期刊文献+

步进冲量法 被引量:4

Stepping-Forward Impulse Method
下载PDF
导出
摘要 复杂的切向运动模式是多刚体碰撞和冲击问题的主要特征之一。介绍了一种处理多刚体系统冲击问题的数值计算方法,它保留了位形不变假定,把冲击过程离散成多步来计算,每一步允许法向冲量有一个微小的增量,每一步都要判断接触点处是滑动还是黏滞。此方法能够合理地给出多刚体系统碰撞的跳断规律。 The complexity of tangential movements during impact is one of main characteristics for multi-rigid-body systems. A general numerical method for impulse problems of 2D rigid body systems is introduced. The method inherits the invariance of configuration of dynamic system during impact. It discretizes impact process into muhi-steps. A little impuse increment is permitted in each step and the mode of sticking or sliding must be judged before every step increment. This method can solve the impact problems properly and efficiently clue to collision or inconsistency for multi-rigid-body systems.
出处 《北京大学学报(自然科学版)》 EI CAS CSCD 北大核心 2006年第1期41-46,共6页 Acta Scientiarum Naturalium Universitatis Pekinensis
基金 1)国家自然科学基金(10502009) 北京市自然科学基金(1062007) 北京市教育委员会科技发展计划面上项目基金(KM200610015009)资助
关键词 冲击 碰撞 摩擦 多刚体系统 步进冲量法 impulse collision friction muhi-rigid-body system stepping-forward impulse method
  • 相关文献

参考文献11

  • 1Kane T R. A dynamics puzzle. Stanford Mech Alumni Club Newsletter, 1984, 6.
  • 2Kane T R, David A, Levinson. Dynamics: Theory and Applications. New York: McGraw-Hill, 1985.
  • 3Keller J B. Impact with Friction. ASME Journal of Applied Mechanics, 1986,53 : 1-4.
  • 4Yu W, Matthew T, Mason. Two-Dimensional Rigid-Body Collisions with Friction. ASME Journal of Applied Mechanics, 1992, 59:635-642.
  • 5陈滨 闫作喜 赵振.Kane动力学之谜的碰撞模型解[J].力学学报,2002,34:43-47.
  • 6Zhao Zhen, Chen Bin, Liu Caishang, et al. Impact Model Resolution On Painleve's Paradox. ACTA Mechanica Sinica,2004,20(6) :659-660.
  • 7X Li, Dunn P F, Brach R M. Experimental and Numerical Studies of Microsphere Oblique Impact with Planar Surfaces.Journal of Aeroscience, 1999,32(5) :583-594.
  • 8Stoianovici D, Hurmuzlu Y. A Critical Study of the Applicability of Rigid-Body Collision Theory. ASME Journal of Applied Mechanics, 1996,63:307-316.
  • 9Kilmister C W, Reeve J E. Rational Mechanics. New York:Elsevier, 1966, 189.
  • 10Zhao Zhen. Study on Inconsistent Problems in Classic Mechanics : [PH D Thesis]. Beijing : Peking University, 2004.

共引文献1

同被引文献57

  • 1ZHAO Zhen1,2, LIU Caishan2 & CHEN Bin2 1. Beijing Institute of Graphic Communication, Beijing 102600, China,2. Department of Mechanics & Engineering Science, Peking University, Beijing 100871, China.The numerical method for three-dimensional impact with friction of multi-rigid-body system[J].Science China(Physics,Mechanics & Astronomy),2006,49(1):102-118. 被引量:8
  • 2刘才山,陈滨,彭瀚,乔勇.多体系统多点碰撞接触问题的数值求解方法[J].动力学与控制学报,2003,1(1):59-65. 被引量:11
  • 3赵振,陈滨,刘才山,金海.IMPACT MODEL RESOLUTION ON PAINLEV'S PARADOX[J].Acta Mechanica Sinica,2004,20(6):649-660. 被引量:1
  • 4Kane T R, Levison D A. Dynamics : Theory and, Applications [ M] .New York: McGraw-Hill, 1985, 150-180.
  • 5Lotstedt P. Coulomb friction in two-dimensional rigid systems[ J]. Z Angnew Math Mech, 1981,61: 605-615.
  • 6Stronge W J. Generalized impulse and momentum applied to multibody impact with friction[ J]. Mechanics of Structures and Machines ,2001,29(2) :239-250.
  • 7Pfeiffer F. Multibody systems with unilateral constraints[ J]. J Appl Math Mech,2001,65(4) :665-670.
  • 8YAO Wen-li, CHEN Bin, LIU Cai-shan. Energetic coefficient of restitution for planar impact in multi-rigid-body systems with friction[ J ]. International Journal of Impact Engineering, 2005,31( 3 ) : 255-265.
  • 9姚文莉,王育平,边力,赵振.多刚体系统接触碰撞动力学研究进展[J].力学与实践,2007,29(6):9-12. 被引量:11
  • 10吕茂烈.碰撞恢复系数及其测定[J].固体力学学报,1984,(3).

引证文献4

二级引证文献43

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部