Yu. N. Chelnokov

About

Yu. N. Chelnokov is a specialist in theoretical and applied mechanics, with a research focus centered on the mathematical foundations of rigid body motion, kinematic control theory, and robotics. His work is distinguished by the sophisticated application of quaternion and biquaternion algebra — powerful mathematical frameworks that elegantly encode both rotational and translational motion in three-dimensional space — to solve complex problems in mechanics and robotic engineering. Chelnokov's most influential contribution, his 2013 paper on biquaternion solutions to kinematic control problems (cited 13 times), established a rigorous mathematical approach to guiding a rigid body along prescribed trajectories with defined velocity screws, with direct applications to robot-manipulator inverse kinematics. This foundational work spawned a series of studies, including his two-part investigation of the Stanford robot arm, where he demonstrated how dual matrices and biquaternions can solve both direct and inverse kinematics problems with notable computational elegance. His subsequent theoretical reviews (2017) consolidate a unified framework for kinematic motion control applicable to free rigid bodies undergoing combined rotational and translational movement. While his citation counts are modest, Chelnokov's work represents a mathematically rigorous niche contribution that provides robotics researchers and control engineers with powerful analytical tools grounded in advanced algebraic geometry.

Research Focus

Key Achievements

Top Papers

1. 1
   Biquaternion solution of the kinematic control problem for the motion of a rigid body and its application to the solution of inverse problems of robot-manipulator kinematics

   13 citations · 2013
2. 2
   Application of the Theory of Kinematic Motion Control of a Rigid Body

   5 citations · 2017
3. 3
   Solution to the Problems of Direct and Inverse Kinematics of the Robots-Manipulators Using Dual Matrices and Biquaternions on the Example of Stanford Robot Arm. Part 2

   4 citations · 2015
4. 4
   Theory of Kinematic Motion Control of a Rigid Body

   2 citations · 2017
5. 5
   Solution to the Problems of Direct and Inverse Kinematics of the Robots-Manipulators Using Dual Matrices and Biquaternions on the Example of Stanford Robot Arm. Part 1

   2 citations · 2015

Key Collaborators

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