title: ÐÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ðµ Ð´Ð¸ÑÑÐ¸Ð¿Ð°ÑÐ¸Ð²Ð½ÑÑ ÑÐ¾ÑÐ¼ ÐºÐ¾Ð»ÐµÐ±Ð°Ð½Ð¸Ð¹ Ð´Ð²Ð¾Ð¹Ð½Ð¾Ð³Ð¾ Ð¼Ð°ÑÑÐ½Ð¸ÐºÐ° Ð¸ Ð¾Ð¿ÑÐ¸Ð¼Ð¸Ð·Ð°ÑÐ¸Ñ ÐºÐ¾ÑÑÑÐ¸ÑÐ¸ÐµÐ½ÑÐ¾Ð² Ð²ÑÐ·ÐºÐ¾Ð³Ð¾ Ð´ÐµÐ¼Ð¿ÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð¸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
title: Research of dissipative forms of double pendulum oscillations and optimization of viscous damping coefficients
Creators: name: ÐÑÐ°Ð²ÑÐ¸Ð½ÑÐºÐ¸Ð¹, ÐÐ³Ð¾ÑÑ
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Ð°ÑÑÐ½Ð¸ÐºÐ¸
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double mathematical pendulum
dissipative oscillation forms of a double mathematical pendulum
optimal coefficients of viscous damping of a double pendulum
internal resonance of a double pendulum
the diagram of the dissipation of the modes of a double pendulum with viscous friction

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description: The topic of the final qualifying work: "The study of dissipative forms of oscillations of a double pendulum and optimization of viscous damping coefficients". The purpose of this work is to study the dissipative forms of oscillations of a double mathematical pendulum, as well as to find its optimal coefficients of viscous damping. Accordingly, the following tasks are solved in the course of work: - Obtaining an expression for potential energy. - Obtaining an expression for kinetic energy. - Getting an expression for the Rayleigh function. - Finding the frequency equation and using it to find the natural frequencies of vibrations. - Construction of a diagram of dissipative modes of a double mathematical pendulum. - Finding optimal coefficients of viscous damping. - Demonstration of the results obtained using the MATLAB software package Within the framework of this work, the eigenforms and frequencies of oscillations of a double mathematical pendulum were found and investigated, and a diagram of dissipative modes was also constructed. The results were checked for correctness by investigating a special case â the same coefficients of viscous damping and their absence in the links of the double pendulum. All the results obtained are demonstrated using the MATLAB software package. The results of this work can be used in biomechatronics and biomimetic systems. For example, the choice of viscous damping coefficients for optimal damping of system vibrations.