A new technique of partially integrating some non-linear vibration equations

1982 ◽  
Vol 85 (1) ◽  
pp. 141-142
Author(s):  
P.N. Singh ◽  
A.R. Shouman ◽  
S.M.J. Ali
2017 ◽  
Vol 19 (42) ◽  
pp. 28820-28823 ◽  
Author(s):  
Enno Kätelhön ◽  
Richard G. Compton

The equilibrium voltammetry of surface-bound analytes is investigated and a new technique to measure formal potentials introduced.


2012 ◽  
Vol 430-432 ◽  
pp. 2050-2053
Author(s):  
Meng Li

Fractal, as a new technique of signal processing, is suitable for analyzing the non-linear fault signals of rotating machine. By researching the characteristic of non-linear vibration signals of rolling bearings, a study of box dimension in analyzing the vibration signals and diagnosing the fault pattern of rolling bearings is proposed. Box dimension algorithm is presented in details and quantificational calculating of non-linear vibration signals generated by bearing system is also discussed. Experimental results show that kinematics mechanisms of rolling bearing result in the different working state, so the box dimensions are different evidently. The application of box dimension in monitoring working state is a new approach to promote the accuracy of rolling bearings.


2015 ◽  
Vol 32 (5) ◽  
pp. 1391-1431 ◽  
Author(s):  
Amir R. Khoei ◽  
R. Yasbolaghi ◽  
S.O.R. Biabanaki

Purpose – In this paper, the polygonal-FEM technique is presented in modeling large deformation – large sliding contact on non-conformal meshes. The purpose of this paper is to present a new technique in modeling arbitrary interfaces and discontinuities for non-linear contact problems by capturing discontinuous deformations in elements cut by the contact surface in uniform non-conformal meshes. Design/methodology/approach – The geometry of contact surface is used to produce various polygonal elements at the intersection of the interface with the regular FE mesh, in which the extra degrees-of-freedom are defined along the interface. The contact constraints are imposed between polygonal elements produced along the contact surface through the node-to-surface contact algorithm. Findings – Numerical convergence analysis is carried out to study the convergence rate for various polygonal interpolation functions, including the Wachspress interpolation functions, the metric shape functions, the natural neighbor-based shape functions, and the mean value shape functions. Finally, numerical examples are solved to demonstrate the efficiency of proposed technique in modeling contact problems in large deformations. Originality/value – A new technique is presented based on the polygonal-FEM technique in modeling arbitrary interfaces and discontinuities for non-linear contact problems by capturing discontinuous deformations in elements cut by the contact surface in uniform non-conformal meshes.


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