Solving frictionless rocking block problem with multiple impacts

DOI10.1098/rspa.2009.0273zbMath1186.70016OpenAlexW2101099930MaRDI QIDQ3562001

Cuneyt Yilmaz, Mohamed Gharib, Yildirim Hurmuzlu

Publication date: 19 May 2010

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: http://rspa.royalsocietypublishing.org/content/vol465/issue2111/

zbMATH Keywords

multiple impactsrocking blockimpulse correlation ratio

Mathematics Subject Classification ID

Experimental work for problems pertaining to mechanics of particles and systems (70-05) Collision of rigid or pseudo-rigid bodies (70F35)

Related Items (7)

Rocking dynamics of a planar rectangular block on a rigid surface ⋮ Analytic solution for planar indeterminate impact problems using an energy constraint ⋮ The Use of Tuned Mass Absorber to Prevent Overturning of the Rigid Block During Earthquake ⋮ Combining vibrational linear-by-part dynamics and kinetic-based decoupling of the dynamics for multiple smooth impacts with redundancy ⋮ Nonsmooth dynamics of a 3D rigid body on a vibrating plate ⋮ Modeling three-dimensional surface-to-surface rigid contact and impact ⋮ Analysis of a generalized kinematic impact law for multibody-multicontact systems, with application to the planar rocking block and chains of balls

Cites Work

• A New Look at an Old Problem: Newton’s Cradle
• Frictionless multiple impacts in multibody systems. I. Theoretical framework
• Frictionless multiple impacts in multibody systems. II. Numerical algorithm and simulation results
• Three-Dimensional Rigid-Body Collisions With Multiple Contact Points

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