Aerodynamic-Dynamic Interactions and Multi-Body Formulation of Flapping Wing Dynamics: Part II Trim and Stability Analysis

2017 ◽  
Author(s):  
Ahmed M. Hassan ◽  
Haitham E. Taha
Keyword(s):  
Stability Analysis ◽  
Flapping Wing ◽  
Dynamic Interactions ◽  
Body Formulation ◽  
Multi Body

A Large Displacement Formulation Using Euler’s Angles

1999 ◽  
Author(s):  
G. Biakeu ◽  
F. Thouverez ◽  
J. P. Laine ◽  
L. Jezequel
Keyword(s):  
Kinetic Energy ◽  
Equations Of Motion ◽  
Static Solution ◽  
Element Formulation ◽  
First Order ◽  
Nonlinear Relation ◽  
Newton Raphson ◽  
Body Formulation ◽  
Multi Body ◽  
Euler’S Angles

Abstract The goal of this paper is to present a flexible multi-body formulation involving large displacements. This method is based on a separate discretisation of the kinetic and the internal energies. To introduce flexibility, we discretize the structure in elements (of two nodes): on each element of the beam discretisation, the local frame is defined using Euler’s angles. A finite element formulation is then applied to describe the evolution of these angles along the beam neutral fibre. For the kinetic energy, each element is cut into two rigid bars whose characteristics are given by a first order Taylor factorisation on the general kinetic energy expression. These bars are linked by a nonlinear relation. We obtain the equations of motion by applying the Lagrange’s equations to the system. These equations are solved using the Newmark method in dynamic and a Newton-Raphson technique while looking for a static solution. The method is then applied to very classic problems such as the curved beam problem proposed by authors such as Simo [6, 9], Lee [4] or the rotational rod presented by Avello [1] and Simo [7, 8] etc...

Motorcycle Modeling with SimMechanics

2012 ◽  
Vol 605-607 ◽  
pp. 673-678
Author(s):  
Hai Dong Wu ◽  
Hai Bin Xu
Keyword(s):  
Virtual Reality ◽  
Stability Analysis ◽  
Modeling Technique ◽  
Driver Model ◽  
Vehicle Handling ◽  
Multi Body

A new motorcycle multi-body modeling technique with SimMechanics was presented which can be used in vehicle handling and stability analysis. The established model included tyre nonlinear characters and vehicle frame compliance. Combining with motorcycle driver model, established in Simulink, a typical vehicle handling test was implemented. With Simulink Virtual Reality, the animation of the motorcycle test was realized.

scholarly journals Dynamic Analysis of an Array of Connected Floating Breakwaters

2019 ◽  
Vol 7 (9) ◽  
pp. 298 ◽  
Author(s):  
Ćatipović ◽  
Ćorak ◽  
Alujević ◽  
Parunov
Keyword(s):  
Dynamic Analysis ◽  
Frequency Domain ◽  
Stiffness Matrix ◽  
Three Dimensional ◽  
Equation Of Motion ◽  
Three Dimensions ◽  
Body Formulation ◽  
Multi Body ◽  
Floating Breakwaters

In this paper, a model for dynamic analysis of array of floating breakwaters is developed and tested. Special attention is given to modeling connections between neighboring elements of the array. A linear three-dimensional floating multi-body formulation is used as a foundation for the presented model. An additional stiffness matrix is derived which introduces the influence of the connections onto motion of the array. The stiffness matrix is used to couple motions in vertical and horizontal planes i.e. the connections are modeled in three-dimensions. The equation of motion is solved in the frequency domain. The newly developed model is tested on an array of three connected breakwaters. The motion and the performance of the breakwater array are investigated under different significant heights and directions of the incoming waves.

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