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stage 6 mois: gears contact research/ reduce order modelling

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Date: May 20, 2023

Location: Villeurbanne, FR, 69100

Company: Ansys

When visionary companies need to know how their world-changing ideas will perform, they close the gap between design and reality with Ansys simulation. For more than 50 years, Ansys software has enabled innovators across industries to push boundaries by using the predictive power of simulation. From sustainable transportation to advanced semiconductors, from satellite systems to life-saving medical devices, the next great leaps in human advancement will be powered by Ansys.


Take a leap of certainty … with Ansys.


Stage de 6 mois à Lyon (Ansys Villeurbanne) French description here, English translation below

Mots-Clés : Simulation numérique, mathématiques appliquées, dynamique multi-corps, algorithmique, python, C/C++. 

A propos de ANSYS : 

Si vous avez déjà vu décoller une fusée, pris un avion, conduit une voiture, utilisé un ordinateur, touché un appareil mobile, traversé un pont ou porté un accessoire connecté, alors, il y a de fortes chances que vous ayez utilisé un produit où ANSYS a joué un rôle clé. Leader mondial en simulation numérique, ANSYS aide les entreprises les plus innovantes à fournir des produits meilleurs à leurs clients. Son Portfolio de logiciels de simulation, vaste et performant, permet de résoudre les défis de conception les plus complexes et de concevoir des produits qui n’ont que l'imagination pour limite. 

Objectifs du stage: 

La dynamique du contact est difficile à traiter numériquement du fait de la difficulté à détecter de manière précise les points de contact et leurs évolutions au cours du temps. En effet, la précision est directement liée au type de géométrie en contact, par exemple : pour un engrenage construit en développante de cercle, des modifications de denture au micron près sont souvent introduit à la denture. Cela permet d’améliorer les performances vibro-acoustiques de l’engrenage. Ce type de mécanisme nécessite donc un maillage suffisamment fin dans la zone de contact pour pouvoir évaluer avec précision la géométrie. De plus, les surfaces en contact évoluent dans le temps, et les coûts de calcul peuvent se révéler prohibitifs. C’est pourquoi des méthodes de réduction de modèle doivent être utilisées pour limiter le nombre de degrés de libertés du système.  
L’objectif du stage est de tester des modèles réduits de l’engrenage (Component Modes Synthesis, Proper Orthogonal Decomposition, Espace de Krylov) pour la résolution de la dynamique des transmissions par engrenages dans le solveur dynamique multi-corps d’ANSYS. Le travail du stage comporte la génération des modèles réduits (POD, Krylov) à l’aide de simulation quasi-statique éléments finis non linéaires, ensuite la projection des équations du mouvement dans l’espace réduit et enfin la résolution de la dynamique transitoire dans le solveur multi-corps d’ANSYS. Le stagiaire travaillera principalement en Python et sera amené à évaluer et comparer les différentes méthodes de réduction (temps de convergence, précision) afin d’effectuer des simulations transitoires longues de transmission par engrenages. Des interventions dans le code C++ peuvent être nécessaire.  

Profil souhaité : 

- Très bon niveau en Python et/ou C++, 

- Bonnes connaissances en dynamique multi-corps et mécanique des structures, 

- Connaissances en transmission de puissance mécanique, 

- Un intérêt particulier pour la simulation et le développement. 

Langue de travail: anglais impératif et français de préférence.  


Description in English:

  6 month internship in Lyon (Ansys Villeurbanne)

Internship goals:  

Gear contact dynamics is a difficult physics to simulate. The complexity of the contact points detection and their evolution is the main reason. Contact detection is highly driven by an accurate representation of the gear geometry. For instance: micro-geometric tooth profile modification is usually introduced in gears. This profile modification improves the vibroacoustic performances, but this type of mechanism requires a very refined finite element mesh in the contact area to precisely describe the geometry. The numerical simulation of such systems becomes demanding. To overcome these limitations and reduce the number of degrees of freedom, model order reduction techniques must be used.  
The objective of the internship is to test reduced order models of gears (Component Modes Synthesis, Proper Orthogonal Decomposition, Krylov subspace) for solving the gear dynamics in the Ansys multibody solver. The work of the internship includes the generation of reduced models (POD, Krylov) using quasi-static nonlinear finite element simulation, then the projection of the equations of motion into the reduced space and finally the resolution of the transient dynamics in the multi-body solver of ANSYS. The intern will work mainly in Python and assess and evaluate the model order reduction method (time consuming, precision) to perform transient simulations. Changes in C++ code may be necessary. 


Minimum Education/Certification Requirements and Experience :

  • Master's degree in Mechanical Engineering or Applied Mathematics. 

Preferred Qualifications and Skills :

  • Experience with Python and/ or C++, 

  • Knowledge in multibody dynamics, solid mechanics and propulsion transmission, 

  • Interested in simulations and development.  


At Ansys, we know that changing the world takes vision, skill, and each other. We fuel new ideas, build relationships, and help each other realize our greatest potential in the knowledge that every day is an opportunity to observe, teach, inspire, and be inspired. Together as One Ansys, we are powering innovation that drives human advancement.


Our Commitments:

  • Amaze with innovative products and solutions
  • Make our customers incredibly successful
  • Act with integrity
  • Ensure employees thrive and shareholders prosper

Our Values:

  • Adaptability: Be open, welcome what’s next
  • Courage: Be courageous, move forward passionately
  • Generosity: Be generous, share, listen, serve
  • Authenticity: Be you, make us stronger


Our Actions:

  • We commit to audacious goals
  • We work seamlessly as a team
  • We demonstrate mastery
  • We deliver outstanding results


We believe diverse thinking leads to better outcomes. We are committed to creating and nurturing a workplace that fuels this by welcoming people, no matter their background, identity, or experience, to a workplace where they are valued and where diversity, inclusion, equity, and belonging thrive.


At Ansys, you will find yourself among the sharpest minds and most visionary leaders across the globe. Collectively we strive to change the world with innovative technology and transformational solutions. With a prestigious reputation in working with well-known, world-class companies, standards at Ansys are high – met by those willing to rise to the occasion and meet those challenges head on. Our team is passionate about pushing the limits of world-class simulation technology, empowering our customers to turn their design concepts into successful, innovative products faster and at a lower cost.


At Ansys, it’s about the learning, the discovery, and the collaboration. It’s about the “what’s next” as much as the “mission accomplished.” And it’s about the melding of disciplined intellect with strategic direction and results that have, can, and do impact real people in real ways. All this is forged within a working environment built on respect, autonomy, and ethics.

Ansys is an S&P 500 company and a member of the NASDAQ-100. We are proud to have been recognized for the following more recent awards, although our list goes on: America’s Most Loved Workplaces, Gold Stevie Award Winner, America’s Most Responsible Companies, Fast Company World Changing Ideas, Great Place to Work Certified (China, Greece, France, India, Japan, Korea, Spain, Sweden, Taiwan, U.K.).

For more information, please visit us at

Ansys is an Equal Opportunity Employer. All qualified applicants will receive consideration for employment without regard to race, color, religion, sex, sexual orientation, gender identity, national origin, disability, veteran status, and other protected characteristics.
Ansys does not accept unsolicited referrals for vacancies, and any unsolicited referral will become the property of Ansys. Upon hire, no fee will be owed to the agency, person, or entity.