Results 51 to 60 of about 973 (287)
Advanced Robotics Research, EarlyView.Pak Biawak, a necrobot, embodies an unusual fusion of biology and robotics. Designed to repurpose natural structures after death, it challenges conventional boundaries between nature and engineering. Its movements are precise yet unsettling, raising questions about sustainability, ethics, and the untapped potential of biointegrated machines.
Leo Foulds +2 more
wiley +1 more source
On the validity of the Euler–Lagrange equation
Journal of Mathematical Analysis and Applications, 2005 The authors deal with the variational problem \[ J(x)=\int^b_aL\bigl (t,x(t),x'(t)\bigr)\,dt\to\min\quad \bigl(x(a)=A,x(b)=B\bigr) \] in the space \(M\) of absolutely continuous vector-valued functions \(x(t)\in \mathbb{R}^n\) \((a\leq t\leq b)\). Let \(\widehat x(t)\) be a local weak minimizer. Assumptions: (i) \(\nabla_xL(.,\widehat x(.),\widehat x'(.
A. FERRIERO, MARCHINI, ELSA MARIA
openaire +3 more sources
On formal integration of Lagrange's planetary equations of motion [PDF]
, 2021 In order to solve the Lagrangian differential equations of motion the Fourier Integrals can be used. A special treatment for the so called secular terms of the disturbing function is given for that object.Asociación Argentina de ...
Altavista, Carlos Alberto
core
Numerical Modeling of Photothermal Self‐Excited Composite Oscillators
Advanced Robotics Research, EarlyView.We present a numerical framework for simulating photothermal self‐excited oscillations. The driving mechanism is elucidated by highlighting the roles of inertia and overshoot, as well as the phase lag between the thermal moment and the oscillation angle, which together construct the feedback loop between the system state and the environmental stimulus.
Zixiao Liu +6 more
wiley +1 more source
Dynamics of a rotating hollow FGM beam in the temperature field
Reviews on Advanced Materials Science, 2021 Dynamic responses and vibration characteristics of a rotating functionally graded material (FGM) beam with a hollow circular cross-section in the temperature field are investigated in this paper.
Wang Yaolun +4 more
doaj +1 more source
On Euler-Lagrange's Equations: A New Approach
TEMA (São Carlos), 2020 A new formalism is proposed to study the dynamics of mechanical systems composed of N connected rigid bodies, by introducing the concept of $6N$-dimensional composed vectors. The approach is based on previous works by the authors where a complete formalism was developed by means of differential geometry, linear algebra, and dynamical systems usual ...
G. E. O. Giacaglia, W. Q. Lamas
openaire +4 more sources
An Alternative Derivation of the Quaternion Equations of Motion for Rigid-Body Rotational Dynamics
, 2010 International audienceThis note provides a direct method for obtaining Lagrange's equations describing the rotational motion of a rigid body in terms of quaternions by using the so-called fundamental equation of constrained ...
Schutte, Aaron, Udwadia, Firdaus
core +1 more source
A Perspective on Interactive Theorem Provers in Physics
Advanced Science, EarlyView.Into an interactive theorem provers (ITPs), one can write mathematical definitions, theorems and proofs, and the correctness of those results is automatically checked. This perspective goes over the best usage of ITPs within physics and motivates the open‐source community run project PhysLean, the aim of which is to be a library for digitalized physics
Joseph Tooby‐Smith
wiley +1 more source
On the motion of a pendulum attached with tuned absorber near resonances
Results in Physics, 2018 In this paper, the motion of two degrees of freedom of a dynamical system consists of a simple pendulum attached with tuned absorber subject to harmonic excitation is investigated. The governing equations of motion are obtained using Lagrange’s equations
W.S. Amer, M.A. Bek, M.K. Abohamer
doaj +1 more source
AI‐Physics‐Experiment Trinity for Integrated Protein Dynamics Modeling
Advanced Science, EarlyView.This review unites experiments, physics‐based simulations, and AI as a synergistic triad for protein dynamics modeling. It highlights integrative strategies, resolves sampling and forcefield bottlenecks, and outlines challenges and future directions for accurate, interpretable conformational ensemble prediction.
Chen Shi +4 more
wiley +1 more source