Results 121 to 130 of about 32,160 (207)

Simultaneous Inversion for Underactuated Mechanical Systems with Servo‐Constraints

open access: yesProceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.
ABSTRACT The dynamic inversion of underactuated mechanical systems can be formulated in the servo‐constraint framework using a set of differential‐algebraic equations (DAEs). In case of a high differentiation index, the inversion‐based feedforward control design poses significant challenges.
Tengman Wang
wiley   +1 more source

Second‐Order Optimality Conditions in a New Lagrangian Formulation for Optimal Control Problems

open access: yesProceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.
ABSTRACT It has been shown recently that optimal control problems with the dynamical constraint given by second‐order system admit a regular Lagrangian formulation. This implies that the optimality conditions can be obtained in a new form based on the variational approach.
Michael Konopik   +4 more
wiley   +1 more source

Addressing Common Learning Obstacles in Mechanics Through Automated STACK Assignments: An Experience Report

open access: yesProceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.
ABSTRACT In undergraduate engineering education, foundational courses in engineering mechanics pose considerable challenges for students due to the abstract and analytical nature of the subject matter. To enhance learning outcomes and provide immediate, formative feedback, automated STACK assignments incorporating the MECLIB library for parameterized ...
Ulrich Zwiers   +2 more
wiley   +1 more source

Generalized Euler-Lagrange Equations for Variational Problems with Scale Derivatives

open access: yes
We obtain several Euler-Lagrange equations for variational functionals defined on a set of Hölder curves. The cases when the Lagrangian contains multiple scale derivatives, depends on a parameter, or contains higher-order scale derivatives are considered.
Almeida, R., Torres, D.F.M.
core   +1 more source

Existence of a weak solution for fractional Euler–Lagrange equations

open access: yes, 2013
International audienceWe derive sufficient conditions ensuring the existence of a weak solution u for fractional Euler-Lagrange equations of the type: ∂L/∂x (u,Dα−[u],t) + Dα+[ ∂L/∂y (u,Dα−[u],t) ] = 0, on a real interval [a, b] and where Dα− and Dα+ are
Bourdin, Loïc
core   +1 more source

Model Ambiguity versus Model Misspecification in Dynamic Portfolio Choice

open access: yesThe Journal of Finance, Volume 81, Issue 3, Page 1741-1795, June 2026.
ABSTRACT We study aversion to model ambiguity and misspecification in dynamic portfolio choice. Risk‐averse investors (relative risk aversion γ>1$\gamma > 1$) fear return persistence, while risk‐tolerant investors (0<γ<1$0<\gamma <1$) fear mean reversion, when confronting model misspecification concerns of identically and independently distributed (IID)
PASCAL J. MAENHOUT   +2 more
wiley   +1 more source

Sharp estimates for the Laplacian torsional rigidity with negative Robin boundary conditions

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.
Abstract Motivated by pioneering works of Bandle and Wagner, given a bounded Lipschitz domain Ω⊂Rd$\Omega \subset \mathbb {R}^d$ with d⩾3$d\geqslant 3$, we consider the Robin–Laplacian torsional rigidity τα(Ω)$\tau _\alpha (\Omega)$ with negative boundary parameter α$\alpha$ and we show that sharp inequalities for τα(Ω)$\tau _\alpha (\Omega)$ hold if ...
Nunzia Gavitone   +2 more
wiley   +1 more source

Parametric Model Order Reduction by Box Clustering With Applications in Mechatronic Systems

open access: yesInternational Journal for Numerical Methods in Engineering, Volume 127, Issue 10, 30 May 2026.
ABSTRACT High temperatures and structural deformations can compromise the functionality and reliability of new components for mechatronic systems. Therefore, high‐fidelity simulations (HFS) are employed during the design process, as they enable a detailed analysis of the thermal and structural behavior of the system.
Juan Angelo Vargas‐Fajardo   +4 more
wiley   +1 more source

Equilibrium Shapes with Stress Localisation for Inextensible Elastic Mobius and Other Strips

open access: yes, 2015
We formulate the problem of finding equilibrium shapes of a thin inextensible elastic strip, developing further our previous work on the Möbius strip. By using the isometric nature of the deformation we reduce the variational problem to a second-order ...
van der Heijden, GHM, Starostin, EL
core  

Invariant Euler-Lagrange Equations for Variational Problems Defined over Framed Curves in Two and Three Dimensions [PDF]

open access: yes, 2019
University of Minnesota Ph.D. dissertation. June 2019. Major: Mathematics. Advisor: Peter Olver. 1 computer file (PDF); iii, 74 pages.This thesis focuses on deriving and understanding the invariant Euler-Lagrange equations for variational problems ...
Broomfield, James Robert Patrick
core  

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