Results 51 to 60 of about 3,075 (201)

Rocking and Rolling of Rigid Polygons Under Seismic Excitation

Earthquake Engineering &Structural Dynamics, EarlyView.
ABSTRACT We present an event driven analytical framework for rigid cyclic polygons subjected to horizontal ground excitation in which uplift, impact, and successive pivot switching are treated within a unified non‐smooth dynamical description. Rolling is defined as a sequence of energetically admissible transitions between neighbouring vertices tied to
Atif Rasheed, Christian Málaga‐Chuquitaype   +1 more
wiley   +1 more source

A Mathematical and Numerically Integrable Modeling of 3D Object Grasping under Rolling Contacts between Smooth Surfaces

Modelling and Simulation in Engineering, 2011
A computable model of grasping and manipulation of a 3D rigid object with arbitrary smooth surfaces by multiple robot fingers with smooth fingertip surfaces is derived under rolling contact constraints between surfaces.
Suguru Arimoto, Morio Yoshida
doaj   +1 more source

Immersed Boundary Projection Method for Boundaries With Slip Velocities

International Journal for Numerical Methods in Fluids, EarlyView.
A formulation of the immersed boundary method for incompressible flow over arbitrarily‐shaped bodies with surface slip described by the Navier boundary condition is presented. The wall slip velocity and the boundary force are determined implicitly through a projection to satisfy both the boundary condition and the divergence‐free condition of the ...
Takehiro Fujii, Takeshi Omori
wiley   +1 more source

Generalized Lie symmetries and almost regular Lagrangians: a link between symmetry and dynamics

Journal of Physics Communications, 2023
The generalized Lie symmetries of almost regular Lagrangians are studied, and their impact on the evolution of dynamical systems is determined. It is found that if the action has a generalized Lie symmetry, then the Lagrangian is necessarily singular ...
Achilles D Speliotopoulos
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

The constraint-stabilized implicit methods on Lie group for differential-algebraic equations of multibody system dynamics

Advances in Mechanical Engineering, 2019
The implicit methods on Lie group are developed for multibody system dynamics. To avoid the violation of the displacement, velocity and acceleration constraints of the nonlinear differential-algebraic equations, the constraint-stabilized equations on Lie
Jieyu Ding, Zhenkuan Pan, Wei Zhang
doaj   +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

Solving the geodesics on the ellipsoid as a boundary value problem

Journal of Geodetic Science, 2013
The geodesic between two given points on an ellipsoid is determined as a numerical solution of a boundary value problem. The secondorder ordinary differential equation of the geodesic is formulated by means of the Euler-Lagrange equation of the calculus ...
Panou G., Delikaraoglou D., Korakitis R.
doaj   +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