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Information Journal Paper

Title

A CONTINUOUS VIBRATION THEORY FOR BEAMS WITH A VERTICAL EDGE CRACK

Pages

  194-204

Abstract

 In this paper, a continuous model for flexural VIBRATION of beams with an edge crack perpendicular to the neutral plane has been developed. The model assumes that the displacement field is a superposition of the classical Euler-Bernoulli beam's displacement and of a displacement due to the crack. The additional displacement is assumed to be a product between a function of time and an exponential function of space. The unknown functions and parameters are determined based on the zero stress conditions at the crack faces and the concept of J-INTEGRAL from fracture mechanics. The governing equation of motion for the beam has been obtained using the Hamilton principle and solved using a modified Galerkin method. The results have been compared with finite element results and an excellent agreement is observed.

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  • Cite

    APA: Copy

    BEHZAD, M., EBRAHIMI, A., & MEGHDARI, A.. (2010). A CONTINUOUS VIBRATION THEORY FOR BEAMS WITH A VERTICAL EDGE CRACK. SCIENTIA IRANICA, 17(3 (TRANSACTION B: MECHANICAL ENGINEERING)), 194-204. SID. https://sid.ir/paper/289949/en

    Vancouver: Copy

    BEHZAD M., EBRAHIMI A., MEGHDARI A.. A CONTINUOUS VIBRATION THEORY FOR BEAMS WITH A VERTICAL EDGE CRACK. SCIENTIA IRANICA[Internet]. 2010;17(3 (TRANSACTION B: MECHANICAL ENGINEERING)):194-204. Available from: https://sid.ir/paper/289949/en

    IEEE: Copy

    M. BEHZAD, A. EBRAHIMI, and A. MEGHDARI, “A CONTINUOUS VIBRATION THEORY FOR BEAMS WITH A VERTICAL EDGE CRACK,” SCIENTIA IRANICA, vol. 17, no. 3 (TRANSACTION B: MECHANICAL ENGINEERING), pp. 194–204, 2010, [Online]. Available: https://sid.ir/paper/289949/en

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