Welcome.
These pages describe some recent projects conducted in the nonlinear mechanics lab at Duke. They have some common threads. Many includes experiments, including the large deflection of elastic structural systems. A good deal of the applications of this research are associated with aerospace engineering. More recently 3D-printing has featured in this work.
In many ways linear models are atypical and often used due to analytic expediency. These webpages provide outline descriptions of research projects focused on nonlinear behavior, in which analytic, numerical and experimental approaches are developed.
Click on each of the research tabs to find a brief description of the work involved.
Meetings, conferences and seminars are an important aspect of research. Some images are included below:
IUTAM Symposium, Stuttgart, 1989
IUTAM Symposium, Cornell, 1997
Mode Jumping workshop, Duke, 2002
Differential Equations Conference, Duke, 2002
Vibrations of Continuous Systems, Lake District, 2007
Michael Thompson retirement, London, 2004
Nonlinear Vibrations Workshop, Duke, 2008
Nonlinear Vibrations Workshop, Duke, 2010
Mechanics of Slender Structures (MoSS), Baltimore, 2008
Mechanics of Slender Structures (MoSS), San Sabastian, 2010
Nonsmooth Systems, Bristol, 2004
Some group members at a wedding
A workshop on Exploiting Nonlinear Dynamics took place at CISM in Udine, Italy a few years ago. Here are the slides from four lectures:
- Introduction to dynamics and stability
- Nonlinear vibration
- Vibration isolation
- Other aspects of nonlinear dynamics
Another tutorial was held as part of an ASME conference in Portland, OR, also a few years ago. This same (4 hour) tutorial was also presented at the ASME-IDETC conference in Charlotte NC in August 2016. This was based almost entirely on the book Vibrations of Axially-Loaded Structures. Here are the slides from that:
- Vibration of axially loaded structures 1a
- Vibration of axially loaded structures 1b
- Vibration of axially loaded structures 1c
- Vibration of axially loaded structures 2
- Vibration of axially loaded structures 3
- Vibration of axially loaded structures 4
- Vibration of axially loaded structures 5
- Vibration of axially loaded structures 6