Modeling of Cracked Beams by the Experimental Design Method

Abstract

The understanding of phenomena, no matter their nature is based on the experimental results found. In the most cases, this requires an important number of tests in order to put a reliable and useful observation served into solving the technical problems subsequently. This paper is based on independent and variables combination resulting from experimentation in a mathematical formulation. Indeed, mathematical modeling gives us the advantage to optimize and predict the right choices without passing each case by the experiment. In this work we plan to apply the experimental design method on the experimental results found by Deokar, A (2011), concerning the effect of the size and position of a crack on the measured frequency of a beam console, and validating the mathematical model to predict other frequencies

Modal analysis of a beam with bilateral breathing oblique cracks

“…I A Khan and D R Parhi 3 established finite element model of the beam with double cracks by ANSYS, and conducted modal analysis of the cracked beam by numerical simulation method, which was verified by modal experiments. M Serier, N Benamara, A Megueni, et al 4 designed the modal experiment scheme of a beam with bilateral cracks, and investigated influence of cracks’ sizes and locations on natural frequencies of the beam. J Zeng, H Ma, et al 5 applied mixed elements combining beam elements and solid elements to establish finite element model of the beam with double-edged cracks, and analyzed non-linear breathing behavior of the cracked beam.…”