Dynamic Modeling and Analysis of an Axially Moving and Spinning Rayleigh Beam Based on a Time-varying Element

2021 ◽  
Author(s):  
Shuai Yang ◽  
ajun Hu ◽  
Guidong Mo ◽  
Xingwang Zhang ◽  
Junjie Qin ◽  
...  
Keyword(s):  
Dynamic Modeling ◽  
Time Varying ◽  
Modeling And Analysis ◽  
Rayleigh Beam ◽  
Axially Moving

Dynamic Modeling and Analysis of Three-Dimensional Slack Cables With Application to Elevator Traveling Cables

2015 ◽  
Author(s):  
W. D. Zhu ◽  
Y. G. Mao ◽  
G. X. Ren
Keyword(s):  
Dynamic Modeling ◽  
Equations Of Motion ◽  
Three Dimensional ◽  
Beam Theory ◽  
Differential Algebraic Equations ◽  
Dynamic Responses ◽  
Algebraic Equations ◽  
Differentiation Formula ◽  
Modeling And Analysis ◽  
Rayleigh Beam

This paper addresses three-dimensional dynamic modeling of a moving elevator traveling cable with bending and torsional stiffnesses and arbitrarily moving ends. An absolute nodal coordinate formulation based on Rayleigh beam theory is introduced to model the traveling cable. Dynamic equations of motion, which are presented as differential algebraic equations, are solved by the backward differentiation formula. Equilibria of a traveling cable with different cable parameters and car positions are first calculated. Motions of cable ends are prescribed next to simulate the free response of the traveling cable due to motion of the car. Finally, effects of different types of building sways on dynamic responses of the traveling cable are examined.

scholarly journals Dynamic Modeling and Analysis of 5-PSS/UPU Parallel Mechanism with Elastically Active Branched Chains

2020 ◽  
Vol 33 (1) ◽  
Author(s):  
Yanbiao Li ◽  
Hang Zheng ◽  
Bo Chen ◽  
Peng Sun ◽  
Zesheng Wang ◽  
...  
Keyword(s):  
Dynamic Modeling ◽  
Parallel Mechanism ◽  
Modeling And Analysis ◽  
Branched Chains

Dynamics of 3D Micropolar Gyroelastic Beams

2014 ◽  
Author(s):  
Soroosh Hassanpour ◽  
G. R. Heppler
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Dynamic Modeling ◽  
Dynamic Equations ◽  
Hamilton’S Principle ◽  
The Finite Element Method ◽  
Hamilton's Principle ◽  
Modeling And Analysis ◽  
Element Method

This paper is devoted to the dynamic modeling of micropolar gyroelastic beams and explores some of the modeling and analysis issues related to them. The simplified micropolar beam torsion and bending theories are used to derive the governing dynamic equations of micropolar gyroelastic beams from Hamilton’s principle. Then these equations are solved numerically by utilizing the finite element method and are used to study the spectral and modal behaviour of micropolar gyroelastic beams.

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