Modern problems of the theory of mechanisms and machines: Collection of scientific articles

This scientific and methodological manual is a comprehensive study in the theory of mechanisms and machines (TMM), covering 30 key topics: from classical mechanisms to robotic systems. The materials reflect the current trends of digitalization and automation of mechanical engineering for the period 2020-2026. The manual is structured in six sections. The first part covers the fundamentals: structural analysis of Assur groups, kinematics of lever systems and geometry of gears. Special attention is given to machine dynamics, balancing methods, and the influence of elastic deformations on the accuracy of movements.The innovation block includes manipulator mechanics, micromechanical systems (MEMS) and control principles of hydraulic-pneumatic actuators. The final section is devoted to computer modeling in CAD/CAE environments and the concept of "digital twins" of mechanisms. The publication is intended for engineering students, graduate students, and researchers. It combines rigorous academic theory with practical solutions for designing high-precision robots and optimizing production cycles. It serves as a modern guide to the analysis and synthesis of intelligent mechanical systems.