2021/12/13 by Herbert Egger, Mané Harutyunyan, Richard Löscher +2 · 1 citation
Computer Science · Engineering · Mathematics · Physics and Astronomy · #Acoustics #Advanced Numerical Analysis Techniques #Algorithm #Applied mathematics #Computation #Computer science #Electromagnetic Simulation and Numerical Methods #Engineering #Finite element method #Geometry #Harmonic #Harmonic drive #Materials science #Mathematics #Mechanical engineering #Model Reduction and Neural Networks #Mortar #Physics #Realization (probability) #Rotor (electric) #Stator #Structural engineering #Torque #Trigonometric functions #cs.CE #cs.NA #math.NA
paper · pdf · doi:10.1186/s13362-022-00121-2
published as Journal of Mathematics in Industry, January 2022
arxiv created 2021/12/13 · openalex created_date 2021/12/31 · openalex publication_date 2022/01/31 · arxiv updated 2022/03/21 · openalex updated_date 2026/08/05
The use of trigonometric polynomials as Lagrange multipliers in the harmonic mortar method enables an efficient and elegant treatment of relative motion in the stator-rotor coupling of electric machine simulation. Explicit formulas for the torque computation are derived by energetic considerations, and their realization by harmonic mortar finite element and isogemetric analysis discretizations is discussed. Numerical tests are presented to illustrate the theoretical results and demonstrate the potential of harmonic mortar methods for the evaluation of torque ripples.