Modeling of shooter position using gordon’s method

Wan Nur Syazana Wan Zulkifli, Wan Rozita Wan Din, Azmin Sham Rambely

Research output: Contribution to journalArticle

Abstract

The objective of this study is to develop a mathematical biomechanical modeling of a shooter’s position while firing a rifle for accurate shooting using Gordon’s method. This model comprises of six kinematic chains of the arms that represent the right shoulder joint, right elbow joint, right wrist joint, left shoulder joint, left elbow joint and left wrist joint. All these segmental angles are built by referring to their respective reference frame. Gordon’s method is implemented in this study where it uses Kane’s method to formulate the n dynamic equations of motion for n -link planar linkage to be written down without having to derive them. The result can be produced in a short period of time and easier way compared to Kane’s method. In this work, Gordon’s method is applied in the formulation of dynamic equation of motion of 2- dimensional three kinematic closed chain for both right and left arms. The findings should provide the correct angles of elbows, shoulders and wrist for left and right arms of soldiers while aiming at the target. Torque will be calculated from the model developed and the results obtained can assist the army or sportsman in order to obtain the correct posture while aiming at the target.

Original languageEnglish
Pages (from-to)625-634
Number of pages10
JournalGlobal Journal of Pure and Applied Mathematics
Volume11
Issue number2
Publication statusPublished - 2015

Fingerprint

Equations of motion
Kinematics
Modeling
Dynamic Equation
Torque
Equations of Motion
Angle
Target
Shooting
Period of time
Mathematical Modeling
Linkage
Closed
Three-dimensional
Formulation
Model

Keywords

  • Angles
  • Gordon’s method
  • Modeling

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

Modeling of shooter position using gordon’s method. / Zulkifli, Wan Nur Syazana Wan; Din, Wan Rozita Wan; Rambely, Azmin Sham.

In: Global Journal of Pure and Applied Mathematics, Vol. 11, No. 2, 2015, p. 625-634.

Research output: Contribution to journalArticle

Zulkifli, Wan Nur Syazana Wan ; Din, Wan Rozita Wan ; Rambely, Azmin Sham. / Modeling of shooter position using gordon’s method. In: Global Journal of Pure and Applied Mathematics. 2015 ; Vol. 11, No. 2. pp. 625-634.
@article{cc7a032d5d0949b6a37c0abb8d9ec50e,
title = "Modeling of shooter position using gordon’s method",
abstract = "The objective of this study is to develop a mathematical biomechanical modeling of a shooter’s position while firing a rifle for accurate shooting using Gordon’s method. This model comprises of six kinematic chains of the arms that represent the right shoulder joint, right elbow joint, right wrist joint, left shoulder joint, left elbow joint and left wrist joint. All these segmental angles are built by referring to their respective reference frame. Gordon’s method is implemented in this study where it uses Kane’s method to formulate the n dynamic equations of motion for n -link planar linkage to be written down without having to derive them. The result can be produced in a short period of time and easier way compared to Kane’s method. In this work, Gordon’s method is applied in the formulation of dynamic equation of motion of 2- dimensional three kinematic closed chain for both right and left arms. The findings should provide the correct angles of elbows, shoulders and wrist for left and right arms of soldiers while aiming at the target. Torque will be calculated from the model developed and the results obtained can assist the army or sportsman in order to obtain the correct posture while aiming at the target.",
keywords = "Angles, Gordon’s method, Modeling",
author = "Zulkifli, {Wan Nur Syazana Wan} and Din, {Wan Rozita Wan} and Rambely, {Azmin Sham}",
year = "2015",
language = "English",
volume = "11",
pages = "625--634",
journal = "Global Journal of Pure and Applied Mathematics",
issn = "0973-1768",
publisher = "Research India Publications",
number = "2",

}

TY - JOUR

T1 - Modeling of shooter position using gordon’s method

AU - Zulkifli, Wan Nur Syazana Wan

AU - Din, Wan Rozita Wan

AU - Rambely, Azmin Sham

PY - 2015

Y1 - 2015

N2 - The objective of this study is to develop a mathematical biomechanical modeling of a shooter’s position while firing a rifle for accurate shooting using Gordon’s method. This model comprises of six kinematic chains of the arms that represent the right shoulder joint, right elbow joint, right wrist joint, left shoulder joint, left elbow joint and left wrist joint. All these segmental angles are built by referring to their respective reference frame. Gordon’s method is implemented in this study where it uses Kane’s method to formulate the n dynamic equations of motion for n -link planar linkage to be written down without having to derive them. The result can be produced in a short period of time and easier way compared to Kane’s method. In this work, Gordon’s method is applied in the formulation of dynamic equation of motion of 2- dimensional three kinematic closed chain for both right and left arms. The findings should provide the correct angles of elbows, shoulders and wrist for left and right arms of soldiers while aiming at the target. Torque will be calculated from the model developed and the results obtained can assist the army or sportsman in order to obtain the correct posture while aiming at the target.

AB - The objective of this study is to develop a mathematical biomechanical modeling of a shooter’s position while firing a rifle for accurate shooting using Gordon’s method. This model comprises of six kinematic chains of the arms that represent the right shoulder joint, right elbow joint, right wrist joint, left shoulder joint, left elbow joint and left wrist joint. All these segmental angles are built by referring to their respective reference frame. Gordon’s method is implemented in this study where it uses Kane’s method to formulate the n dynamic equations of motion for n -link planar linkage to be written down without having to derive them. The result can be produced in a short period of time and easier way compared to Kane’s method. In this work, Gordon’s method is applied in the formulation of dynamic equation of motion of 2- dimensional three kinematic closed chain for both right and left arms. The findings should provide the correct angles of elbows, shoulders and wrist for left and right arms of soldiers while aiming at the target. Torque will be calculated from the model developed and the results obtained can assist the army or sportsman in order to obtain the correct posture while aiming at the target.

KW - Angles

KW - Gordon’s method

KW - Modeling

UR - http://www.scopus.com/inward/record.url?scp=84944746624&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84944746624&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:84944746624

VL - 11

SP - 625

EP - 634

JO - Global Journal of Pure and Applied Mathematics

JF - Global Journal of Pure and Applied Mathematics

SN - 0973-1768

IS - 2

ER -