Thanks to Weingarten’s formulae [1], which date to 1861, the bending deformation of a Kirchhoff-Love shell can be characterized by examining the variation of the unit normal vector to the surface of the shell.
Dear Colleague,
I would be most grateful if you could advertise and promote the exciting news that the Department of Mechanical Engineering at UC Berkeley is currently seeking applications for a pair of tenure-track faculty positions:
If you have ever had to study and teach classical mechanics, then one of the challenges is to explain the equivalences of distinct formulations of the equations of motion for discrete mechanical systems. It is not transparent, particularly in the presence of constraints, how the Newton-Euler equations, Lagrange’s equations, Gibbs-Appell equations, Maggi's equations, Kane’s equations, Boltzmann-Hamel equations, and several other fomulations, are equivalent.
Hello,
Studies of the vibration of a rod in contact with a surface are central to a range of applications from MEMS devices to flexible ocean risers. In our latest paper,
Nate N. Goldberg and Oliver M. O'Reilly Pervasive nonlinear vibrations due to rod-obstacle contact, Nonlinear Dynamics, 2021
Dear Colleague,
The online resource on rotations,
http://rotations.berkeley.edu,
has been operational now for nearly 7 years and has been recently updated with material from the literature. Among the latest additions, we note the following subjects:
Dear Colleague,
Our latest work on the dynamics of rods contacting rigid surfaces has just appeared:
N. N. Goldberg and O. M. O'Reilly, On contact point motion in the vibration of elastic rods, Journal of Sound and Vibration, 2020.
Dear Colleague,
I'm pleased to announce the latest paper from my research group (coauthored with Evan Hemingway (PhD 2020)):
Continuous models for peristaltic locomotion with application to worms and soft robots
has just been published in Biomechanics and Modeling in Mechanobiology. Here's a simulation of the model:
Dear Colleague,
I’m delighted to announce that the second edition of my textbook “Intermediate Dynamics for Engineers Newton-Euler and Lagrangian Mechanics has just been published:
Dear Colleague,
In case you are getting tired of the holiday fare, you might enjoy a recent paper, coauthored with Nate Goldberg, on modeling the mechanics of spaghetti cooking that has just been published in Physical Review E:
https://journals.aps.org/pre/abstract/10.1103/PhysRevE.101.013001
Dear Colleague,
It is well known that the straight configuration of a flexible vertical riser conveying fluid destabilizes in a divergence-type buckling instability once the velocity of the transporting fluid exceeds a critical speed. To compute the critical velocity, the dynamics of small amplitude perturbations to the straight configuration are computed. If the perturbations are sufficiently small and the transport speed is above a critical value, then the instability of the vertical riser can be detected.
