree-of-freedom non-linear semi-definite model with time varying mesh stiffness has been developed for the dynamic analysis of spur gears. The model includes a spur gear pair, two shafts, two inertias representing load and prime mover, and bearings. As the shaft and bearing dynamics have also been considered in the model, the effect of lateral-torsional vibration coupling on the dynamics of gears can be studied. In the non-linear model developed several factors such as time varying mesh stiffness an...
A weak-form spectral Chebyshev technique for nonlinear vibrations of rotating functionally graded beams
Lotfan, Saeed; Dedekoy, Demir; Bediz, Bekir; Ciğeroğlu, Ender (2023-02-01)
This study presents the spectral Chebyshev technique (SCT) for nonlinear vibrations of rotating beams based on a weak formulation. In addition to providing a fast-converging and precise solution for linear vibrations of structures with complex geometry, material, and physics, this method is further advanced to be able to analyze the nonlinear vibration behavior of continuous systems. Rotational motion and material gradation further complicate this nonlinear behavior. Accordingly, the beam is considered to b...
An advanced boundary element method (BEM) implementation for the forward problem of electromagnetic source imaging
Akahn-Acar, Z; Gençer, Nevzat Güneri (IOP Publishing, 2004-11-07)
The forward problem of electromagnetic source imaging has two components: a numerical model to solve the related integral equations and a model of the head geometry. This study is on the boundary element method (BEM) implementation for numerical solutions and realistic head modelling. The use of second-order (quadratic) isoparametric elements and the recursive integration technique increase the accuracy in the solutions. Two new formulations are developed for the calculation of the transfer matrices to obta...
Citation Formats
IEEE
ACM
APA
CHICAGO
MLA
BibTeX
E. Ciğeroğlu and C.-H. Menq, “A microslip friction model with normal load variation induced by normal motion,”
NONLINEAR DYNAMICS
, pp. 609–626, 2007, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/37813.