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‘Uncertainty’ principle in two fluid–mechanics [PDF]
ESAIM: Proceedings and Surveys, 2020 Hamilton’s principle (or principle of stationary action) is one of the basic modelling tools in finite-degree-of-freedom mechanics. It states that the reversible motion of mechanical systems is completely determined by the corresponding Lagrangian which ...
Gavrilyuk Sergey
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Non-Linear Piezoelectric Actuator with a Preloaded Cantilever Beam
Micromachines, 2015 Piezoelectric actuation is widely used for the active vibration control of smart structural systems, and corresponding research has largely focused on linear electromechanical devices.
Yue Wu +4 more
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On the Origins of Hamilton’s Principle(s)
EncyclopediaThis entry first provides an overview of the historical, cultural and epistemological background that is key for Hamilton’s positions on mechanics. We consider the investigations on geometrical optics in the 17th and 18th centuries, Euler’s and Lagrange ...
Paolo Bussotti +2 more
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Non-local effect of eccentrically simply supported beam on free vibration
Forces in Mechanics, 2023 Based on the Euler-Bernoulli beam theory, the coupling effect between bending vibration mode shape and longitudinal vibration mode shape of the beam is analyzed when the beam is supported by eccentric simply supported.
Bojin Li +3 more
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Passivity Analysis of Nonlinear Euler-Bernoulli Beams [PDF]
Modeling, Identification and Control, 2002 The Lagrangian equations for distributed-parameter systems based on Hamilton's principle are developed. These equations are subsequently used to derive nonlinear models for beams. The passivity properties of the flexible mechanical systems based on their
Mehrdad P. Fard
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Civil and Environmental Science Journal, 2023 This paper studies the dynamic response of rectangular reinforced concrete plates on an elastic foundation by state space method. The system of differential equations of vibration of the plate is developed by using Hamilton's principle.
Nguyen Trong Hiep
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A Q‐Learning Algorithm to Solve the Two‐Player Zero‐Sum Game Problem for Nonlinear Systems
International Journal of Adaptive Control and Signal Processing, Volume 39, Issue 3, Page 566-581, March 2025.A Q‐learning algorithm to solve the two‐player zero‐sum game problem for nonlinear systems. ABSTRACT This paper deals with the two‐player zero‐sum game problem, which is a bounded L2$$ {L}_2 $$‐gain robust control problem. Finding an analytical solution to the complex Hamilton‐Jacobi‐Issacs (HJI) equation is a challenging task.
Afreen Islam +2 more
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Biomass Native Structure Into Functional Carbon‐Based Catalysts for Fenton‐Like Reactions
Advanced Functional Materials, EarlyView.This study indicates that eight biomasses with 2D flaky and 1D acicular structures influence surface O types, morphology, defects, N doping, sp2 C, and Co nanoparticles loading in three series of carbon, N‐doped carbon, and cobalt/graphitic carbon. This work identifies how these structural factors impact catalytic pathways, enhancing selective electron
Wenjie Tian +7 more
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Cooperation and Hamilton's rule in a simple synthetic microbial system
Molecular Systems Biology, 2010 A fundamental problem in biology is understanding the evolutionary emergence and maintenance of altruistic behaviors. A well‐recognized conceptual insight is provided by a general mathematical relation, Hamilton's rule.
John S Chuang +2 more
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Dynamic Post-Buckling Behavior
Transactions of the VŠB: Technical University of Ostrava, Civil Engineering Series, 2017 Geometric non-linear theory has been used to describe the post-buckling behavior of slender web. Hamilton’s principle in increments has been used. Examples of dynamic post-bucking behavior of slender web loaded in compression are presented.
Šnirc Ľuboš +2 more
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