input equation
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Author(s):  
Linwei Ma ◽  
Xiaotao Zheng ◽  
Wei Wang ◽  
Wei Lin ◽  
Jianmin Xu ◽  
...  

Abstract In the numerical simulation of welding residual stress (WRS), the thermal fields distribution of the weld beads during welding process is the basic data to calculate the residual stress due to thermal expansion and extraction. Different welding heat input control method had been proposed and used in the WRS finite element method (FEM) analysis, such as input based on theory, input controlled by temperature monitoring point and so on. Some disadvantages like less calculating efficiency, unexpected temperature variation have been found in these methods. Based on the study of the FEM result of temperature distribution through the weld butter field by using constant unit heat input, the heat transfer activities of each weld bead were researched. And a novel heat input fitted equation was proposed to describe the suitable heat input data for each weld bead of the welding process. More reliable and uniform melting temperature of weld beads with different location could be achieved. And the welding residual stresses from different welding thermal field of theory method, temperature monitoring point method, and novel heat input equation method are compared with the measured WRS results. The results show that the WRS achieved from the novel heat input equations is close to the measured result and has more computational efficiency. The uncertain WRS data used for probability safety assessment were also proposed based on the FEM results with the novel heat input equation method.


2014 ◽  
Vol 668-669 ◽  
pp. 669-672
Author(s):  
Yao Xuan Feng ◽  
Hai Bao

In dynamic operating environment, it is one of key issues in the research field of electric energy metering that the accuracy of synchronous sampling signal based on phase locked technology. Because operating environment changes from steady state to dynamic, analytical description of PLL input signal becomes an urgent problem to be solved. In this paper, dynamic signal is analyzed mathematically by using zero-crossing detection theory, its phase expression is obtained, then mathematical equivalent conversion is made based on operation characteristics of PLL, its phase input equation is obtained, finally the correctness of the input equation is verified by Fourier transform method. This study lays the foundation for error analysis of electric energy metering system under dynamic condition.


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