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A relativistic theory of the field II: Hamilton's principle and Bianchi's identities
Revista de Investigación de Física, 2021 As gravitation and electromagnetism are closely analogous long-range interactions, and the current formulation of gravitation is given in terms of geometry.
Mississippi Valenzuela
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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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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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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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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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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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Hamilton’s principle for dynamical elasticity
Applied Mathematics Letters, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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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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Hamilton’s principle for quasigeostrophic motion
Physics of Fluids, 1998 We show that the equation of quasigeostrophic (QG) potential vorticity conservation in geophysical fluid dynamics follows from Hamilton’s principle for stationary variations of an action for geodesic motion in the f-plane case or its prolongation in the β-plane case.
Holm, Darryl D., Zeitlin, Vladimir
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