An Infinite-Length System Possessing a Unique Trapped Mode Versus a Single Degree of Freedom System: A Comparative Study in the Case of Time-Varying Parameters

2019 ◽  
pp. 231-251
Author(s):  
S. N. Gavrilov ◽  
E. V. Shishkina ◽  
Yu. A. Mochalova
Keyword(s):  
Comparative Study ◽  
Infinite Length ◽  
Time Varying ◽  
Single Degree Of Freedom ◽  
Varying Parameters ◽  
Trapped Mode ◽  
Single Degree ◽  
System A ◽  
Time Varying Parameters ◽  
Mode Versus

Study on Time-Varying Wires Structure in Wire-Driven Parallel Manipulators

2011 ◽  
Vol 148-149 ◽  
pp. 987-991 ◽  
Author(s):  
Sui Lu Yue ◽  
Qi Lin ◽  
Ru Bing Liu ◽  
Zhao Wang ◽  
Yi Xin Chen
Keyword(s):  
Parallel Manipulators ◽  
Calculation Model ◽  
Mobile Platform ◽  
Time Varying ◽  
Single Degree Of Freedom ◽  
Motion Equations ◽  
Single Degree ◽  
System A ◽  
Simulation Results ◽  
The Wire

In the paper, the concept of time-varying wires structure is proposed to avoid interference between wires and a mobile platform in a wire-driven parallel suspension system. A mathematical model, a kinematic notation model and a calculation model for interference between wires and the mobile platform have been built for it. When the mobile platform moves at a single degree of freedom pitch rotation, the motion equations of relevant hinge are deduced. The simulation results demonstrate that interference can be avoided in the wire-driven parallel manipulators with time-varying wires structure, and the workspace of the mobile platform may be enlarged. But different motions chosen for the hinge correspond to distinguishable sizes of workspace of the wire-driven parallel manipulators with time-varying wires structure. Therefore, according to the requirements to avoid interference, the motion of the hinge can be designed.

A New Exact Approach for Analyzing Free Vibration of SDOF Systems with Nonperiodically Time Varying Parameters

1999 ◽  
Vol 122 (2) ◽  
pp. 175-179 ◽  
Author(s):  
Q. S. Li
Keyword(s):  
Differential Equations ◽  
Free Vibration ◽  
Functional Relation ◽  
Time Varying ◽  
Single Degree Of Freedom ◽  
Varying Parameters ◽  
Exact Approach ◽  
Time Varying Parameters ◽  
Constant Coefficients ◽  
Good Agreement

A new exact approach for analyzing free vibration of single degree of freedom (SDOF) systems with nonperiodically time varying parameters is presented in this paper. The function for describing the variation of mass of a SDOF system with time is an arbitrary continuous real-valued function, and the variation of stiffness with time is expressed as a functional relation with the variation of mass and vice versa. Using appropriate functional transformation, the governing differential equations for free vibration of SDOF systems with nonperiodically time varying parameters are reduced to Bessel’s equations or ordinary differential equations with constant coefficients for several cases, and the corresponding exact analytical solutions are thus obtained. A numerical example shows that the results obtained by the derived exact approach are in good agreement with those calculated by numerical methods, illustrating that the proposed approach is an efficient and exact method. [S0739-3717(00)00902-8]

Synchronization of Chaotic Systems with Uncertain Time-Varying Parameters

2015 ◽  
Vol 9 (6) ◽  
pp. 568
Author(s):  
Ahmad Al-Jarrah ◽  
Mohammad Ababneh ◽  
Suleiman Bani Hani ◽  
Khalid Al-Widyan
Keyword(s):  
Chaotic Systems ◽  
Time Varying ◽  
Varying Parameters ◽  
Time Varying Parameters ◽  
Uncertain Time
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