Geodesic
Simulation of the orthotropic plate response behavior during dynamic load
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 61 (2019), pp. 111-118 Cet article a éte moissonné depuis la source Math-Net.Ru

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Detection of the structural defects in devices and machines at early stages is an urgent problem in the instrument-making industry. Such requirements are based on the need to reduce the time of manufacturing new products, and to decrease the expenses for creating prototypes. One of the tools which is capable to solve the complex problems is a mathematical modeling. In this paper, the simulation of the device has been reduced to the level of describing orthotropic plate behavior. Such methodology makes it possible not only to numerically analyze the process, but also to experimentally evaluate the adequacy of the obtained results. The model is based on the equation of motion which allows one to describe the behavior of the orthotropic plate under external dynamic load. To confirm the simulation results, an experiment is carried out, which yields the elastic modulus of the real orthotropic plate and gives an opportunity to compare the results with the data from tables, as well as to show the presence of the orthotropy in the sample.
Keywords: mathematical modeling, isotropic material, orthotropic material, stress-strain state, equation of motion. 
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     author = {I. V. Scherbakov and B. A. Lyukshin},
     title = {Simulation of the orthotropic plate response behavior during dynamic load},
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     pages = {111--118},
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I. V. Scherbakov; B. A. Lyukshin. Simulation of the orthotropic plate response behavior during dynamic load. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 61 (2019), pp. 111-118. http://geodesic.mathdoc.fr/item/VTGU_2019_61_a9/

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