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Application of Euler–Newton homotopy method for azeotrope prediction in vacuum distillation
This paper presents a method to predict azeotrope for binary alloys under vacuum conditions based on the Euler–Newton homotopy method and the Wilson...
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Generalized Newton-Busemann Law for Two-dimensional Steady Hypersonic-limit Euler Flows Passing Ramps with Skin-frictions
By considering Radon measure solutions for boundary value problems of stationary non-isentropic compressible Euler equations on hypersonic-limit...
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Newton vs. Euler–Lagrange approach, or how and when beam equations are variational
There is a clear and compelling need to correctly write the equations of motion of structures in order to adequately describe their dynamics. Two...
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Newton-Euler Dynamics for a 3-UPU Parallel Robot in Screw Coordinates
This paper investigates Newton-Euler dynamics in Screw coordinates for a parallel robot. In Screw coordinates, we get the absolute displacement...
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A Differentiable Newton–Euler Algorithm for Real-World Robotics
The identification of dynamical systems from data is a powerful tool in robotics [3]. Learned analytic models may be used for control synthesis and...
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Complex Dynamics of the Implicit Maps Derived from Iteration of Newton and Euler Methods
Special exotic class of dynamical systems—the implicit maps—is considered. Such maps, particularly, can appear as a result of using of implicit and...
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Robust inverse dynamics by evaluating Newton–Euler equations with respect to a moving reference and measuring angular acceleration
Maintaining stability while walking on arbitrary surfaces or dealing with external perturbations is of great interest in humanoid robotics research....
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Finite difference based stress integration algorithm for crystal plasticity finite element method
In this study, we present a Finite Difference Method (FDM)-based stress integration algorithm for Crystal Plasticity Finite Element Method (CPFEM)....
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Modelling of a 12-DoF Parachute–Riser–Payload system dynamics using Kane’s method
The dynamic behaviour of parachutes is highly complex and characterised by non-linear, time-dependant, Fluid–Structure Interactions, which is...
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The Recursive Newton-Euler Algorithm
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High-Order CENO Finite-Volume Scheme with Anisotropic Adaptive Mesh Refinement: Efficient Inexact Newton Method for Steady Three-Dimensional Flows
A high-order finite-volume scheme with anisotropic adaptive mesh refinement (AMR) is combined with a parallel inexact Newton method for the solution...
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Study on the Dynamic Rollover Indicators of Tractor Semi-trailer Vehicle While Turning Maneuvers Based on Multibody System Dynamics Analysis and Newton-Euler Equations
Tractor semi-trailer vehicle often poses serious highway safety risks due to its excessive weight, larger dimensions, directional and roll stability...
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Fitted numerical method for singularly perturbed Burger–Huxley equation
This paper deals with the numerical treatment of a singularly perturbed unsteady Burger–Huxley equation. We linearize the problem using the...
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Simulation of generally shaped 3D elastic body dynamics with large motion using transfer matrix method incorporating model order reduction
The multibody system transfer matrix method (MSTMM) is an efficient formalism for systems involving rigid bodies and simple elastic elements like...
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A Novel Dynamic Model of the Straight Beam Using the Rigid Body Element Method
In this paper, a novel dynamic model of the straight beam is proposed based on the rigid body element (RBE) method. Firstly, the beam is divided into...
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An In-Bore Projectile and a Flexible Tube Seen as a Superelement in Launch Dynamics Using Reduced Multibody System Transfer Matrix Method
Launch dynamics of multibody systems (LDMS) studies the forces and motions of the rigid-flexible coupled multibody system composed of an artillery...
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Research on Dynamic Modeling and Distributed Cooperative Control Method of Dumbbell-Shaped Spacecraft
PurposeTo suppress the vibration of dumbbell-shaped spacecraft by combining distributed cooperative control (DCC) and component synthesis vibration...
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What is Method?
As Timothy Reiss pointed out, in the Discours de la Méthode Descartes includes the description of two methods. The first is given in the second part...
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Design and dynamics modeling of a novel 2R1T 3-DOF parallel motion simulator
In this paper, a novel 3-DOF parallel motion simulator with two rotative and one translatory DOF is proposed and analyzed. The simulator can complete...
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Newton Method with Incomplete Linearization
The Newton method with incomplete linearization is developed for solving the invariance equation. It is the basis of an iterative construction of the...