One parameter model for error in instantaneous centre of rotation measurements

Area of Science:

• Kinematics
• Statistical analysis
• Mechanical engineering

Background:

• Statistical distributions often use a single parameter to describe data spread.
• Kinematic studies of the instantaneous center of rotation (ICR) can yield non-symmetrical data distributions due to experimental errors.
• Analyzing the spread of ICR data traditionally requires complex methods.

Purpose of the Study:

• To simplify the analysis of non-symmetrical data distributions in ICR studies.
• To develop a single-parameter model for describing the spread of ICR.
• To introduce a convenient tool for experimental data analysis in kinematics.

Main Methods:

• Reduced the analytical form of the probability density function to a single-parameter model.
• Applied this model to data from kinematic studies of ICR.
• Developed an 'ICR Error Chart' based on the model.

Main Results:

• Successfully created a single-parameter model for ICR data spread.
• The model effectively describes the non-symmetrical distribution of ICR.
• The 'ICR Error Chart' provides a convenient method for data analysis.

Conclusions:

• The single-parameter model offers a simplified approach to analyzing ICR data spread.
• The 'ICR Error Chart' is a practical tool for kinematicians.
• This method aids in understanding experimental uncertainties in ICR determination.