Vibration mitigation of a model aircraft with high-aspect-ratio wings using two-dimensional nonlinear vibration absorbers

JD Brown, M Mustafa, KJ Moore - International Journal of Non-Linear …, 2024 - Elsevier
Abstract High-aspect-ratio (HAR) airplane wings have higher energy efficiency and present
an economical alternative to standard airplane wings. HAR wings have a high span and a …

A two-dimensional nonlinear vibration absorber using elliptical impacts and sliding

C Wang, JD Brown, A Singh, KJ Moore - Mechanical Systems and Signal …, 2023 - Elsevier
Highly flexible structures often exhibit multiple low-frequency modes of vibration in multiple
directions that vibrate with relatively high amplitudes. As a result, new two-dimensional …

Comparison of Kane's and Lagrange's methods in analysis of constrained dynamical systems

A Talaeizadeh, M Forootan, M Zabihi, HN Pishkenari - Robotica, 2020 - cambridge.org
Dynamic modeling is a fundamental step in analyzing the movement of any mechanical
system. Methods for dynamical modeling of constrained systems have been widely …

A fresh insight into Kane's equations of motion

HN Pishkenari, SA Yousefsani, AL Gaskarimahalle… - Robotica, 2017 - cambridge.org
With rapid development of methods for dynamic systems modeling, those with less
computation effort are becoming increasingly attractive for different applications. This paper …

[HTML][HTML] A novel computer-oriented dynamical approach with efficient formulations for multibody systems including ignorable coordinates

HN Pishkenari, S Heidarzadeh - Applied Mathematical Modelling, 2018 - Elsevier
Based on Lagrangian mechanics, we present a novel and computationally efficient set of
equations of motion in the matrix notation, for unconstrained or constrained mechanical …

Nonholonomic mechanics: A practical application of the geometrical theory on fibred manifolds to a planimeter motion

L Czudková, J Musilová - International Journal of Non-Linear Mechanics, 2013 - Elsevier
A geometrical theory of general nonholonomic mechanical systems on fibred manifolds and
their jet prolongations, based on so-called Chetaev-type constraint forces, was developed in …

Canonical Kane's equations of motion for discrete dynamical systems

AH Bajodah, DH Hodges - AIAA Journal, 2019 - arc.aiaa.org
The generalized inversion-based canonical equations of motion (CEOMs) for ideally
constrained discrete dynamical systems are introduced in the framework of Kane's method …

Determination of constraint forces for an offshore crane on a moving base

A Cibicik, O Egeland - 2018 5th International Conference on …, 2018 - ieeexplore.ieee.org
In this paper we propose an efficient method for calculating the forces of constraints in an
open-chain multibody system, like a robot mounted on a vehicle with 6 degrees of freedom …

Bond-graph representation of ideal constraints via the principle of virtual power

JR Phillips, F Amirouche - Multibody System Dynamics, 2024 - Springer
In this paper we develop bond-graph representations for ideal mechanical constraints, both
embedded and adjoined, by stating and applying the principle of virtual power, at the …

Symmetries and currents in nonholonomic mechanics

M Čech, J Musilová - Communications in Mathematics, 2014 - dml.cz
In this paper we derive general equations for constraint Noethertype symmetries of a first
order non-holonomic mechanical system and the corresponding currents, ie functions …