Dynamic responses of a hinged-hinged Timoshenko beam with or without a damage subject to blast loading

Abstract The present paper addresses the subject of dynamics and damage detection in Timoshenko beam subjected to blast excitation. The general equation governing the dynamics states of both healthy and damaged hinged-hinged Timoshenko beam is derived. A damage function evolving the location, the sizes, the geometry of the damaged area is proposed and the response to blast loading is investigated. The exploration and the comparison of the dynamics of the damaged and healthy states allow to foresee the degree of the structural damage.

[1]  Min Zhou,et al.  Dynamic behavior of concrete at high strain rates and pressures: I. experimental characterization , 2001 .

[2]  Petr Schneider Predicting damage of slender cylindrical steel shells under pressure wave load , 1998 .

[3]  J. Y. Richard Liew,et al.  Survivability of steel frame structures subject to blast and fire , 2008 .

[4]  S. Sarkar,et al.  Analysis of Blast Induced Intracranial Pressure Dynamics in Cerebrospinal Fluid Leading to Traumatic Brain Injury , 2011 .

[5]  Nenad Bićanić,et al.  Damage identification in framed structures using natural frequencies , 1997 .

[6]  S. Timoshenko,et al.  LXVI. On the correction for shear of the differential equation for transverse vibrations of prismatic bars , 1921 .

[7]  Steffen Marburg,et al.  An Abridged Review of Blast Wave Parameters , 2012 .

[8]  Usik Lee,et al.  A frequency response function-based structural damage identification method , 2002 .

[9]  Norris Stubbs,et al.  Damage identification in beam-type structures: frequency-based method vs mode-shape-based method , 2003 .

[10]  Charles R. Farrar,et al.  A summary review of vibration-based damage identification methods , 1998 .

[11]  J. W. Hijmissen,et al.  On transverse vibrations of a vertical Timoshenko beam , 2008 .

[12]  Takashi Yokoyama,et al.  Vibrations of a hanging Timoshenko beam under gravity , 1990 .

[13]  Ho-Jung Lee,et al.  Performance of cable-stayed bridge pylons subjected to blast loading , 2011 .

[14]  H. Benaroya,et al.  DYNAMICS OF TRANSVERSELY VIBRATING BEAMS USING FOUR ENGINEERING THEORIES , 1999 .

[15]  Gangan Prathap,et al.  The second frequency spectrum of Timoshenko beams , 1981 .

[16]  Christopher J. Earls,et al.  Simulating blast effects on steel beam-column members: Methods , 2011 .

[17]  Tongxi Yu,et al.  Transverse blast loading of hollow beams with square cross-sections , 2013 .

[18]  G. Voyiadjis,et al.  How a singularity forms in continuum damage mechanics , 2014 .

[19]  Paul Woafo,et al.  Dynamics and magneto-rheological control of vibration of cantilever Timoshenko beam under earthquake loads , 2014 .