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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Validation of a Novel Approach to Solving Multibody Systems Using Hamilton's Weak Principle

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

Hainge, Ashton D.
Air Force Institute of Technology

Paperback

Technology & EngineeringGeneral EducationPhysics

ISBN10: 1249397847
ISBN13: 9781249397847
Publisher: Biblioscholar
Published: Sep 14 2012
Pages: 116
Weight: 0.38
Height: 0.24 Width: 6.14 Depth: 9.21
Language: English
A novel approach for formulating and solving for the dynamic response of multibody systems has been developed using Hamilton's 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.

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