Optimization and Mathematical Simulation of Transpedicular Fixator
Viktor IvanovichKucheruk1, Stanislav Grigorievich Petrov2, Grigoriy Leonidovich Petrov3, Elena YurevnaPetrova4, Evgeny Anatolyevich Berezuev5

1Viktor Ivanovich Kucheruk, Tyumen Industrial University, Tyumen, Russia.
2Stanislav Grigorievich Petrov, Tyumen Industrial University, Tyumen, Russia.
3Grigoriy Leonidovich Petrov, Tyumen Industrial University, Tyumen, Russia.
4Elena Yurevna Petrova, Tyumen Industrial University, Tyumen, Russia.
5Evgeny Anatol Yevich Berezuev, Stateagrarian University of Northern Zauralye, Tyumen, Russia.

Manuscript received on 30 June 2019 | Revised Manuscript received on 05 July 2019 | Manuscript published on 30 July 2019 | PP: 46-52 | Volume-8 Issue-9, July 2019 | Retrieval Number: I7476078919/19©BEIESP | DOI: 10.35940/ijitee.I7476.078919
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© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC-BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)

Abstract: This article describes a method of optimum design of transpedicular fixator on the basis of system analysis, probabilistic approach of reliability theory, and mathematical simulation. Stress–strain model of fixator is presented by statistically indeterminate rod system. Statistic and dynamic impacts of loads are considered caused by movements during rehabilitation. Force method is used for evaluation of static indeterminability of fixator system. Dynamic impact of load is taken into account by coefficients of dynamicity based on condition of energy equality of initial and reduced systems. Fixator design is optimized for each anthropometric group of patients. Target function for rod system is arranged with consideration for efficiency criteria. External diameter of tubular rod is taken as controllable variable on the basis of preset ratio of internal to external diameters. Fixator reliability is estimated by probability of ultimate state of each three structural elements of the fixator.
Keywords: Terms mathematical simulation, optimization, system analysis, reliability, target and control functions, transpedicular fixator.

Scope of the Article: Digital Clone or Simulation