TY - JOUR TI - Quaternions – alternative for Euler angles in kinematic analysis of machine mechanisms AU - Czyżewski, Tadeusz TI - Quaternions – alternative for Euler angles in kinematic analysis of machine mechanisms AB - The article presents some types of problems that can occur during solving the inverse kinematics and the steps to prevent them. These problems concern the numerical singularities which occur when Euler angles are used to describe the orientation of the mechanism links in space. This paper proposes to eliminate the mentioned numerical singularities by replacing Euler angles with quaternions. The discussed issues were shown on the example of a backhoe excavator equipment system. VL - 2015 IS - Mechanika Zeszyt 2-M (7) 2015 PY - 2016 SN - 0011-4561 C1 - 2353-737X SP - 19 EP - 26 UR - https://ejournals.eu/czasopismo/czasopismo-techniczne/artykul/quaternions-alternative-for-euler-angles-in-kinematic-analysis-of-machine-mechanisms KW - quaternions KW - Euler angles KW - inverse kinematics