Results 51 to 60 of about 1,352,114 (197)

Legendre–Clebsch Condition for Functional Involving Fractional Derivatives with a General Analytic Kernel

Fractal and Fractional
Fractional calculus of variations for a broad class of fractional operators with a general analytic kernel function is considered. Using techniques from variational analysis, we derive first- and second-order necessary optimality conditions, namely the ...
Faïçal Ndaïrou
doaj   +1 more source

A Geometric Interpretation for the Algebraic Properties of Second‐Order Ordinary Differential Equations

Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6912-6917, April 2025.
ABSTRACT Nowadays, a substantial portion of investigations concerning the symmetry analysis of differential equations predominantly adhere to a framework comprising the following key procedures: (i) the derivation of symmetries, (ii) the determination of an optimal system, (iii) the utilization of these symmetries to construct invariants or ...
A. Paliathanasis, S. Moyo, P. G. L. Leach   +2 more
wiley   +1 more source

On the structure of minimizers of causal variational principles in the non-compact and equivariant settings [PDF]

, 2012
We derive the Euler-Lagrange equations for minimizers of causal variational principles in the non-compact setting with constraints, possibly prescribing symmetries.
Finster, Felix, Bernard, Yann
core   +1 more source

Enhanced Control Strategies for Residual‐Vibration Suppression and Adaptive Tracking in Flexible Manipulator Under Unknown Bounded Disturbances

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT This paper proposes a hybrid control strategy for flexible‐link manipulators that combines offline trajectory planning with adaptive tracking to suppress residual elastic vibration (REV) under unknown bounded disturbances. A rigid–flexible coupling dynamics model is first established using the floating‐frame method and Lagrange's equations ...
Mingming Shi, Bao Rong, Xiaoting Rui, Guoping Wang, Xiaoli Dong, Xin Zhao   +5 more
wiley   +1 more source

Design and Multibody Dynamics Modeling of a Novel High‐Static‐Low‐Dynamic‐Stiffness Vibration Isolation Mechanism Based on Euler Buckling Characteristics

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT Vibration isolation has long been a critical area of research, with the design of isolators based on the mechanical properties of Euler buckling beams representing one of the primary approaches. Traditionally, the focus has been on utilizing the negative stiffness characteristics of a post‐buckled Euler beam in parallel with positive stiffness
Yichang Feng, Yongpeng Gu, Gexue Ren, Suyuan Yu   +3 more
wiley   +1 more source

New Applications of a Kind of Infinitesimal-Operator Lie Algebra

Advances in Mathematical Physics, 2016
Applying some reduced Lie algebras of Lie symmetry operators of a Lie transformation group, we obtain an invariant of a second-order differential equation which can be generated by a Euler-Lagrange formulism.
Honwah Tam, Yufeng Zhang, Xiangzhi Zhang
doaj   +1 more source

An Approach for Computationally Efficient Yet Accurate Modeling of Vibrating Machines With Neidhart Springs

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT Accurate modeling of vibrating machines equipped with Neidhart springs is challenging due to the strong nonlinearities introduced by the elastomer–metal torsional elements and the constraints imposed by their kinematic arrangement. Multibody modeling methodologies for such vibrating machines are often computationally demanding, thus limiting ...
Davide Galli, Veit Gufler, Andrea Giusti, Renato Vidoni   +3 more
wiley   +1 more source

Feedback Linearisation with State Constraints

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT Feedback Linearisation (FBL) is a widely used technique that applies feedback laws to transform input‐affine nonlinear control systems into linear control systems, allowing for the use of linear controller design methods such as pole placement.
Songlin Jin, Yuanbo Nie, Morgan Jones
wiley   +1 more source

Hexapod Locomotion Across Structured and Unstructured Terrains: A Data‐Driven Review of Modeling, Control, and Validation

Journal of Field Robotics, EarlyView.
ABSTRACT The design of a hexapod is complex and requires integration between kinematic models, control systems, and sensing. Existing literature has reviewed these sub‐systems in isolation. Since 2021, there has been no review of the field despite significant advancements in soft soil, lunar traversal, and artificial intelligence.
Akhil Rampersad, Bashan Naidoo
wiley   +1 more source

Revealing Airflow–Particle Dynamics in Dry Powder Inhalers

Small, EarlyView.
An integrated framework combining device and formulation characterization, CFD–DEM simulations, and interpretable machine learning is established. This framework reveals how airflow and particle interactions govern powder dispersion across prevailing dry powder inhalers.
Jiale Chen, Ziyi Fan, Qingliang Yang, Yuanyuan Shao, Dongbing Li, Xiaoyang Wei, Xiang Luo, Kaiqi Shi, Gang Yang, Gensheng Yang, Ying Ma, Yuqing Ye, Jesse Zhu   +12 more
wiley   +1 more source