The Equivalent Resistance Gradient Model of Metamorphic Mechanisms and the Design Method

2014 ◽  
Vol 50 (1) ◽  
pp. 18 ◽  
Author(s):  
Shujun LI
Author(s):  
Qiang Yang ◽  
Andrew P. Murray ◽  
David H. Myszka ◽  
Shujun Li

Abstract This paper approaches the type synthesis of multi-degree of freedom planar metamorphic mechanisms with a single driver in a systematic process. The process is facilitated by implementing a constraint status matrix and a equivalent resistance matrix as a method for identifying an appropriate structure of planar metamorphic mechanisms with a single driver. Multi-structures can be obtained from the same source metamorphic mechanism by designing different constraint architectures of metamorphic joints. To determine the constraint architectures of metamorphic joints and their different assembly combinations, the constraint status matrix is built based on the task-based metamorphic cyclogram of a source mechanism. According to the equivalent resistance gradient model and the constraint status matrix, an equivalent resistance matrix for the metamorphic joints is proposed. A structural synthesis matrix of the metamorphic mechanism is then obtained from the equivalent resistance matrix by deducing the constraint-form vectors of the metamorphic joints. Furthermore, an effective kinematic diagram synthesis of the source mechanism of the planar metamorphic mechanism is proposed which is based only on the 14 one or zero degree-of-freedom (DOF) linkage groups. The entire structural design method of a metamorphic mechanism is based on the structural synthesis matrix and given in steps. Finally, a proposed structural design approach is illustrated by two examples.


2020 ◽  
Vol 33 (1) ◽  
Author(s):  
Qiang Yang ◽  
Guangbo Hao ◽  
Shujun Li ◽  
Hongguang Wang ◽  
Haiyang Li

Abstract As a type of multiconfiguration mechanism that can operate in an under-actuated state, metamorphic mechanisms were proposed more than two decades ago and attracted significant interest. Studies on structural synthesis of metamorphic mechanisms tend to focus more on metamorphic techniques and the structural synthesis of source mechanisms for metamorphic mechanisms. By designing different constraint architectures of metamorphic joints, multistructures can be obtained from the same source metamorphic mechanism. To determine the constraint architectures of metamorphic joints and their different assembly combinations, a kinematic status matrix and a corresponding constraint status matrix are constructed based on the metamorphic cyclogram of a source mechanism. According to the equivalent resistance gradient model and the constraint status matrix, an equivalent resistance matrix for the metamorphic joints is proposed. A structural synthesis matrix of the metamorphic mechanism is then obtained from the equivalent resistance matrix by deducing the constraint form vectors of the metamorphic joints. Furthermore, a kinematic diagram synthesis of the source metamorphic mechanism of a planar single-loop metamorphic mechanism is proposed, which is based on only the 14 one- or zero-degrees-of-freedom linkage groups. The entire structural design method of a metamorphic mechanism is based on the structural synthesis matrix and is presented as a systematic process. Finally, the proposed structural design approach is illustrated by two examples to verify its feasibility and practicality. This study provides an effective method for designing a practical multi-mobility and multiconfiguration planar single-loop metamorphic mechanism with a single actuator.


2013 ◽  
Vol 552 ◽  
pp. 180-185 ◽  
Author(s):  
Guang Feng Shi ◽  
Guo Quan Shi ◽  
Lin Sen Song

For precise geometrical design and wear-resisting design of the roof diamond tool for ruling echelle grating of large area, computer aided reverse design was used to solve the problems. Firstly, based on the mechanical parameters of grating, Al film got from the nanoindentation test and nanoindenting simulated analysis. The optimized geometrical parameters of the roof diamond tool are got with an orthogonal analysis in a dynamical finite element model of simulating mechanical ruling. Then an equivalent resistance design method is put forward to improve the wearable ability of the roof diamond cutter with wear simulated analysis. Finally, a roof diamond tool of trial-lapping is presented for grating ruling investigation to verify the design effect.


2005 ◽  
Author(s):  
Michael Szczepkowski ◽  
Kelly Neville ◽  
Ed Popp
Keyword(s):  

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