The dynamics of discrete mechanical systems with perfect unilateral constraints

被引：4
|
作者：
Ballard, P [1 ]
机构：
[1] Ecole Polytech, Mecan Solides Lab, F-91128 Palaiseau, France
来源：
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE II FASCICULE B-MECANIQUE PHYSIQUE ASTRONOMIE | 1999年 / 327卷 / 10期
关键词：
analytical mechanics; dynamics; unilateral constraints; impact; differential inclusion;
D O I：
10.1016/S1287-4620(00)87003-9
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
The dynamics of discrete mechanical systems with perfect unilateral constraints is formulated in a very general setting. We study the resulting evolution problem. The existence and uniqueness of a maximal solution is proved under the hypothesis that the data are analytic. We also provide a sufficient condition to ensure that the maximal solution is defined for all rime. (C) 1999 Academie des sciences/Editions scientifiques et medicales Elsevier SAS.
引用
收藏
页码：953 / 958
页数：6
相关论文
共 50 条
  • [1] The Dynamics of Discrete Mechanical Systems with Perfect Unilateral Constraints
    Patrick Ballard
    Archive for Rational Mechanics and Analysis, 2000, 154 : 199 - 274
  • [2] The dynamics of discrete mechanical systems with perfect unilateral constraints
    Ballard, P
    ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2000, 154 (03) : 199 - 274
  • [3] Mathematical description of unilateral constraints for discrete mechanical systems
    Grzesikiewicz, Wieslaw
    Zbiciak, Artur
    XXIV R-S-P SEMINAR, THEORETICAL FOUNDATION OF CIVIL ENGINEERING (24RSP) (TFOCE 2015), 2015, 111 : 277 - 282
  • [4] THE DYNAMICS OF SYSTEMS WITH UNILATERAL CONSTRAINTS
    IVANOV, AP
    MARKEEV, AP
    PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS, 1984, 48 (04): : 448 - 451
  • [5] A unified variational model for the dynamics of perfect unilateral constraints
    Mabrouk, M
    EUROPEAN JOURNAL OF MECHANICS A-SOLIDS, 1998, 17 (05) : 819 - 842
  • [6] Dynamics of Multi-Body Mechanical Systems with Unilateral Constraints and Impacts
    Zbiciak, Artur
    Kozyra, Zofia
    XXIII R-S-P SEMINAR, THEORETICAL FOUNDATION OF CIVIL ENGINEERING (23RSP) (TFOCE 2014), 2014, 91 : 112 - 117
  • [7] Mechanical systems with unilateral constraints and friction
    INRIA, Team-project BIPOP Inovallée, 655 avenue de l'Europe Montbonnot, 38334 Saint-Ismier, France
    Lect. Notes Appl. Comput. Mech., 2008, (107-163):
  • [8] Dynamics of Systems with Unilateral Differential Constraints
    T. V. Salnikova
    E. I. Kugushev
    A. A. Demidov
    Doklady Mathematics, 2023, 108 : 431 - 437
  • [9] Dynamics of Systems with Unilateral Differential Constraints
    Salnikova, T. V.
    Kugushev, E. I.
    Demidov, A. A.
    DOKLADY MATHEMATICS, 2023, 108 (03) : 431 - 437
  • [10] Dynamics of multibody systems with unilateral constraints
    Wösle, M
    Pfeiffer, F
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1999, 9 (03): : 473 - 478
12345