• Skip to primary navigation
  • Skip to main content
  • Skip to primary sidebar
  • About Us
  • Research
  • People
  • Publications
  • News
  • Contact Us

Vibration Control, Electromechanics and Flow Lab VCEF

Texas A&M University College of Engineering

Formalism for the Rotation Matrix of Rotations About an Arbitrary Axis

Palazzolo, A. B.

January 1976

In this paper a formalism is developed that enables one to write down by inspection the matrix which represents the transformation between two coordinate systems, one of which is rotated by an angle theta about an arbitrary axis. Only the direction cosines of the rotation axis and theta need be known. it is pointed out that this transformation is not discussed in the usual treatments of classical mechanics.

 

Formalism for the Rotational Matrix of Rotations About an Arbitrary Axis

Recent Publications

  • An improved preloaded Curvic coupling model for rotordynamic analyses
  • Beam Based Rotordynamics Modelling for Preloaded Hirth, Curvic and Butt Couplings
  • CFD Turbulence Model and Experimental Study for a Fontan Cavopulmonary Assist Device
  • Swirl Brake Design for Improved Rotordynamic Vibration Stability Based on CFD System Level Modeling
  • Transient Rotordynamic Thermal Bow (Morton Effect) Modeling in Flexure-Pivot Tilting Pad Bearing Systems

© 2016–2025 Vibration Control, Electromechanics and Flow Lab VCEF Log in

Texas A&M Engineering Experiment Station Logo
  • College of Engineering
  • Facebook
  • Twitter
  • State of Texas
  • Open Records
  • Risk, Fraud & Misconduct Hotline
  • Statewide Search
  • Site Links & Policies
  • Accommodations
  • Environmental Health, Safety & Security
  • Employment