Abstract
Longitudinal impact analysis for slender rods has fascinated many famous scientists for hundreds of years. For a rod with uniform cross-sectional area along its length, analytical results about the longitudinal wave propagation of the rod impacting a rigid wall or impacted by a rigid body are well known. However, for a rod with variable cross-sectional area, there exist only a few analytical results in the literature. Since the study of conical rods has recently attracted some interest in various fields, the impact analysis for a conical rod falling against the rigid ground is discussed in this paper in detail and some symbolical results computed by computer algebra are presented. These analytical results are exact and may be used to validate the numerical programs using the finite element method or the boundary element method, too. It is also shown that in contrast to rigid-body collision theory, the geometrical shape of rods plays an important role in impact dynamic.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
