Research ArticleOpen AccessGoogle Scholar indexed
Dynamic Response Analysis of Beams with Oblique Collision
- 1
- 2
Copy link · social · email
Abstract
Adopting a dynamic contact numerical method, some problems such as the central collision, transverse collision and oblique collision between two beams are researched. Numerical expressions for these cases are deduced. Using a self-developed finite element program some examples are computed, and compared with the analytical solution of the central collision, this numerical algorithm is proved to be reliable. For the other numerical results that have no analytical solution to be used to compare with, they are also reasonable through the theoretical analysis. For the transverse and oblique collision, the ideal results can be obtained by using a smaller time step.
KeywordsDynamic ContactBeamOblique CollisionTime-Variant Matrices
- T. A. Lauren, “Computational Contact and Impact Mechanics: Fundamentals of Modeling Interfacial Phenomena in Nonlinear Finite Element Analysis,” Spring-Verlag Berlin, Herdelberg and New York, 2002.
- D. Baraff, “Issues in Computing Contact Forces for Non-Penatrating Rigid Bodies,” Algorithmica, Vol. 10, No. 2-4, 1993, pp. 292-352. doi:10.1007/BF01891843
- S. Liu, “Numerical Method and Test Study for Dynamic Contact Problems in Civil Engineering (Chinese),” Ph.D. Thesis, Tsinghua University, Beijing, 2000.
- H. H. Ruan, T. X. Yu, “Collision between Mass-Spring System,” International Journal of Impact engineering, Vol. 31, No. 3, 2005, pp. 267-288. doi:10.1016/j.ijimpeng.2003.11.003
- H. H. Ruan and T. X. Yu, “Local Deformation Models in Analyzing Beam-on-Beam Collision,” International Jour- nal of mechanical sciences, Vol. 45, No. 3, 2003, pp. 397-423. doi:10.1016/S0020-7403(03)00082-1
- J. E. Escalona, J. Mayo and J. Dominguez, “A New Numerical Method for the Dynamic Analysis of Impact Loads in Flexible Beams,” Mechanism and Machine Theory, Vol. 34, No. 5, 1999, pp. 765-780. doi:10.1016/S0094-114X(98)00054-8
- S. Pashah, M. Massenzio and E. Jaxquelin, “Prediction of Structural Response for Low Velocity Impact,” International Journal of Impact Engineering, Vol. 35, No. 2, 2008, pp. 119-132. doi:10.1016/j.ijimpeng.2006.12.006
- Z. H. Liu, X. C. Yin, “Multiple Elastic-Plastic Impacts Between Free-Free Beam And Simply-Supported Beam (Chinese),” Journal of Mechanic Engineering, Vol. 46, No. 10, 2010, pp. 47-53. doi:10.3901/JME.2010.10.047
- T. Narabayashi, K. Shibake, A. Ishizaka and K. Ozaki, “Effects of Key Parameters on Energy Distribution and Kinetic Characteristics in Collision of Bar and Beam,” Journal of Sound and Vibration, Vol. 308, No. 3-5, 2007, pp. 548-562. doi:10.1016/j.jsv.2007.05.008
- H. H. Ruan, T. X. Yu, “Experimental Study of Collision between a Free-Free Beam and Simple-Supported Beam,” International Journal of Impact Engineering, Vol. 32, No. 1-4, 2005, pp. 416-443. doi:10.1016/j.ijimpeng.2005.03.003