Scholarlink

This paper proposes two analytical methods for studying higher-order accelerations in rigid body plane motion: Euclidean tensors and their representation by complex numbers. The algebraic properties of the complex field with commutative and associative division algebra make this procedure more versatile. The equations that determine the higher-order acceleration field and their properties are presented. The results are in closed-form and coordinates-free. The properties of the velocity, acceleration, jerk, and jounce fields are determined using particular cases.

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Higher-Order Kinematics of Planar Rigid Motion by Euclidean Tensors and Complex Algebra. An Overview

  • 会议论文

  • 发表日期：

    2025年

查看全文
  • Daniel Condurache,
  • Mihail Cojocari,
  • Ionuț Popa

摘要

This paper proposes two analytical methods for studying higher-order accelerations in rigid body plane motion: Euclidean tensors and their representation by complex numbers. The algebraic properties of the complex field with commutative and associative division algebra make this procedure more versatile. The equations that determine the higher-order acceleration field and their properties are presented. The results are in closed-form and coordinates-free. The properties of the velocity, acceleration, jerk, and jounce fields are determined using particular cases.