title: ÐÐ¾Ð½ÐµÑÐ½Ð¾-ÑÐ»ÐµÐ¼ÐµÐ½ÑÐ½Ð¾Ðµ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ðµ Ð²Ð»Ð¸ÑÐ½Ð¸Ñ Ð´Ð¸ÑÑÑÐ¾ÑÐ¸ÑÐµÑÐºÐ¸Ñ Ð¸Ð·Ð¼ÐµÐ½ÐµÐ½Ð¸Ð¹ Ð½Ð° Ð½Ð°Ð¿ÑÑÐ¶ÑÐ½Ð½Ð¾-Ð´ÐµÑÐ¾ÑÐ¼Ð¸ÑÐ¾Ð²Ð°Ð½Ð½Ð¾Ðµ ÑÐ¾ÑÑÐ¾ÑÐ½Ð¸Ðµ Ð¿Ð¾Ð·Ð²Ð¾Ð½Ð¾ÑÐ½Ð¸ÐºÐ°
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð±Ð°ÐºÐ°Ð»Ð°Ð²ÑÐ°
titleType: Subtitle
title: Finite element study of the effect of dystrophic changes on the stress-deformed state of the spine
Creators: name: Ð Ð¾Ð¼Ð°Ð½Ð¾Ð², ÐÐ°ÑÐ²ÐµÐ¹
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2023
Subjects: Ð¿Ð¾Ð·Ð²Ð¾Ð½Ð¾ÑÐ½Ð¸Ðº
Ð´Ð¸ÑÑÑÐ¾ÑÐ¸ÑÐµÑÐºÐ¸Ðµ Ð·Ð°Ð±Ð¾Ð»ÐµÐ²Ð°Ð½Ð¸Ñ Ð¿Ð¾Ð·Ð²Ð¾Ð½Ð¾ÑÐ½Ð¾Ð³Ð¾ ÑÑÐ¾Ð»Ð±Ð°
Ð½Ð°Ð¿ÑÑÐ¶ÐµÐ½Ð½Ð¾-Ð´ÐµÑÐ¾ÑÐ¼Ð¸ÑÐ¾Ð²Ð°Ð½Ð½Ð¾Ðµ ÑÐ¾ÑÑÐ¾ÑÐ½Ð¸Ðµ
Ð¼ÐºÑ
Ð±Ð¸Ð¾Ð¼ÐµÑ Ð°Ð½Ð¸ÐºÐ°
ÑÐ¿Ð¾ÑÑÐ¸Ð²Ð½Ð°Ñ Ð¼ÐµÐ´Ð¸ÑÐ¸Ð½Ð°
spine
dystrophic diseases of the vertebral column
stress-strain state
fem
biomechanics
sports medicine

description: ÐÐ°Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð° Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ Ð²Ð»Ð¸ÑÐ½Ð¸Ñ Ð´Ð¸ÑÑÑÐ¾ÑÐ¸ÑÐµÑÐºÐ¸Ñ Ð¸Ð·Ð¼ÐµÐ½ÐµÐ½Ð¸Ð¹ Ð¿Ð¾Ð·Ð²Ð¾Ð½Ð¾ÑÐ½Ð¸ÐºÐ° Ð½Ð° ÐµÐ³Ð¾ Ð½Ð°Ð¿ÑÑÐ¶ÐµÐ½Ð½Ð¾ Ð´ÐµÑÐ¾ÑÐ¼Ð¸ÑÐ¾Ð²Ð°Ð½Ð½Ð¾Ðµ ÑÐ¾ÑÑÐ¾ÑÐ½Ð¸Ðµ, Ð¿Ð¾Ð´ Ð´ÐµÐ¹ÑÑÐ²Ð¸ÐµÐ¼ Ð²ÐµÑÑÐ¸ÐºÐ°Ð»ÑÐ½Ð¾Ð¹ Ð½Ð°Ð³ÑÑÐ·ÐºÐ¸, Ð²Ð¾Ð·Ð½Ð¸ÐºÐ°ÑÑÐµÐ¹ Ð¿ÑÐ¸ Ð²ÑÐ¿Ð¾Ð»Ð½ÐµÐ½Ð¸Ð¸ ÑÐ¿Ð¾ÑÑÐ¸Ð²Ð½Ð¾Ð³Ð¾ ÑÐ¿ÑÐ°Ð¶Ð½ÐµÐ½Ð¸Ñ Ð² Ð²Ð¸Ð´Ðµ Ð¿ÑÐ¸ÑÐµÐ´Ð°Ð½Ð¸Ð¹. ÐÐ°Ð´Ð°ÑÐ¸, ÐºÐ¾ÑÐ¾ÑÑÐµ ÑÐµÑÐ°Ð»Ð¸ÑÑ Ð² ÑÐ¾Ð´Ðµ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ: ÑÐ¾Ð·Ð´Ð°Ð½Ð¸Ðµ ÑÑÑÑ ÑÐ°Ð·Ð»Ð¸ÑÐ½ÑÑ Ð¼Ð¾Ð´ÐµÐ»ÐµÐ¹ Ð¿Ð¾Ð·Ð²Ð¾Ð½Ð¾ÑÐ½Ð¾Ð³Ð¾ ÑÑÐ¾Ð»Ð±Ð°: Ð·Ð´Ð¾ÑÐ¾Ð²ÑÐ¹, Ñ Ð´Ð¸ÑÑÑÐ¾ÑÐ¸ÑÐµÑÐºÐ¸Ð¼ ÐºÐ¸ÑÐ¾Ð·Ð¾Ð¼ Ð¸ Ñ Ð´Ð¸ÑÑÑÐ¾ÑÐ¸ÑÐµÑÐºÐ¸Ð¼ ÑÐºÐ¾Ð»Ð¸Ð¾Ð·Ð¾Ð¼, Ð²ÑÑÐ²Ð»ÐµÐ½Ð¸Ðµ Ð½Ð°Ð¸Ð±Ð¾Ð»ÐµÐµ Ð¾Ð¿Ð°ÑÐ½ÑÑ Ð¼ÐµÑÑ Ð² Ð¿Ð¾Ð·Ð²Ð¾Ð½Ð¾ÑÐ½Ð¾Ð¼ ÑÑÐ¾Ð»Ð±Ðµ Ð¿Ð¾Ð´ Ð´ÐµÐ¹ÑÑÐ²Ð¸ÐµÐ¼ Ð½Ð°Ð³ÑÑÐ·ÐºÐ¸, ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ðµ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐ¾Ð² Ð² Ð¼Ð¾Ð´ÐµÐ»ÑÑ Ñ Ð·Ð°Ð±Ð¾Ð»ÐµÐ²Ð°Ð½Ð¸ÑÐ¼Ð¸ Ð¿Ð¾Ð·Ð²Ð¾Ð½Ð¾ÑÐ½Ð¸ÐºÐ° Ñ Ð·Ð´Ð¾ÑÐ¾Ð²Ð¾Ð¹ Ð¼Ð¾Ð´ÐµÐ»ÑÑ Ð¿Ð¾Ð·Ð²Ð¾Ð½Ð¾ÑÐ½Ð¾Ð³Ð¾ ÑÑÐ¾Ð»Ð±Ð°. Ð Ð°Ð±Ð¾ÑÐ° Ð¿ÑÐ¾Ð²ÐµÐ´ÐµÐ½Ð° Ð² Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð½ÑÑ ÐºÐ¾Ð¼Ð¿Ð»ÐµÐºÑÐ°Ñ Solidworks Ð¸ Ansys. Ð Solidworks ÑÑÑÐ¾Ð¸Ð»Ð¸ÑÑ 3D Ð¼Ð¾Ð´ÐµÐ»Ð¸, Ð² ÑÐ²Ð¾Ñ Ð¾ÑÐµÑÐµÐ´Ñ Ð² Ansys Ð¿ÑÐ¾Ð²Ð¾Ð´Ð¸Ð»Ð¸ÑÑ Ð²ÑÐµ ÑÐ°ÑÑÑÑÑ. ÐÐµÐ¾Ð±ÑÐ¾Ð´Ð¸Ð¼Ð°Ñ Ð¸Ð½ÑÐ¾ÑÐ¼Ð°ÑÐ¸Ñ Ð´Ð»Ñ Ð¿Ð¾ÑÑÑÐ¾ÐµÐ½Ð¸Ñ Ð¸ Ð½Ð°Ð³ÑÑÐ¶ÐµÐ½Ð¸Ñ Ð±ÑÐ°Ð»Ð°ÑÑ Ð¸Ð· ÑÐ¶Ðµ ÑÑÑÐµÑÑÐ²ÑÑÑÐ¸Ñ ÑÐ°Ð±Ð¾Ñ Ð¿Ð¾ ÑÑÐ¾Ð¹ ÑÐµÐ¼Ðµ, Ð° ÑÐ°ÐºÐ¶Ðµ Ð¸Ð· ÑÐ°Ð·Ð»Ð¸ÑÐ½ÑÑ Ð¸Ð½ÑÐµÑÐ½ÐµÑ ÑÐµÑÑÑÑÐ¾Ð² Ð² Ð¾ÑÐºÑÑÑÐ¾Ð¼ Ð´Ð¾ÑÑÑÐ¿Ðµ. ÐÑÐ»Ð¸ Ð¿ÑÐ¾Ð²ÐµÐ´ÐµÐ½Ñ ÑÐ°ÑÑÐµÑÑ, Ð¿Ð¾ÐºÐ°Ð·ÑÐ²Ð°ÑÑÐ¸Ðµ Ð½Ð°Ð³Ð»ÑÐ´Ð½Ð¾, ÐºÐ°ÐºÐ¸Ð¼ Ð¾Ð±ÑÐ°Ð·Ð¾Ð¼ Ð·Ð°Ð±Ð¾Ð»ÐµÐ²Ð°Ð½Ð¸Ñ Ð² Ð²Ð¸Ð´Ðµ ÐºÐ¸ÑÐ¾Ð·Ð° Ð¸ ÑÐºÐ¾Ð»Ð¸Ð¾Ð·Ð° Ð²Ð»Ð¸ÑÑÑ Ð½Ð° Ð½Ð°Ð¿ÑÑÐ¶ÐµÐ½Ð½Ð¾ Ð´ÐµÑÐ¾ÑÐ¼Ð¸ÑÐ¾Ð²Ð°Ð½Ð½Ð¾Ðµ ÑÐ¾ÑÑÐ¾ÑÐ½Ð¸Ðµ Ð¿Ð¾Ð·Ð²Ð¾Ð½Ð¾ÑÐ½Ð¾Ð³Ð¾ ÑÑÐ¾Ð»Ð±Ð°. Ð ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐµ Ð±ÑÐ»Ð¸ Ð¿ÑÐ¾Ð¸Ð·Ð²ÐµÐ´ÐµÐ½Ñ ÑÐ°ÑÑÑÑÑ ÑÑÑÑ Ð¼Ð¾Ð´ÐµÐ»ÐµÐ¹, Ð¿ÑÐ¾Ð²ÐµÑÐµÐ½Ð° ÑÑÐ¾Ð´Ð¸Ð¼Ð¾ÑÑÑ ÐºÐ¾Ð½ÐµÑÐ½Ð¾-ÑÐ»ÐµÐ¼ÐµÐ½ÑÐ½Ð¾Ð¹ Ð¼Ð¾Ð´ÐµÐ»Ð¸. ÐÑÑÐ²Ð¸Ð»Ð¸ Ð½Ð°Ð¸Ð±Ð¾Ð»ÐµÐµ Ð¾Ð¿Ð°ÑÐ½ÑÐµ Ð¼ÐµÑÑÐ°, Ð² ÐºÐ¾ÑÐ¾ÑÑÑ Ð½Ð°Ð±Ð»ÑÐ´Ð°ÑÑÑÑ Ð¼Ð°ÐºÑÐ¸Ð¼Ð°Ð»ÑÐ½ÑÐµ Ð·Ð½Ð°ÑÐµÐ½Ð¸Ñ Ð½Ð°Ð¿ÑÑÐ¶ÐµÐ½Ð¸Ð¹, ÑÑÐ°Ð²Ð½Ð¸Ð»Ð¸ Ð¾Ð±Ðµ Ð±Ð¾Ð»ÐµÐ·Ð½ÐµÐ½Ð½ÑÐµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ ÑÐ¾ Ð·Ð´Ð¾ÑÐ¾Ð²Ð¾Ð¹.
description: This given work is devoted to the study of the effect of dystrophic changes in the spine on its stress-strain state, under the influence of vertical load that occurs when performing a sports exercise in the form of squats. Tasks that were solved during the study: Ñreation of three different models of the spinal column: healthy, with dystrophic kyphosis and with dystrophic scoliosis, identification of the most dangerous places in the spinal column under the action of the load, comparison of results in models with diseases of the spine with a healthy model of the spinal column. The work was carried out in the software complexes Solidworks and Ansys. 3D models were built in Solidworks, in turn, all calculations were carried out in Ansys. The necessary information for the construction and loading was taken from existing works on this topic, as well as from various Internet resources in the public domain. Calculations were carried out showing clearly how diseases in the form of kyphosis and scoliosis affect the stress-strain state of the spinal column. As a result, calculations of three models were performed, the convergence of the finite element model was verified. We identified the most dangerous places where maximum stress values are observed, compared both painful models with healthy ones.