A VARIABLE-LENGTH BEAM ELEMENT INCORPORATING THE EFFECTS OF SPINNING

Authors

  • SHUAI YANG STATE KEY LABORATORY OF ROBOTICS AND SYSTEM, HARBIN INSTITUTE OF TECHNOLOGY, HARBIN, CHINA HTTP://ORCID.ORG/0000-0002-8225-3524
  • ZONGQUAN DENG STATE KEY LABORATORY OF ROBOTICS AND SYSTEM, HARBIN INSTITUTE OF TECHNOLOGY, HARBIN, CHINA
  • JING SUN BEIJING SPACECRAFTS MANUFACTURING FACTORY, CHINA ACADEMY OF SPACE TECHNOLOGY, BEIJING, CHINA
  • YANG ZHAO SCHOOL OF ASTRONAUTICS, HARBIN INSTITUTE OF TECHNOLOGY, HARBIN, CHINA
  • SHENGYUAN JIANG STATE KEY LABORATORY OF ROBOTICS AND SYSTEM, HARBIN INSTITUTE OF TECHNOLOGY, HARBIN, CHINA

Keywords:

BEAM, CIRCULAR CROSS SECTION, ABSOLUTE NODAL COORDINATE FORMULATION, ARBITRARY LAGRANGIAN–EULERIAN DESCRIPTION, VARIABLE-LENGTH BEAM-SHAFT ELEMENT, SPINNING

Abstract

THIS PAPER PROPOSES A NOVEL VARIABLE-LENGTH BEAM ELEMENT THAT TAKES INTO ACCOUNT THE EFFECT OF BEAM SPINNING. THIS IS THE FIRST SUCH BEAM ELEMENT OF VARIABLE LENGTH BASED ON THE ABSOLUTE NODAL COORDINATE FORMULATION. IN ADDITION TO THE POSITION AND SLOPE VECTORS, THE ANGLES OF ROTATION AROUND THE ELEMENT AXIS OF CROSS SECTIONS THAT CONTAIN TWO NODES ARE INTRODUCED INTO THE ELEMENT COORDINATES TO DESCRIBE THE SPINNING OF AN ASSUMED EULER–BERNOULLI BEAM WITH CIRCULAR CROSS SECTION. THE MATERIAL COORDI-NATES OF THE TWO NODES ARE ALSO INCLUDED IN THE ARBITRARY LAGRAN-GIAN–EULERIAN DESCRIPTION USED FOR PREVIOUS ELEMENTS TO DESCRIBE THE VARYING ELEMENT LENGTH CAUSED BY MASS TRANSPORTATION AT THE BOUNDARIES. THE PROPOSED ELEMENT FACILITATES CONVENIENT AND EFFEC-TIVE NUMERICAL MODELING OF THE DYNAMICS OF A CIRCULAR-CROSS-SECTION BEAM WITH TRANSPORTATION BOUNDARIES AND THAT IS SPINNING. NU-MERICAL EXAMPLES DEMONSTRATE THAT THE PROPOSED ELEMENT CAN DESCRIBE THE DYNAMIC BEHAVIOR OF A CIRCULAR-CROSS-SECTION BEAM EFFECTIVELY. IN THE FIELD OF ENGINEERING, THIS NOVEL ELEMENT COULD BE USED IN THE DYNAMIC ANALYSIS OF DRILL STEMS, THE SLENDER WORKPIECE OF A CYLINDRICAL SHAFT DURING THE TURNING PROCESS, AND THE LEAD SCREW IN A BALL SCREW MECHANISM.

Author Biographies

SHUAI YANG, STATE KEY LABORATORY OF ROBOTICS AND SYSTEM, HARBIN INSTITUTE OF TECHNOLOGY, HARBIN, CHINA

SHUAI YANG IS A DOCTORAL CANDIDATE IN STATE KEY LABORATORY OF ROBOTICS AND SYSTEM OF HARBIN INSTITUTE OF TECHNOLOGY

ZONGQUAN DENG, STATE KEY LABORATORY OF ROBOTICS AND SYSTEM, HARBIN INSTITUTE OF TECHNOLOGY, HARBIN, CHINA

ZONGQUAN DENG IS A PROFESSOR AND DOCTORAL SUPERVISOR IN STATE KEY LABORATORY OF ROBOTICS AND SYSTEM OF HARBIN INSTITUTE OF TECHNOLOGY

JING SUN, BEIJING SPACECRAFTS MANUFACTURING FACTORY, CHINA ACADEMY OF SPACE TECHNOLOGY, BEIJING, CHINA

JING SUN IS A PROFESSOR AND DOCTORAL SUPERVISOR IN BEIJING SPACECRAFTS MANUFACTURING FACTORY OF CHINA ACADEMY OF SPACE TECHNOLOGY

YANG ZHAO, SCHOOL OF ASTRONAUTICS, HARBIN INSTITUTE OF TECHNOLOGY, HARBIN, CHINA

YANG ZHAO IS A PROFESSOR AND DOCTORAL SUPERVISOR IN SCHOOL OF ASTRONAUTICS OF HARBIN INSTITUTE OF TECHNOLOGY

SHENGYUAN JIANG, STATE KEY LABORATORY OF ROBOTICS AND SYSTEM, HARBIN INSTITUTE OF TECHNOLOGY, HARBIN, CHINA

SHENGYUAN JIANG IS A PROFESSOR AND DOCTORAL SUPERVISOR IN STATE KEY LABORATORY OF ROBOTICS AND SYSTEM OF HARBIN INSTITUTE OF TECHNOLOGY

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Published

2017-06-17

Issue

Vol. 14 No. 08 (2017)

Section

Articles

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