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Invited Lecture

Mar. 26, 2018Professor Vakhtang Putkradze
TitleVariational approach to inertia, dissipation, and constraints realization
AbstractWe consider the problem of dissipative systems where the main part of dynamics can be described by Lagrangian methods. Such problems are frequently encountered in mechanical and electrical engineering problems. We shall focus mainly on the mechanical analogues of fluid-structure interaction, especially in the presence of friction. Variational approaches are particularly useful for deriving equations for arbitrary lagrangians. We discuss a variational approach to the dynamics of porous media by incorporating viscous forces in the variational principle. To elucidate the physics and mathematics of the problem, we study some simplified cases such as a pendulum with a moving viscous droplet. We show that the analog of Darcy's law for porous media (velocity proportional to force) in these simplified models comes from the short-term convergence to a 'constraint manifold' in a singular perturbation problem and the following long-term dynamics on that manifold. The resulting Darcy's law can reduce to either holonomic or non-holonomic constraint for the motion, depending on the physical realization. We then discuss the relevance of our results to other dissipative systems and outline methods that can be useful for other applications in Mechanical and Electrical Engineering.
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FundingJSPS

Past (2006-)

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Oct.27, 2016Professor Juan M. Rivas-Davila (Stanford Univ)
Title
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Funding
June 7, 2016Prof. Hiroki Minami (NAIST)
TitleNoise shaping technique for control
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Funding
June 17, 2014Ayako Taniguchi(Osaka Univ.)
title
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Funding
Nov. 8, 2013Seminar
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Oct. 30. 2013Prof. Nejila Parspour (Institute of Electrical Energy Conversion, University of Stuttgart)
Contactless Energy Transfer - Physical principles, technological set up and existing systems
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Visitor
Oct. 15. 2013Prof. Igor Mezic (UCSB)
Analysis of Dynamical Systems Using Koopman Operator Methods
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CREST
Oct. 29. 2008Prof. Visarath In (San Diego State University)
Coupled Overdamped Bistable Systems and Applications
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KiDS & GCOE
Oct. 1, 2008Prof. Dr. Leo Lorenz (Infineon Technology)
Fast Switching Power Semiconductor Devices
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GCOE
Sept. 24, 2008Prof. Joachim Oberhammer (KTH Royal Institute of Technology)
FRF and microwave MEMS activities at KTH Royal Institute of Technology
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GCOE
May 23, 2008Prof. Ho Bun Chan (Univ. of Florida)
Fluctuational phenomena in micromechanical systems - from Casimir effect to activated switching
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GCOE
April 4, 2008Prof. Vakhtang Putkaradze (Colorado State Univ.)
Continuum models for self-organization of micro- and nano-particles and dynamical models for biological curves
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GCOE
Jun. 20, 2007Dr. Akio Hasegawa (ATR)
Wireless Networks and Their Nonlinearity
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Mar. 31, 2007Prof. Marian Wiercigroch (University of Aberdeen, College of Physical Sciences)
Dynamics of Non-smooth Systems
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Mar. 11, 2007Prof. Toru Namerikawa (Kanazawa University)
Topics on Control Engineering (in Japanese)
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Dec. 7, 2006Dr. Pawel Pilarcyzk (Kyoto University, Mathematics Department)
Computational Dynamics and Cubical Homology
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Aug. 17, 2006Prof. Igor Mezic (Mechanical Engineering Department, University of California, Santa Barbara)
Biomolecules as nonlinear oscillators: Life-enabling dynamics
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Jul. 12, 2006Prof. Vakhtang Putkaradze (Colorado State University, Mathematics Department)
Mathematical models of self-aggregation of particles at nano-scales (or cheerios at 50 nanometers)
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Jun. 23, 2006Prof. Juan Carlos Balda (University of Arkansas)
The Next Generation of Power Electronics Interfaces for High Power and High Voltage Distribution System Applications
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May. 23, 2006Prof. Alan Mantooth (University of Arkansas)
Silicon Carbide Research Into High-Voltage Power Electronics for Extreme Environments
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Last-modified: 2018-04-03 (Tue) 23:28:36 (230d)