An experimental study on transverse vibration of tapered bars in elasto-plastic regime

Abstract In the present study, the natural frequencies of axially loaded, tapered bars are obtained experimentally. A tensile load is applied gradually till failure (necking) starts at the minimum cross-section end or yielding initiates at the maximum cross-section end. Experiments are carried out for aluminum and mild steel specimens with four different taper ratios. The results are presented in the amplitude–frequency plane as waterfall diagrams, which are processed further using a suitable windowing technique to better resolve the first two vibration modes. A comparison of experimental observations with results obtained from ANSYS indicates agreement in the elastic part of loading, but the results differ in the post-elastic domain. It is believed that the present results can serve as benchmarks for further investigation in this domain.

[1]  Ü. Lepik Dynamic buckling of elastic–plastic beams including effects of axial stress waves , 2001 .

[2]  Walter Lacarbonara,et al.  Non-linear cancellation of the parametric resonance in elastic beams: Theory and experiment , 2007 .

[3]  J. E. Harding,et al.  Axially pre-loaded steel tubes subjected to lateral impacts (a numerical simulation) , 2008 .

[4]  Marvin W. Halling,et al.  Analytical and Experimental Studies on the Large Amplitude Free Vibrations of Variable-Arc-Length Beams , 2005 .

[5]  Guowei Ma,et al.  Dynamic asymmetrical instability of elastic-plastic beams , 2005 .

[6]  J. E. Harding,et al.  Dynamic behaviour of axially pre-loaded tubular steel members of offshore structures subjected to impact damage , 1999 .

[7]  Earl H. Dowell,et al.  Free vibration of a cantilevered beam with multiple steps: Comparison of several theoretical methods with experiment , 2008 .

[8]  Guang Meng,et al.  Feature extraction based on the 3D spectrum analysis of acoustic signals to identify rotor malfunction , 2006 .

[9]  Carl T.F. Ross,et al.  Plastic axisymmetric collapse of thin-walled circular cylinders and cones under uniform external pressure , 1998 .

[10]  Ü. Lepik A contribution to bifurcation analysis of elastic-plastic beams , 1998 .

[11]  Namcheol Kang,et al.  Vibrations and stability of a flexible disk rotating in a gas-filled enclosure-Part 1: Theoretical study , 2006 .

[12]  Raymond H. Plaut,et al.  Postbuckling and vibration of linearly elastic and softening columns under self-weight , 2004 .

[13]  Marcelo A. Savi,et al.  Chaos and Unpredictability in the Vibration of an Elasto-Plastic Beam , 2001 .

[14]  R. Plaut,et al.  Three-dimensional postbuckling and vibration of vertical half-loop under self-weight , 2004 .

[15]  Norman Jones,et al.  Dynamic buckling of elastic–plastic square tubes under axial impact—II: structural response , 2004 .

[16]  Guowei Ma,et al.  The anomalous region of elastic–plastic beam dynamics , 2006 .

[17]  Shenjie Zhou,et al.  Static and dynamic analysis of micro beams based on strain gradient elasticity theory , 2009 .

[18]  Dora Karagiozova,et al.  Dynamic buckling of elastic–plastic square tubes under axial impact—I: stress wave propagation phenomenon , 2004 .

[19]  Jiun-Shyan Chen,et al.  A new algorithm for numerical solution of dynamic elastic–plastic hardening and softening problems , 2003 .

[20]  P. Sahoo,et al.  Dynamic analysis of non-uniform taper bars in post-elastic regime under uniform axial loading , 2009 .

[21]  Norman Jones,et al.  Dynamic elastic-plastic buckling phenomena in a rod due to axial impact , 1996 .