matching equation
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Symmetry ◽  
2019 ◽  
Vol 11 (5) ◽  
pp. 629 ◽  
Author(s):  
Ke Zhang ◽  
Shenghao Tong ◽  
Huaitao Shi

During the construction of prefabricated building, there are some problems such as a time consuming, low-level of automation when precast concrete members are assembled and positioned. This paper presents vision-based intelligent assembly alignment guiding technology for columnar precast concrete members. We study the video images of assembly alignment of the hole at the bottom of the precast concrete members and the rebar on the ground. Our goal is to predict the trajectory of the moving target in a future moment and the movement direction at each position during the alignment process by assembly image sequences. However, trajectory prediction is still subject to the following challenges: (1) the effect of external environment (illumination) on image quality; (2) small target detection in complex backgrounds; (3) low accuracy of trajectory prediction results based on the visual context model. In this paper, we use mask and adaptive histogram equalization to improve the quality of the image and improved method to detect the targets. In addition, aiming at the low position precision of trajectory prediction based on the context model, we propose the end point position-matching equation according to the principle of end point pixel matching of the moving target and fixed target, as the constraint term of the loss function to improve the prediction accuracy of the network. In order to evaluate comprehensively the performance of the proposed method on the trajectory prediction in the assembly alignment task, we construct the image dataset, use Hausdorff distance as the evaluation index, and compare with existing prediction methods. The experimental results show that, this framework is better than the existing methods in accuracy and robustness at the prediction of assembly alignment motion trajectory of columnar precast concrete members.


Author(s):  
Juan Tomassini ◽  
Alejandro Donaire ◽  
Sergio Junco

"This paper presents a passivity-based controller design (PBC) aimed at stabilizing DC-DC power electronic converters with nonlinear dissipative loads. The converters considered in this work are the buck, the boost and the buck-boost. First, Bond Graph technique is used to obtain the flat output of each converter model. The controller is designed within the port-Hamiltonian (pH) framework, ensuring stability and other desired closed-loop properties. To this aim a desired closedloop dynamics in pH form with a quadratic storage function and a flat-output-inspired change of variables are proposed, which are common to the three converters. The controllers that render the closed-loop dynamics in the desired pH form are obtained via model matching. This design has two major advantages. The first is that the so-called matching equation can be solved by construction; thus, the cumbersome task of solving partial differential equations is avoided. The second advantage is that in all the converters treated the closed-loop dynamics is linear; thus, the performance of the control system can be easily determined via the tuning of the eigenvalues of the closed-loop evolution matrix. The performance is assessed through digital simulation."


2014 ◽  
Vol 136 (12) ◽  
Author(s):  
Michael Casey ◽  
Daniel Rusch

The matching of a vaned diffuser with a centrifugal impeller is examined with a one-dimensional (1D) analysis combined with extensive experimental data. A matching equation is derived to define the required throat area of the diffuser relative to the throat area of the impeller at different design speeds and validated by comparison with a wide range of compressor designs. The matching equation is then used to give design guidelines for the throat area of vaned diffusers operating with impellers at different tip-speed Mach numbers. An analysis of test data for a range of high pressure ratio turbocharger compressor stages is presented in which different matching between the diffuser and the impeller has been experimentally examined. The test data includes different impellers with different diffuser throat areas over a wide range of speeds. It is shown that the changes in performance with speed and diffuser throat area can be explained on the basis of the tip-speed Mach number which causes both the diffuser and impeller to choke at the same mass flow. Based on this understanding, a radial compressor map prediction method is extended to include this parameter, so that more accurate maps for matched and mismatched vaned diffusers can be predicted.


Author(s):  
Michael Casey ◽  
Daniel Rusch

The matching of a vaned diffuser with a centrifugal impeller is examined with a one-dimensional (1D) analysis combined with extensive experimental data. A matching equation is derived to define the required throat area of the diffuser relative to the throat area of the impeller at different design speeds and validated by comparison with a wide range of compressor designs. The matching equation is then used to give design guidelines for the throat area of vaned diffusers operating with impellers at different tip-speed Mach numbers. An analysis of test data for a range of high pressure ratio turbocharger compressor stages is presented in which different matching between the diffuser and the impeller has been experimentally examined. The test data includes different impellers with different diffuser throat areas over a wide range of speeds. It is shown that the changes in performance with speed and diffuser throat area can be explained on the basis of the tip-speed Mach number which causes both the diffuser and impeller to choke at the same mass flow. Based on this understanding, a radial compressor map prediction method is extended to include this parameter, so that more accurate maps for matched and mismatched vaned diffusers can be predicted.


2014 ◽  
Vol 5 (1) ◽  
Author(s):  
Jun-Sheng Duan ◽  
Randolph Rach ◽  
Abdul-Majid Wazwaz

AbstractIn this paper, we present a reliable algorithm to calculate positive solutions of homogeneous nonlinear boundary value problems (BVPs). The algorithm converts the nonlinear BVP to an equivalent nonlinear Fredholm– Volterra integral equation.We employ the multistage Adomian decomposition method for BVPs on two or more subintervals of the domain of validity, and then solve the matching equation for the flux at the interior point, or interior points, to determine the solution. Several numerical examples are used to highlight the effectiveness of the proposed scheme to interpolate the interior values of the solution between boundary points. Furthermore we demonstrate two novel techniques to accelerate the rate of convergence of our decomposition series solutions by increasing the number of subintervals and adjusting the lengths of subintervals in the multistage Adomian decomposition method for BVPs.


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