Modeling of Elastic-Flexible Cables with Time-Varying Length for Cable-Driven Parallel Robots

Author(s):  
Philipp Tempel ◽  
Dongwon Lee ◽  
Felix Trautwein ◽  
Andreas Pott
2014 ◽  
Vol 28 (2) ◽  
pp. 457-466 ◽  
Author(s):  
Ji-hu Bao ◽  
Peng Zhang ◽  
Chang-Ming Zhu ◽  
Wei Sun

2000 ◽  
Author(s):  
Seung-Yop Lee

Abstract We introduce a new technique to analyze free vibration energy and natural frequencies of a string with time-varying length by dealing with traveling waves. One of boundaries is vertically fixed but it moves axially at a constant rate. When the string length is varied, the free vibration energy and period also change with time. String tension and non-zero instantaneous vertical velocity at the moving boundary results in the energy variation. When the string undergoes retraction, the vibration energy increases with time. The new technique using traveling waves gives the exact amount of energy transferred into the vibrating system at the moving boundary. The free vibration energy are compared with previous results using the perturbation method and Kotera’s approach.


2020 ◽  
Vol 2020 (0) ◽  
pp. 513
Author(s):  
Masato TAKEUCHI ◽  
Kensuke HARA ◽  
Hiroshi YAMAURA

2006 ◽  
Vol 5-6 ◽  
pp. 217-224 ◽  
Author(s):  
Rodanthi Salamaliki-Simpson ◽  
Stefan Kaczmarczyk ◽  
Phil Picton ◽  
Scott Turner

This paper focuses on the investigation of the autoparametric coupling effects and modal interactions in a suspension rope system with a time varying length. Equations of motion of a multi-degree-of-freedom discrete, non-stationary and non-linear model are presented and are used to analyze the dynamic response of an elevator suspension rope system under resonance conditions. The equations of motion involve quadratic and cubic non-linear terms which are responsible for the modal interaction between the lateral and longitudinal oscillations of the rope and the car motions. The model takes into account the periodic excitations caused by motion of the host structure. The results confirm that adverse responses may arise and internal autoparametric resonance phenomena may occur.


2015 ◽  
Vol 24 (03n04) ◽  
pp. 1550004
Author(s):  
Anas Mazady ◽  
Mehdi Anwar

DC circuit model of TiO2 memristors is developed based on the reported I-V data. The method described can easily be implemented to realize memristor based circuitries that serve different application platforms fabricated using any material combination. The time varying length of conductive filaments inside memristor, responsible for the observed switching mechanism, is implemented as the state variable and the state equations are modified accordingly. Once the device physics is taken into account the circuit model can be further adapted to predict the behavior of memristor with altered dimensions.


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