On the effects of higher vibration modes in the analysis of three point bend testing

Influence of higher modes of vibration in the dynamic analysis of impact three point bend specimen based on Euler-Bernoulli and Timoshenko beam theories are investigated in an attempt to predict the oscillatory behavior seen in the measured dynamic SIF history. Forced vibration of the cracked beam is analyzed by normal mode summation method. Contact force history computed using fundamental mode approximation is applied as input forcing function and the computed SIF histories are compared with finite element model and experimental data. Analytical and finite element results show that modes higher than the third have practically no influence on the notched beam response.

[1]  P. R. Marur,et al.  Dynamic analysis of three point bend specimens under impact , 1994 .

[2]  A. Leissa.  Book Reviews : Mechanics of Vibration: K. Marguerre and H. Wolfel, Sijthoff and Noordhoff The Netherlands, 1979 , 1980 .

[3]  Pr Marur,et al.  A Compact Testing System for Dynamic Fracture Studies , 1995 .

[4]  J. G. Williams,et al.  The analysis of dynamic fracture using lumped mass-spring models , 1987 .

[5]  P. R. Marur,et al.  Influence of anvil supports and overhangs in dynamic analysis of three point bend testing , 1994 .

[6]  W. Böhme,et al.  The behavior of notched bend specimens in impact testing , 1982 .

[7]  B. A. Crouch,et al.  Modelling of dynamic crack propagation behaviour in the three-point bend impact specimen , 1988 .

[8]  S. Shah,et al.  A modified instrumented charpy test for cement-based composites , 1984 .

[9]  P. W. Mcmillan,et al.  Dynamic effects in the impact testing of brittle materials , 1975 .

[10]  P. R. Marur,et al.  Two degrees of freedom modeling of precracked beams under impact , 1996 .

[11]  R.A.W. Mines,et al.  Analysis of the Hopkinson Pressure Bar loaded Instrumented Charpy Test using an inertial modelling technique , 1991, International Journal of Fracture.

[12]  J. Färm,et al.  Dynamic fracture toughness determined from load-point displacement , 1994 .

[13]  S. Aoki,et al.  Simple formula for dynamic stress intensity factor of pre-cracked Charpy specimen , 1980 .

[14]  K. Marguerre,et al.  Mechanics of vibration , 1979 .

[15]  S. Sahraoui,et al.  Numerical simulation of the Charpy impact testing , 1989 .

[16]  P. R. Marur.  An engineering approach to impact analysis of notched beams by conventional beam elements , 1996 .

[17]  Stephen P. Timoshenko,et al.  Vibration problems in engineering , 1928 .

[18]  H. Petroski.  Simple static and dynamic models for the cracked elastic beam , 1981 .