Accession Number:

ADA516866

Title:

Validation of a Novel Approach to Solving Multibody Systems Using Hamilton's Weak Principle

Descriptive Note:

Master's thesis

Corporate Author:

AIR FORCE INST OF TECH WRIGHT-PATTERSON AFB OH DEPT OF AERONAUTICS AND ASTRONAUTICS

Personal Author(s):

• Hainge, Ashton D.

Report Date:

2010-03-01

Pagination or Media Count:

115.0

Abstract:

A novel approach for formulating and solving for the dynamic response of multibody systems has been developed using Hamiltons Law of Varying Action as its unifying principle. In order to assure that the associated computer program is sufficiently robust when applied across a wide range of dynamic systems, the program must be verified and validated. The purpose of the research was to perform the verification and validation of the program. Results from the program were compared with closed-form and numerical solutions of simple systems, such as a simple pendulum and a rotating pendulum. The accuracy of the program for complex systems for which there is no closed-form solution, such as a double pendulum and others, were assessed by calculating energy conservation and constraint violation. The results of this research confirm the validity of this novel approach to multibody system analysis, and pave the way for its application to increasingly complex configurations.

Descriptors:

• *COMPUTER PROGRAMS
• *HAMILTONIAN FUNCTIONS
• NUMERICAL ANALYSIS
• ACCURACY
• SOLUTIONS(GENERAL)
• CONFIGURATIONS
• SYSTEMS ANALYSIS
• ROTATION
• BODIES
• DYNAMIC RESPONSE
• DYNAMICS
• THESES

Subject Categories:

• Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE