The MATLAB ODE Suite

Shampine, L. F.; Reichelt, Mark W.

doi:10.1137/s1064827594276424

Cited by 3,100 publications

(1,840 citation statements)

References 25 publications

(4 reference statements)

Supporting

Mentioning

1,800

Contrasting

Unclassified

Order By: Relevance

“…We will assume here the existence of event detection routines. For instance, in MATLAB (Higham and Higham, 2005) the event detection routines are built-in and can easily be used together with the likewise built-in ODE solvers in order to integrate trajectories and to locate events along them as precisely as the accuracy of MATLAB permits (for more details of the MATLAB ODE routines, see (Shampine and Reichelt, 1997;Ashino et al, 2000)). However, standard methods, for example, the so-called secant type methods, can easily be implemented and have proven to be fast and reliable.…”

Section: The Event-driven Simulation Methodsmentioning

confidence: 99%

Drilling Systems: Stability and Hidden Oscillations

Kiseleva

Kuznetsov

Леонов

et al. 2013

Discontinuity and Complexity in Nonlinear Physical Systems

View full text Add to dashboard Cite

Esitetään Jyväskylän yliopiston informaatioteknologian tiedekunnan suostumuksella julkisesti tarkastettavaksi yliopiston Agora-rakennuksen Delta-salissa joulukuun 16. päivänä 2013 kello 12.Academic dissertation to be publicly discussed, by permission of the Faculty of Information Technology of the University of Jyväskylä, in building Agora, auditorium Delta, on December 16, 2013 at 12 o'clock noon. UNIVERSITY OF JYVÄSKYLÄ JYVÄSKYLÄ 2013Oscillations This work is devoted to the study of electromechanical models of induction motorpowered drilling systems. This is a current issue, as drilling equipment failures cause significant time and expenditure losses for drilling companies. Although there are many papers devoted to the investigation of these systems, equipment failures still occur frequently in the drilling industry. In this study, we continue investigations begun by researchers from the Eindhoven University of Technology, who introduced an experimental model of a drilling system. The model consists of two discs connected to each other by a steel string that experiences purely torsional deformation. The upper disc is connected to the driving part. The lower disc, representing the bottom end of the drill-string, experiences friction torque caused mainly by interaction with the shale. The key idea of the present study that distinguishes it from the previous model was the introduction of more complex equations of the driving part, in particular, considerations of the induction motor.Towards this end, two new mathematical models are considered. The first is a simplified one, its prototype being an electric hand drill. In this case it is assumed that the drill string is absolutely rigid and the friction torque acting on the lower part of the drill-string has asymmetric characteristics of the Coulomb type. The qualitative analysis of this model made it possible to obtain parameters on permissible loads (i.e., permissible values of the friction torque) in case the system remained in operational mode after the shale's type changes. Using computer modeling, analysis of sudden load appearance was also performed.The second mathematical model focuses on the torsional deformation of the drill during operation. For the friction torque with Coulomb type asymmetric characteristic, local analysis of the system is provided. The author carried out computer modeling of the friction model created by the researches at the University of Eindhoven. In this model, we found an interesting effect represented by hidden stick-slip oscillations.The results of the study have been published in 11 papers.

show abstract

Section: The Event-driven Simulation Methodsmentioning

confidence: 99%

Drilling Systems: Stability and Hidden Oscillations

Kiseleva

Kuznetsov

Леонов

et al. 2013

Discontinuity and Complexity in Nonlinear Physical Systems

View full text Add to dashboard Cite

show abstract

“…The data corresponding to the CPU employed in the numerical simulations and the main integration parameters of the ordinary differential equations (ODE) solver are reported in Table 8 [38,31].…”

Section: Computational Timesmentioning

confidence: 99%

Development of an innovative wheel–rail contact model for the analysis of degraded adhesion in railway systems

Allotta

Meli

Ridolfi

et al. 2014

Tribology International

View full text Add to dashboard Cite

a b s t r a c tA detailed description of adhesion is crucial in tribology, vehicle dynamics and railway systems, both theoretically and practically. However, an accurate adhesion model is quite hard to develop because of the complex and non-linear behaviour of the adhesion coefficient and the external unknown contaminants which are present between the contact surfaces. The problem becomes even more complicated when degraded adhesion and large sliding between the contact bodies (for instance wheel and rail) occur.In this paper the authors describe an innovative adhesion model aimed at increasing the accuracy in reproducing degraded adhesion conditions in vehicle dynamics and railway systems; the new approach turns out to be quite suitable also for multibody applications (fundamental in this research topic). The model studied in the work considers some of the main phenomena behind the degraded adhesion: the large sliding at the contact interface, the high energy dissipation, the consequent cleaning effect on the contact surfaces and, finally, the adhesion recovery due to the external unknown contaminant removal.The new adhesion model has been validated through experimental data provided by Trenitalia S.p.A. and coming from on-track tests carried out in Velim (Czech Republic) on a straight railway track characterised by degraded adhesion conditions. The tests have been performed with the railway vehicle UIC-Z1 equipped with a fully-working Wheel Slide Protection (WSP) system.The validation showed the good performances of the adhesion model both in terms of accuracy and in terms of numerical efficiency; high computational performances are required to implement the developed model directly online within more general and complex multibody models (e.g. in MatlabSimulink and Simpack environments). In conclusion, the adhesion model highlighted the capability of well reproducing the complex phenomena behind the degraded adhesion.

show abstract

“…More in detail, both the dynamical and the control performances of the system will be analysed. The main control and integration parameters are summarised in Table 5 (see the Section 3.3) [37]. The simulated vehicle and wheelset velocities v s ; v wsi ¼ r w x wsi are reported in Fig.…”

Section: The Model Validationmentioning

confidence: 99%

An innovative hardware in the loop architecture for the analysis of railway braking under degraded adhesion conditions through roller-rigs

et al. 2014

View full text Add to dashboard Cite

This article appeared in a journal published by Elsevier. The attached copy is furnished to the author for internal non-commercial research and education use, including for instruction at the authors institution and sharing with colleagues.Other uses, including reproduction and distribution, or selling or licensing copies, or posting to personal, institutional or third party websites are prohibited. Nowadays, the longitudinal train dynamical behaviour is almost totally controlled by braking on board subsystems, such as Wheel Slide Protection (WSP) devices. The study and the development of these systems are fundamental for the vehicle safety, especially at high speeds and under degraded adhesion conditions. Traditionally, the performance of braking subsystems is tested on full-scale roller-rigs, to save time and to avoid expensive on-track tests. However, the study of the subsystem behaviour under degraded adhesion conditions on roller-rigs is still limited to few applications since high slidings among rollers and wheelsets generate wear of the rolling surfaces. This event is not acceptable because of the effects on the maintenance costs (the rollers have to be turned or substituted), on the system dynamical stability and on the safety. In this work the authors present an innovative Hardware In the Loop (HIL) approach for testing braking on board subsystems on full-scale roller-rigs. The new approach permits the reproduction on the rollerrig of a generic wheel-rail adhesion pattern and, in particular, of degraded adhesion conditions. The described strategy is the same implemented on the innovative full-scale roller-rig, recently built by Trenitalia and owned by SIMPRO, in the Railway Research and Approval Center of Firenze-Osmannoro (Italy). To validate the proposed approach, a complete model of the HIL system has been developed; the results provided by the simulation model have been compared to the experimental data provided by Trenitalia and relative to the on-track tests performed in Velim, Czech Republic, with a UIC-Z1 coach equipped with a fully-working WSP system. The complete model is based on the real characteristics of the components provided by Trenitalia. The preliminary validation performed with the HIL model highlighted the good performance of the HIL strategy in reproducing on the roller-rig the complex behaviour of the degraded adhesion during the braking of a railway vehicle. The next steps of the research activity will be the implementation both of the controller and the virtual vehicle model on the real Firenze-Osmannoro roller-rig.

show abstract

The MATLAB ODE Suite

Abstract: International audienceThis paper describes mathematical and software developments for a suite of programs for solving ordinary diierential equations in Matlab

Cited by 3,100 publications

References 25 publications

Drilling Systems: Stability and Hidden Oscillations

Drilling Systems: Stability and Hidden Oscillations

Development of an innovative wheel–rail contact model for the analysis of degraded adhesion in railway systems

An innovative hardware in the loop architecture for the analysis of railway braking under degraded adhesion conditions through roller-rigs

Contact Info

Product

Resources

About