title: ÐÐ¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ðµ Ð·Ð°Ð²Ð¸ÑÐ¸Ð¼Ð¾ÑÑÐ¸ Ð´Ð¾Ð¿Ð¾Ð»Ð½Ð¸ÑÐµÐ»ÑÐ½Ð¾Ð³Ð¾ Ð¼Ð¾Ð´ÑÐ»Ñ ÑÐ¿ÑÑÐ³Ð¾ÑÑÐ¸ ÐºÑÐ¸Ð²Ð¾Ð»Ð¸Ð½ÐµÐ¹Ð½Ð¾Ð³Ð¾ ÑÑÐµÑÐ¶Ð½Ñ Ð¾Ñ Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÐ¾Ð² ÑÐµÑÐµÐ½Ð¸Ñ
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¼Ð°Ð³Ð¸ÑÑÑÐ°
titleType: Subtitle
Creators: name: Ð¡ÑÐ´Ð°ÑÑ, ÐÐ»ÐµÐºÑÐµÐ¹
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: 2020
Subjects: Ð¡ÑÐµÑÐ¶Ð½Ð¸ ÐºÑÐ¸Ð²Ð¾Ð»Ð¸Ð½ÐµÐ¹Ð½ÑÐµ
Ð¿Ð»Ð¾ÑÐºÐ¸Ð¹ ÐºÑÐ¸Ð²Ð¾Ð»Ð¸Ð½ÐµÐ¹Ð½ÑÐ¹ ÑÑÐµÑÐ¶ÐµÐ½Ñ
ÑÐµÐ¾ÑÐ¸Ñ ÑÑÐµÑÐ¶Ð½ÐµÐ¹
Ð¼Ð¾Ð´ÑÐ»Ñ Ð¶ÐµÑÑÐºÐ¾ÑÑÐ¸
ÑÐ¸ÑÐ»ÐµÐ½Ð½ÑÐ¹ ÑÐ°ÑÑÐµÑ
ÑÑÐµÑ Ð¼ÐµÑÐ½Ð°Ñ ÑÐµÐ¾ÑÐ¸Ñ

description: Ð Ð´Ð°Ð½Ð½Ð¾Ð¹ ÑÐ°Ð±Ð¾ÑÐµ ÑÐ°ÑÑÐ¼Ð°ÑÑÐ¸Ð²Ð°ÐµÑÑÑ Ð»ÐµÐ¶Ð°ÑÐ¸Ð¹ Ð² Ð¿Ð»Ð¾ÑÐºÐ¾ÑÑÐ¸ ÐºÑÐ¸Ð²Ð¾Ð»Ð¸Ð½ÐµÐ¹Ð½ÑÐ¹ ÑÑÐµÑÐ¶ÐµÐ½Ñ, ÑÐ¾ÑÐ¼Ð¾Ð¹ ÑÐµÑÐµÐ½Ð¸Ñ ÐºÐ¾ÑÐ¾ÑÐ¾Ð³Ð¾ ÑÐ²Ð»ÑÐµÑÑÑ Ð¿ÑÑÐ¼Ð¾ÑÐ³Ð¾Ð»ÑÐ½Ð¸Ðº. Ð¦ÐµÐ»ÑÑ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ ÑÐ²Ð»ÑÐµÑÑÑ Ð¾Ð¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ðµ Ð¾Ð´Ð½Ð¾Ð³Ð¾ Ð¸Ð· Ð½ÐµÐ¸Ð·Ð²ÐµÑÑÐ½ÑÑ Ð¼Ð¾Ð´ÑÐ»ÐµÐ¹ Ð¶ÐµÑÑÐºÐ¾ÑÑÐ¸ Ð² ÑÐµÐ¾ÑÐ¸Ð¸ ÑÑÐµÑÐ¶Ð½ÐµÐ¹ Ð.Ð. ÐÐ¸Ð»Ð¸Ð½Ð°. ÐÑÐ¾Ð°Ð½Ð°Ð»Ð¸Ð·Ð¸ÑÐ¾Ð²Ð°Ð½Ð¾ ÑÑÐ¸ Ð¼ÐµÑÐ¾Ð´Ð° Ð¾Ð¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ñ Ð´Ð°Ð½Ð½Ð¾Ð³Ð¾ ÑÐ¿ÑÑÐ³Ð¾Ð³Ð¾ Ð¼Ð¾Ð´ÑÐ»Ñ. ÐÐ°Ð½Ð½ÑÐµ Ð¼ÐµÑÐ¾Ð´Ñ Ð¾ÑÐ½Ð¾Ð²Ð°Ð½Ñ Ð½Ð° ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ð¸ Ð·Ð°Ð´Ð°Ñ ÑÐµÐ¾ÑÐ¸Ð¸ ÑÑÐµÑÐ¶Ð½ÐµÐ¹ Ñ Ð·Ð°Ð´Ð°ÑÐ°Ð¼Ð¸ ÑÐµÐ¾ÑÐ¸Ð¸ ÑÐ¿ÑÑÐ³Ð¾ÑÑÐ¸. Ð¡ Ð¿Ð¾Ð¼Ð¾ÑÑÑ ÐºÐ¾Ð½ÐµÑÐ½Ð¾-Â­ÑÐ»ÐµÐ¼ÐµÐ½ÑÐ½Ð¾Ð³Ð¾ Ð¿Ð°ÐºÐµÑÐ° ANSYS Ð¸ Ð¿Ð°ÐºÐµÑÐ° Ð¿ÑÐ¸ÐºÐ»Ð°Ð´Ð½ÑÑ Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼ MATLAB Ð¿ÑÐ¾Ð°Ð½Ð°Ð»Ð¸Ð·Ð¸ÑÐ¾Ð²Ð°Ð½Ð¾ 175 ÑÐ°ÑÑÐµÑÐ½ÑÑ Ð¼Ð¾Ð´ÐµÐ»ÐµÐ¹ ÑÑÐµÑÐ¶Ð½ÐµÐ¹ Ñ ÑÐ°Ð·Ð»Ð¸ÑÐ½ÑÐ¼Ð¸ ÑÐ°Ð·Ð¼ÐµÑÐ°Ð¼Ð¸ ÑÐµÑÐµÐ½Ð¸Ñ Ð¸ ÑÐ°Ð´Ð¸ÑÑÐ¾Ð¼ ÐºÑÐ¸Ð²Ð¸Ð·Ð½Ñ. ÐÑÑÑÐ½ÐµÐ½Ð¾, ÑÑÐ¾ ÑÐ¾ÑÐ½Ð¾ÑÑÑ Ð¾Ð¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ñ Ð¼Ð¾Ð´ÑÐ»Ñ Ð¶ÐµÑÑÐºÐ¾ÑÑÐ¸ Ð½Ð° Ð¸Ð·Ð³Ð¸Ð± Ð°ÑÐ¸Ð¼Ð¿ÑÐ¾ÑÐ¸ÑÐµÑÐºÐ¸Ð¼Ð¸ Ð¼ÐµÑÐ¾Ð´Ð°Ð¼Ð¸ Ð½Ðµ Ð²ÑÐµÐ³Ð´Ð° Ð¿Ð¾Ð·Ð²Ð¾Ð»ÑÐµÑ Ð¾Ð¿ÑÐµÐ´ÐµÐ»Ð¸ÑÑ Ð·Ð½Ð°ÑÐµÐ½Ð¸Ðµ Ð½ÐµÐ¸Ð·Ð²ÐµÑÑÐ½Ð¾Ð³Ð¾ Ð¼Ð¾Ð´ÑÐ»Ñ. Ð¡ Ð¿Ð¾Ð¼Ð¾ÑÑÑ ÑÐ¸ÑÐ»ÐµÐ½Ð½Ð¾Ð³Ð¾ ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÐ° Ð¾Ð¿ÑÐµÐ´ÐµÐ»ÐµÐ½ Ð¼Ð¾Ð´ÑÐ»Ñ Ð¶ÐµÑÑÐºÐ¾ÑÑÐ¸ Ð½Ð° Ð¸Ð·Ð³Ð¸Ð±, ÑÑÐ¾ Ð¿Ð¾Ð·Ð²Ð¾Ð»Ð¸Ð»Ð¾ Ð¾Ð¿ÑÐµÐ´ÐµÐ»Ð¸ÑÑ Ð½ÐµÐ¸Ð·Ð²ÐµÑÑÐ½ÑÐ¹ Ð¼Ð¾Ð´ÑÐ»Ñ. Ð£ÑÑÐ°Ð½Ð¾Ð²Ð»ÐµÐ½Ð¾, ÑÑÐ¾ Ð² ÑÐ»ÑÑÐ°Ðµ Ð¿ÑÑÐ¼Ð¾ÑÐ³Ð¾Ð»ÑÐ½Ð¾Ð³Ð¾ ÑÐµÑÐµÐ½Ð¸Ñ Ð½ÐµÐ¸Ð·Ð²ÐµÑÑÐ½ÑÐ¹ Ð¼Ð¾Ð´ÑÐ»Ñ Ð¶ÐµÑÑÐºÐ¾ÑÑÐ¸ Ð¿ÑÑÐ¼Ð¾ Ð¿ÑÐ¾Ð¿Ð¾ÑÑÐ¸Ð¾Ð½Ð°Ð»ÐµÐ½ Ð¼Ð¾Ð´ÑÐ»Ñ Ð¶ÐµÑÑÐºÐ¾ÑÑÐ¸ Ð½Ð° Ð¸Ð·Ð³Ð¸Ð±, ÐºÐ¾ÑÑÑÐ¸ÑÐ¸ÐµÐ½Ñ Ð¿ÑÐ¾Ð¿Ð¾ÑÑÐ¸Ð¾Ð½Ð°Ð»ÑÐ½Ð¾ÑÑÐ¸ ÑÐ°Ð²ÐµÐ½ 0,6 Ð¸ Ð½Ðµ Ð·Ð°Ð²Ð¸ÑÐ¸Ñ Ð¾Ñ ÑÐ°Ð·Ð¼ÐµÑÐ¾Ð² ÑÐµÑÐµÐ½Ð¸Ñ, ÑÐ°Ð´Ð¸ÑÑÐ° ÐºÑÐ¸Ð²Ð¸Ð·Ð½Ñ ÑÑÐµÑÐ¶Ð½Ñ Ð¸ ÐºÐ¾ÑÑÑÐ¸ÑÐ¸ÐµÐ½ÑÐ° ÐÑÐ°ÑÑÐ¾Ð½Ð°. ÐÐ°Ð½Ð½ÑÐµ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÑ Ð¼Ð¾Ð³ÑÑ Ð±ÑÑÑ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ñ Ð´Ð»Ñ Ð²ÑÑÐ¸ÑÐ»ÐµÐ½Ð¸Ñ Ð½Ð°Ð¿ÑÑÐ¶ÐµÐ½Ð½Ð¾-Ð´ÐµÑÐ¾ÑÐ¼Ð¸ÑÐ¾Ð²Ð°Ð½Ð½Ð¾Ð³Ð¾ ÑÐ¾ÑÑÐ¾ÑÐ½Ð¸Ñ ÐºÑÐ¸Ð²Ð¾Ð»Ð¸Ð½ÐµÐ¹Ð½ÑÑ ÑÑÐµÑÐ¶Ð½ÐµÐ²ÑÑ ÑÐ»ÐµÐ¼ÐµÐ½ÑÐ¾Ð².
description: In the given work lying in a plane curved rod with a rectangular cross section is considered. The aim of the study is to determine one of the unknown stiffness modules in the theory of rods P.A. Zhilin. Three methods for determining this stiffness modulus are analyzed. These methods are based on a comparison of the problems of the theory of rods with the problems of the theory of elasticity. Using the ANSYS finite element package and the MATLAB application package, 175 bar models with various section sizes and radius of curvature were analyzed. It was found that the accuracy of determining the bending stiffness modulus by asymptotic methods does not always allow us to determine the value of the unknown modulus. Using a numerical experiment, the bending stiffness modulus was determined, which made it possible to determine the unknown modulus. It was found that in the case of a rectangular cross section, the unknown stiffness modulus is directly proportional to the bending stiffness modulus, the proportionality coefficient is 0.6 and does not depend on the size of the cross section, the radius of curvature of the rod, and the Poissonâs ratio. These results can be used to calculate the stressÂ­strain state of curvilinear bar elements.