Analysis and algorithms for parametrization, optimization and customization of sled hockey equipment and other dynamical systems

A dynamical system, an ensemble of particles, states of which evolve over time, can be described using a system of ordinary/partial differential equations (ODEs/PDEs). This dissertation presents fundamental investigations of the analysis and algorithms for the study of dynamical systems, by parametrizing, optimizing and customizing. We develop and/or implement numerical algorithms, for solving ODEs/PDEs, and statistical/machine-learning algorithms based on data, for physical inference and prediction. We further apply the methodologies on sled hockey, an adaptation of stand-up hockey, allows people with physical disabilities to participate in the game of ice hockey. First, we develop and implement numerical algorithms to study the nonlinear dynamics described by 4th-order nonlinear PDEs. The non-linear solvers apply multidimensional Newton's method with a Jacobian-free approach and a generalized conjugate residual (GCR) approach.

Name thesis:degree_name

Doctoral

Department dc:contributor.department

Massachusetts Institute of Technology. Department of Mechanical Engineering

Grantor dc:publisher

Massachusetts Institute of Technology

Year dc:date.issued

2020

Author dc:creator

• Liang, Youzhi,Ph.D.Massachusetts Institute of Technology.

Advisor dc:contributor.advisor

• A.E. Hosoi.

• Mechanical Engineering.

Statement dc:rights

• MIT theses may be protected by copyright. Please reuse MIT thesis content according to the MIT Libraries Permissions Policy, which is available through the URL provided.

Licence dc:rights.uri

• http://dspace.mit.edu/handle/1721.1/7582

Language dc:language.iso

eng

Handle dc:identifier.uri

https://hdl.handle.net/1721.1/127727

OAI identifier oai:identifier

oai:dspace.mit.edu:1721.1/127727