Newton–Euler, Lagrange and Kirchhoff formulations of rigid body dynamics: a unified approach

被引:0
|
作者
Enrico Massa
Stefano Vignolo
机构
[1] Università di Genova,DIME, Sez. Metodi e Modelli Matematici
来源
Meccanica | 2016年 / 51卷
关键词
Gauss principle; Rigid body kinematics and dynamics; Lagrange and Kirchhoff equations;
D O I
暂无
中图分类号
学科分类号
摘要
A unified formulation of rigid body dynamics based on Gauss principle is proposed. The Lagrange, Kirchhoff and Newton–Euler equations are seen to arise from different choices of the quasi-coordinates in the velocity space. The group-theoretical aspects of the method are discussed.
引用
收藏
页码:2019 / 2023
页数:4
相关论文
共 50 条
  • [31] Application of Generalized Differential Euler-Gess Equations in Rigid Body and Gyrostat Dynamics
    Panov, A. P.
    [J]. 2015 IEEE 3RD INTERNATIONAL CONFERENCE ACTUAL PROBLEMS OF UNMANNED AERIAL VEHICLES DEVELOPMENTS (APUAVD), 2015, : 16 - 19
  • [32] Rigid body dynamics approach to Stokesian dynamics simulations of nonspherical particles
    Kutteh, Ramzi
    [J]. JOURNAL OF CHEMICAL PHYSICS, 2010, 132 (17):
  • [33] Application of the Euler-Lagrange Approach and Immersed Boundary Method to Investigate the Behavior of Rigid Particles in a Confined Flow
    Borges, Jonatas Emmanuel
    Puelles, Sammy Cristopher Paredes
    Demicoli, Marija
    Padilla, Elie Luis Martinez
    [J]. AXIOMS, 2023, 12 (12)
  • [34] Explicit Dynamics Formulation of Stewart-Gough Platform: A Newton-Euler Approach
    Oftadeh, Reza
    Aref, Mohammad M.
    Taghirad, Hamid D.
    [J]. IEEE/RSJ 2010 INTERNATIONAL CONFERENCE ON INTELLIGENT ROBOTS AND SYSTEMS (IROS 2010), 2010, : 2772 - 2777
  • [35] A new approach to the solution of some problems of rigid body dynamics
    Ivanova, EA
    [J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2001, 81 (09): : 613 - 622
  • [36] THE GEODESIC-FLOW ON THE ELLIPSOID IS ORBITALLY EQUIVALENT TO THE EULER CASE IN RIGID-BODY DYNAMICS
    BOLSINOV, AV
    FOMENKO, AT
    [J]. DOKLADY AKADEMII NAUK, 1994, 339 (03) : 293 - 296
  • [37] Forward dynamics of two-dimensional skeletal models. A Newton-Euler approach
    Casius, LJR
    Bobbert, MF
    van Soest, AJ
    [J]. JOURNAL OF APPLIED BIOMECHANICS, 2004, 20 (04) : 421 - 449
  • [38] Particle based Large Eddy Simulation of vortex ripple dynamics using an Euler-Lagrange approach
    Hagan, Dan
    Wengrove, Meagan
    Dubief, Yves
    Desjardins, Olivier
    Frank-Gilchrist, Donya
    Calantoni, Joseph
    [J]. EUROPEAN JOURNAL OF MECHANICS B-FLUIDS, 2023, 97 : 53 - 69
  • [39] HIDDEN CONVEXITY IN THE HEAT, LINEAR TRANSPORT, AND EULER'S RIGID BODY EQUATIONS: A COMPUTATIONAL APPROACH
    Kouskiya, Uditnarayan
    Analysis, Amit Acharya
    [J]. QUARTERLY OF APPLIED MATHEMATICS, 2024, 82 (04) : 673 - 703
  • [40] Structured learning of rigid-body dynamics: A survey and unified view from a robotics perspective
    Geist, A. René
    Trimpe, Sebastian
    [J]. GAMM Mitteilungen, 2021, 44 (02)