Results 41 to 50 of about 973 (287)
Nature, 1903 As most of the standard treatises on dynamics contain satisfactory proofs of Lagrange's equations, I do not see that any useful purpose is served by proposing an additional one. The important point is this:—That amongst the numerous forms in which the kinetic energy of a dynamical system can be expressed, there is only one form which can be employed in
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Advanced Materials Technologies, EarlyView.The study considers the use of polymer/dielectric‐based multilayers piezoelectric Energy Harvesters (EH) to produce an output voltage and current, by exploiting the mechanical energy provided by human organs movements. In particular, the heart motion is considered from the kinematic viewpoint, and a multiphysics theoretical model is developed to assess
Hamdi Ezzin +5 more
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Advanced Robotics Research, EarlyView.A codesign multiobjective optimization framework was developed to enhance the morphology and controller of a snake‐like robot driven by artificial muscles. It improved planar locomotion, agility, and power efficiency. The approach optimized link geometry and controller gains, revealing that shorter muscles near joints and longer linkages maximize ...
Ayla Valles, Mahdi Haghshenas‐Jaryani
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The vibrational motion of a spring pendulum in a fluid flow
Results in Physics, 2020 In this work, the response of two degrees of freedom for a nonlinear dynamical model represented by the motion of a damped spring pendulum in an inviscid fluid flow is investigated.
M.A. Bek +4 more
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Lagrange and the Solution of Numerical Equations
Historia Mathematica, 2001 J.-L. Lagrange's work on the solution of numerical polynomial equations occupies the bulk of this article, following on a brief reference to his writing on algebraic solutions in \textit{Réflexions sur la Résolution Algébrique des Equations}, 1770. The work on numerical equations extended over a long period (1769/1770-1798, revised 1808) and developed ...
Laubenbacher, Reinhard +2 more
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Hard‐Magnetic Soft Millirobots in Underactuated Systems
Advanced Robotics Research, EarlyView.This review provides a comprehensive overview of hard‐magnetic soft millirobots in underactuated systems. It examines key advances in structural design, physics‐informed modeling, and control strategies, while highlighting the interplay among these domains.
Qiong Wang +4 more
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Resonance in the Cart-Pendulum System—An Asymptotic Approach
Applied Sciences, 2021 The major objective of this research is to study the planar dynamical motion of 2DOF of an auto-parametric pendulum attached with a damped system. Using Lagrange’s equations in terms of generalized coordinates, the fundamental equations of motion (EOM ...
Wael S. Amer +3 more
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Lagrange’s equations in nonholonomic mechanics [PDF]
Nelineinaya Dinamika, 2013 Summary: The question on possibility of writing the equations of motion of a nonholonomic system in the form of Lagrange's equations of the 2nd kind for the minimal number of parameters is considered. The corresponding results of \textit{J. Hadamard} [Bordeaux Mém. (4) V. 397--417 (1895; JFM 26.0849.02)] and \textit{H. Béghin} [Bull. Soc. Math. Fr. 57,
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The Schwarzian derivative and Euler–Lagrange equations
Journal of Geometry and Physics, 2022 We study the Schwarzian derivative from a variational viewpoint. Firstly we show that the Schwarzian derivative defines a first integral of the Euler--Lagrange equation of a second order Lagrangian. Secondly, we show that the Schwarzian derivative itself is the Euler--Lagrange operator for an appropriately chosen class of variations.
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A Review on Sensor Technologies, Control Approaches, and Emerging Challenges in Soft Robotics
Advanced Robotics Research, EarlyView.This review provides an introspective of sensors and controllers in soft robotics. Initially describing the current sensing methods, then moving on to the control methods utilized, and finally ending with challenges and future directions in soft robotics focusing on the material innovations, sensor fusion, and embedded intelligence for sensors and ...
Ean Lovett +5 more
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