Non-linear dynamic modelling of a switching valve driven by pulse width modulation in the hydraulic braking system of a vehicle

2016 ◽  
Vol 231 (11) ◽  
pp. 1511-1529
Author(s):  
Xiang Gao ◽  
Yiyong Yang ◽  
Xun Zhao ◽  
Chenfeng Li
Keyword(s):  
Fluid Dynamics ◽  
Dynamic Modelling ◽  
Stability Control ◽  
Dynamics Model ◽  
Predictive Tool ◽  
Element Analysis ◽  
Linear Dynamics ◽  
Switching Valve ◽  
Fast Switching ◽  
Non Linear

Fast-switching valves driven by puse width modulation have been widely used in the hydraulic braking systems (such as anti-lock braking systems or electric stability control systems) of vehicles, because of their lower cost and their functions which are similar to those of proportional valves. However, proportional valves have been widely investigated, whereas there is significantly less literature on the switching valves of the hydraulic control units in the braking systems of vehicles. In order to investigate the controllability of pressure, construction of an accurate theoretical model is the key to attaining this. Based on theoretical analysis and finite element analysis, this paper presents a non-linear dynamics model of a typical fast-switching valve. The non-linear model is composed of three submodels: a mechanical submodel, an electromagnetic submodel and a fluid dynamics submodel. The fluid momentum theorem combined with the simulation curve-fitting method is used to model accurately the fluid dynamics which are due to the varying flow field. The hydraulic force acting on the spool can be obtained directly from this model. Finally, the feasibility of the response time and the pressurization performance of the non-linear dynamics model is proved by comparing the simulation results from MATLAB/Simulink with the experimental results obtained on a test bench. The study shows that the model can be regarded as a predictive tool for future investigation.

scholarly journals Water Resources Carrying Capacity Forecast of Jining Based on Non-Linear Dynamics Model

2011 ◽  
Vol 5 ◽  
pp. 1742-1747 ◽  
Author(s):  
Xu Xiufeng ◽  
Xu Zhenghe ◽  
Peng Limin ◽  
Zhu Yunhai ◽  
Du Min ◽  
...  
Keyword(s):  
Water Resources ◽  
Carrying Capacity ◽  
Dynamics Model ◽  
Linear Dynamics ◽  
Water Resources Carrying Capacity ◽  
Non Linear

Virtual non-linear disturbance observer by dual inverse dynamic modelling

2007 ◽  
Vol 221 (6) ◽  
pp. 677-688 ◽  
Author(s):  
M N Sahinkaya
Keyword(s):  
Inverse Dynamics ◽  
Dynamic Modelling ◽  
Control Input ◽  
Dynamics Model ◽  
External Disturbances ◽  
Inverse Dynamic ◽  
Acceleration Signal ◽  
Non Linear ◽  
Linear Disturbance ◽  
Measured Response

A method to predict unknown external disturbances and modelling errors for trajectory tracking of non-linear systems is presented. The technique involves dual inverse non-linear dynamics modelling based on Lagrangian dynamics and the use of redundant coordinates incorporating Lagrange multipliers. The first inverse dynamics model is a conventional formulation where the desired trajectory is used to calculate the required control inputs. The second inverse dynamics model treats the measured response as the desired motion, and calculates the inputs that would be required to achieve the measured motion. The method is applicable to cases where the acceleration signal is available. It can be used either to measure actual disturbances or to estimate virtual disturbances, which effectively represent all the disturbances and modelling errors on the control input coordinates. It is also suitable to be used in conjunction with or in addition to existing controllers. A numerical simulation of a two-link manipulator is used to demonstrate the effectiveness of the controller under various external disturbances, modelling errors, and unmodelled substructures.

Low pressure hydrocephalus and ventriculomegaly: hysteresis, non-linear dynamics, and the benefits of CSF diversion

2002 ◽  
Vol 16 (6) ◽  
pp. 555-561 ◽  
Author(s):  
M. S. Lesniak ◽  
R. E. Clatterbuck ◽  
D. Rigamonti ◽  
M. A. Williams
Keyword(s):  
Low Pressure ◽  
Linear Dynamics ◽  
Non Linear ◽  
Csf Diversion

Non-linear dynamics in DIS at NLO

2017 ◽  
Author(s):  
Giovanni Antonio Chirilli
Keyword(s):  
Linear Dynamics ◽  
Non Linear

Behaviour of Axially Loaded Composite Wall Panel by Using Finite Element Analysis

2015 ◽  
Vol 815 ◽  
pp. 49-53
Author(s):  
Nur Fitriah Isa ◽  
Mohd Zulham Affandi Mohd Zahid ◽  
Liyana Ahmad Sofri ◽  
Norrazman Zaiha Zainol ◽  
Muhammad Azizi Azizan ◽  
...  
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Composite Structures ◽  
Element Analysis ◽  
Steel Sheets ◽  
Linear Behavior ◽  
Non Linear ◽  
Composite Wall ◽  
Experimental Values ◽  
Civil Engineering Infrastructure

In order to promote the efficient use of composite materials in civil engineering infrastructure, effort is being directed at the development of design criteria for composite structures. Insofar as design with regard to behavior is concerned, it is well known that a key step is to investigate the influence of geometric differences on the non-linear behavior of the panels. One possible approach is to use the validated numerical model based on the non-linear finite element analysis (FEA). The validation of the composite panel’s element using Trim-deck and Span-deck steel sheets under axial load shows that the present results have very good agreement with experimental references. The developed finite element (FE) models are found to reasonably simulate load-displacement response, stress condition, giving percentage of differences below than 15% compared to the experimental values. Trim-deck design provides better axial resistance than Span-deck. More concrete in between due to larger area of contact is the factor that contributes to its resistance.

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